Hideo Kozono

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All published works

Action	Title	Year	Authors
+	Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick	2025	Hideo Kozono Senjo Shimizu
+	Liouville-type theorems for the Taylor–Couette–Poiseuille flow of the stationary Navier–Stokes equations	2024	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+ PDF Chat	Asymptotic behavior of solutions to elliptic equations in 2D exterior domains	2024	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Removability of time-dependent singularities of solutions to the Navier-Stokes equations	2024	Hideo Kozono Erika Ushikoshi Fumitaka Wakabayashi
+	On a Compatibility Condition for the Navier-Stokes Solutions in Maximal $$L^p$$-regularity Class	2024	Hideo Kozono Senjo Shimizu
+ PDF Chat	Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition	2023	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity	2023	Hideo Kozono Peer Christian Kunstmann Senjo Shimizu
+	Stability of stationary solutions to the Navier–Stokes equations in the Besov space	2023	Hideo Kozono Senjo Shimizu
+	Liouville-type theorems for the new Taylor--Couette flow of the stationary Navier--Stokes equations	2023	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Removable time-dependent singularities of solutions to the Stokes equations	2022	Hideo Kozono Erika Ushikoshi Fumitaka Wakabayashi
+	A Characterization of Harmonic $$L^r$$-Vector Fields in Three Dimensional Exterior Domains	2022	Matthias Hieber Hideo Kozono Anton Seyfert Senjo Shimizu Taku Yanagisawa
+ PDF Chat	Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral	2022	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition	2022	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+ PDF Chat	Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl	2021	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+ PDF Chat	Preface	2021	Robert Denk Yoshikazu Giga Hideo Kozono Jürgen Saal Gieri Simonett Edriss S. Titi
+	Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains	2021	Matthias Hieber Hideo Kozono Anton Seyfert Senjo Shimizu Taku Yanagisawa
+	L-Helmholtz-Weyl decomposition for three dimensional exterior domains	2021	Matthias Hieber Hideo Kozono Anton Seyfert Senjo Shimizu Taku Yanagisawa
+	The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	2021	Reinhard Farwig Hideo Kozono Kazuyuki Tsuda David Wegmann
+	Nonlinear Partial Differential Equations for Future Applications	2021	Shigeaki Koike Hideo Kozono Takayoshi Ogawa Shigeru Sakaguchi
+	Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier–Stokes equations	2020	Hideo Kozono Akira Okada Senjo Shimizu
+	The Helmholtz–Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains	2020	Matthias Hieber Hideo Kozono Anton Seyfert Senjo Shimizu Taku Yanagisawa
+ PDF Chat	Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains	2020	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second orderin unbounded domains	2020	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl	2020	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations	2019	Hideo Kozono Akira Okada Senjo Shimizu
+	Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid	2019	Hideo Kozono Masanari Miura Yoshie Sugiyama
+	A Characterization of Harmonic $$L^r$$-Vector Fields in Two-Dimensional Exterior Domains	2019	Matthias Hieber Hideo Kozono Anton Seyfert Senjo Shimizu Taku Yanagisawa
+	Sobolev's imbedding theorem in the limiting case with Lorentz space and BMO	2019	Hideo Kozono Kouei Minamidate Hidemitsu Wadade
+	Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity	2019	Kenta Kaneko Hideo Kozono Senjo Shimizu
+	$L^r$-Helmholtz-Weyl decomposition for three dimensional exterior domains	2019	Matthias Hieber Hideo Kozono Anton Seyfert Senjo Shimizu Taku Yanagisawa
+	Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral	2019	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier–Stokes equations	2018	Reinhard Farwig Hideo Kozono David Wegmann
+	Strong solutions of the Navier–Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces	2018	Hideo Kozono Senjo Shimizu
+	Finite energy of generalized suitable weak solutions to the Navier–Stokes equations and Liouville-type theorems in two dimensional domains	2018	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Navier–Stokes equations with external forces in time‐weighted Besov spaces	2018	Hideo Kozono Senjo Shimizu
+	Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains	2018	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Strong solutions of the Navier-Stokes equations with singular data	2018	Hideo Kozono Senjo Shimizu
+	Navier–Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions	2017	Hideo Kozono Senjo Shimizu
+	LIOUVILLE-TYPE THEOREMS FOR THE STATIONARY AND NONSTATIONARY NAVIER-STOKES EQUATIONS (The structure of function spaces and its environment)	2017	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data	2017	Reinhard Farwig Hideo Kozono David Wegmann
+	Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions	2017	Itsuko Hashimoto Hideo Kozono
+	Decay of Non-Stationary Navier-Stokes Flow with Nonzero Dirichlet Boundary Data	2017	David Wegmann Reinhard Farwig Hideo Kozono
+	A remark on Liouville-type theorems for the stationary Navier–Stokes equations in three space dimensions	2016	Hideo Kozono Yutaka Terasawa Yuta Wakasugi
+	Hadamard variational formula for eigenvalues of the Stokes equations and its application	2016	Shuichi Jimbo Hideo Kozono Yoshiaki Teramoto Erika Ushikoshi
+	Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid	2016	Hideo Kozono Masanari Miura Yoshie Sugiyama
+	Recent Developments of Mathematical Fluid Mechanics	2016	Herbert Amann Yoshikazu Giga Hideo Kozono Hisashi Okamoto Masao Yamazaki
+	The Work of Yoshihiro Shibata	2016	Herbert Amann Yoshikazu Giga Hisashi Okamoto Hideo Kozono Masaso Yamazaki
+	Stokes Semigroup, Strong, Weak, and Very Weak Solutions for General Domains	2016	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Existence of periodic solutions and their asymptotic stability to the Navier–Stokes equations with the Coriolis force	2014	Hideo Kozono Yuki Mashiko Ryo Takada
+	Weak solutions of the Navier–Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality	2014	Reinhard Farwig Hideo Kozono
+	Leray's problem on $D$-solutions to the stationary Navier-Stokes equations past an obstacle (Mathematical Analysis of Incompressible Flow)	2014	Horst Heck Hyunseok Kim Hideo Kozono
+	Remark on the stability of the large stationary solutions to the Navier–Stokes equations under the general flux condition	2013	Naoya Kanbayashi Hideo Kozono Takahiro Okabe
+	Hadamard Variational Formula for the Green’s Function of the Boundary Value Problem on the Stokes Equations	2013	Hideo Kozono Erika Ushikoshi
+	Global Compensated Compactness Theorem for General Differential Operators of First Order	2012	Hideo Kozono Taku Yanagisawa
+	Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems	2012	Hideo Kozono Taku Yanagisawa
+	Weak solutions of the stationary Navier–Stokes equations for a viscous incompressible fluid past an obstacle	2012	Horst Heck Hyunseok Kim Hideo Kozono
+	Existence and uniqueness theorem on weak solutions to the parabolic–elliptic Keller–Segel system	2012	Hideo Kozono Yoshie Sugiyama Yumi Yahagi
+	On the stationary Navier–Stokes equations in exterior domains	2012	Hyunseok Kim Hideo Kozono
+	Theory of global well-posedness on the nonlinear partial differential equations	2012	Hideo Kozono
+	On the stationary Navier–Stokes flows around a rotating body	2011	Horst Heck Hyunseok Kim Hideo Kozono
+	Leray’s inequality in general multi-connected domains in $${\mathbb{R}^n}$$	2011	Reinhard Farwig Hideo Kozono Taku Yanagisawa
+	Existence and uniqueness theorem on mild solutions to the Keller–Segel system in the scaling invariant space	2011	Hideo Kozono Yoshie Sugiyama Takuya Wachi
+ PDF Chat	Global Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Boundary Data and Divergence	2011	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values	2011	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Strong solutions to the Keller-Segel system with the weak<i>L</i><sup><i>n</i>/2</sup>initial data and its application to the blow-up rate	2010	Hideo Kozono Yoshie Sugiyama
+ PDF Chat	Global Weak Solutions of the Navier-Stokes System with Nonzero Boundary Conditions	2010	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Regularity of Weak Solutions for the Navier-Stokes Equations Via Energy Criteria	2009	Reinhard Farwig Hideo Kozono Hermann Sohr
+ PDF Chat	Nonhomogeneous boundary value problems for stationary Navier–Stokes equations in a multiply connected bounded domain	2009	Hideo Kozono Taku Yanagisawa
+	Global DIV-CURL Lemma in 3D bounded domains (Harmonic Analysis and Nonlinear Partial Differential Equations)	2009	Hideo Kozono Taku Yanagisawa
+	Non-existence of finite-time self-similar solutions of the Keller–Segel system in the scaling invariant class	2009	Hideo Kozono Yoshie Sugiyama Ryo Takada
+	Unique solvability for the stationary Navier-Stokes equations in exterior domains	2009	Hyunseok Kim Hideo Kozono
+	Global strong solution to the semi-linear Keller–Segel system of parabolic–parabolic type with small data in scale invariant spaces	2009	Hideo Kozono Yoshie Sugiyama
+	Stability of plane Couette flows with respect to small periodic perturbations	2009	Horst Heck Hyunseok Kim Hideo Kozono
+	Global Div-Curl lemma on bounded domains in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>	2009	Hideo Kozono Taku Yanagisawa
+ PDF Chat	On the stokes operator in general unbounded domains	2009	Reinhard Farwig Hideo Kozono Hermann Sohr
+	$L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains	2009	Hideo Kozono Taku Yanagisawa
+	Energy-Based Regularity Criteria for the Navier–Stokes Equations	2008	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Leray’s problem on the stationary Navier–Stokes equations with inhomogeneous boundary data	2008	Hideo Kozono Taku Yanagisawa
+	Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system	2008	Hideo Kozono Yoshie Sugiyama
+	The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions	2008	Hideo Kozono Yoshie Sugiyama
+	Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin's condition	2008	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Remarks on Gagliardo–Nirenberg type inequality with critical Sobolev space and BMO	2007	Hideo Kozono Hidemitsu Wadade
+	The Stokes Resolvent Problem in General Unbounded Domains (Kyoto Conference on the Navier-Stokes Equations and their Applications)	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	On the Helmholtz decomposition in general unbounded domains	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Very weak, weak and strong solutions to the instationary Navier-Stokes system	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Maximal Regularity of the Stokes Operator in General Unbounded Domains of ℝ n	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Local space-time regularity criteria for weak solutions of the Navier-Stokes equations beyond Serrin's condition	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Local in time regularity properties of the Navier-Stokes equations	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+ PDF Chat	Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	The Stokes resolvent problem in general unbounded domains	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality	2006	Hideo Kozono Tokushi Sato Hidemitsu Wadade
+	A removable isolated singularity theorem for the stationary Navier–Stokes equations	2005	Hyunseok Kim Hideo Kozono
+	The Helmholtz decomposition in arbitrary unbounded domains : a theory beyond L2	2005	Reinhard Farwig Hideo Kozono Hermann Sohr
+ PDF Chat	An Lq-approach to Stokes and Navier-Stokes equations in general domains	2005	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality (Variational Problems and Related Topics)	2004	Hideo Kozono Tokushi Sato Hidemitsu Wadade
+	Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality (Harmonic Analysis and Nonlinear Partial Differential Equations)	2004	Hideo Kozono Tokushi Sato Hidemitsu Wadade
+	Bilinear estimates in homogeneous Triebel‐Lizorkin spaces and the Navier‐Stokes equations	2004	Hideo Kozono Yukihiro Shimada
+	Interior regularity criteria in weak spaces for the Navier-Stokes equations	2004	Hyunseok Kim Hideo Kozono
+	Upper bound of the best constant of the Trudinger-Moser inequality and its application	2004	Hideo Kozono Tokushi Sato Hidemitsu Wadade
+	Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations	2003	Hideo Kozono Naoki Yatsu
+ PDF Chat	NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO	2003	Hideo Kozono Takayoshi Ogawa Yasushi Taniuchi
+ PDF Chat	Remark on the paper by S. Dubois "mild solutions to the Navier-Stokes equations and energy equality"	2003	Hideo Kozono
+	The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations	2002	Hideo Kozono Takayoshi Ogawa Yasushi Taniuchi
+ PDF Chat	Stokes problem for Lipschitz domain	2002	Hi Jun Choe Hideo Kozono
+	WELL-POSEDNESS FOR THE BENJAMIN EQUATIONS	2001	Hideo Kozono Takayoshi Ogawa Hirooki Tanisaka
+	Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains	2001	Hideo Kozono
+	Uniqueness and Regularity of solutions to the Navier-Stokes equations (Studies on structure of solutions of nonlinear PDEs and its analytical methods)	2001	Hideo Kozono
+ PDF Chat	Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space	2001	Hideo Kozono
+	On Well—Posedness of the Navier—Stokes Equations	2001	Hideo Kozono
+	Asymptotic Stability of Large Solutions with Large Perturbation to the Navier–Stokes Equations	2000	Hideo Kozono
+	Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations	2000	Hideo Kozono Yasushi Taniuchi
+	Bilinear estimates in BMO and the Navier-Stokes equations	2000	Hideo Kozono Yasushi Taniuchi
+	Bilinear estimates and critical Sobolev inequality in $BMO$, with applications to the Navier-Stokes and the Euler equations (Mathematical Analysis in Fluid and Gas Dynamics)	2000	Hideo Kozono Yasushi Taniuchi
+	Bilinear estimates in BM O and the Navier-Stokes equations	2000	Hideo Kozono Yasushi Taniuchi
+	Uniqueness criterion of weak solutions to the stationary Navier–Stokes equations in exterior domains	1999	Hideo Kozono Masao Yamazaki
+ PDF Chat	Global strong solution of the Navier–Stokes equations in 4 and 5 dimensional unbounded domains	1999	Hermann Sohr Hideo Kozono
+	$L^1$ -solutions of the Navier-Stokes equations in exterior domains	1998	Hideo Kozono
+	On a larger class of stable solutions to the Navier-Stokes equations in exterior domains	1998	Hideo Kozono Masao Yamazaki
+	EXTERIOR PROBLEM FOR THE NAVIER-STOKES EQUATIONS, EXISTENCE, UNIQUENESS AND STABILITY OF STATIONARY SOLUTIONS	1998	Hideo Kozono Masao Yamazaki
+	Exterior problem for the stationary Navier-Stokes equations in the Lorentz space	1998	Hideo Kozono Masao Yamazaki
+ PDF Chat	A Yang-Mills-Higgs gradient flow on $mathbf{R}^3$ blowing up at infinity	1998	Hideo Kozono Yoshiaki Maeda Hisashi Naito
+	Removable singularities of weak solutions to the navier-stokes equations	1998	Hideo Kozono
+ PDF Chat	Regularity criterion of weak solutions to the Navier-Stokes equations	1997	Hideo Kozono Hermann Sohr
+ PDF Chat	REPRESENTATION FORMULA, NET FORCE AND ENERGY RELATION TO THE STATIONARY NAVIER-STOKES EQUATIONS IN 3-DIMENSIONAL EXTERIOR DOMAINS	1997	Hideo Kozono Hermann Sohr Masao Yamazaki
+	The Navier-Stokes equation with distributions as initial data and application to self-similar solutions	1997	Hideo Kozono Masao Yamazaki
+ PDF Chat	Periodic solutions of the Navier-Stokes equations in unbounded domains	1996	Hideo Kozono Mitsuhiro Nakao
+ PDF Chat	Global solution for the Yang-Mills gradient flow on 4-manifolds	1995	Hideo Kozono Yoshiaki Maeda Hisashi Naito
+ PDF Chat	Small stable stationary solutions in Morrey spaces of the Navier-Stokes equation	1995	Hideo Kozono Masao Yamazaki
+ PDF Chat	The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation	1995	Hideo Kozono Masao Yamazaki
+	Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries	1994	Hideo Kozono Takayoshi Ogawa
+ PDF Chat	On stability of Navier-Stokes flows in exterior domains	1994	Hideo Kozono Takayoshi Ogawa
+	Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data	1994	Hideo Kozono Masao Yamazaki
+	Two-dimensional Navier-Stokes flow in unbounded domains	1993	Hideo Kozono Takayoshi Ogawa
+	Decay properties of strong solutions for the navier-stokes equations in two-dimensional unbounded domains	1993	Hideo Kozono Takayoshi Ogawa
+	Asymptotic behaviour inL r for weak solutions of the Navier-Stokes equations in exterior domains	1992	Hideo Kozono Takayoshi Ogawa Hermann Sohr
+ PDF Chat	Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains	1992	Hideo Kozono Hermann Sohr
+	Stability in L$^r$ for the Navier-Stokes Flow in a n-dimensional Bounded Domain(Mathematical Analysis of Fluid and Plasma Dynamics)	1990	Hideo Kozono Tohru Ozawa
+	Stability in Lr for the Navier-Stokes flow in an n-dimensional bounded domain	1990	Hideo Kozono Tohru Ozawa
+ PDF Chat	Relative bounds of closable operators in non-reflexive Banach spaces	1990	Hideo Kozono Tohru Ozawa
+ PDF Chat	A stable manifold theorem for the Yang-Mills gradient flow	1990	Hisashi Naito Hideo Kozono Yoshiaki Maeda
+	Strong solution for the Navier-Stokes flow in the half-space	1990	Hideo Kozono
+ PDF Chat	On Asymptotic Stability for the Yang-Mills Gradient Flow	1989	Hideo Kozono Yoshiaki Maeda
+	Global Ln-solution and its decay property for the Navier-Stokes equations in half-space R+n	1989	Hideo Kozono
+ PDF Chat	Weak and classical solutions of the two-dimensional magnetohydrodynamic equations	1989	Hideo Kozono
+	Asymptotic behavior of the Yang-Mills gradient flow	1989	Hisashi Naito Hideo Kozono Yoshiaki Maeda
+	On a decay property of weak solution of the M.H.D. equations in a 3-dimensional exteriror domain(Mathematical Analysis of Fluid and Plasma Dynamics I)	1988	Hideo Kozono
+ PDF Chat	On the energy decay of a weak solution of the M. H. D. equations in a three-dimensional exterior domain	1987	Hideo Kozono
+	On a decay property of weak solution for semilinear evolution equation of parabolic type and its applications	1987	Hideo Kozono
+	On existence and uniqueness of a global classical solution of the two-dimensional Euler equation in a time-dependent domain	1985	Hideo Kozono

Common Coauthors

Coauthor	Papers Together
Reinhard Farwig	25
Hermann Sohr	24
Senjo Shimizu	17
Yuta Wakasugi	14
Taku Yanagisawa	14
Yutaka Terasawa	14
Masao Yamazaki	10
Yoshie Sugiyama	9
Takayoshi Ogawa	8
Hyunseok Kim	8
Anton Seyfert	6
Hidemitsu Wadade	6
Matthias Hieber	6
Yasushi Taniuchi	6
Yoshiaki Maeda	5
Hisashi Naito	4
David Wegmann	4
Erika Ushikoshi	4
Tokushi Sato	4
Horst Heck	4
Yoshikazu Giga	3
Tohru Ozawa	3
Ryo Takada	2
Hisashi Okamoto	2
Masanari Miura	2
Fumitaka Wakabayashi	2
Herbert Amann	2
Akira Okada	2
Naoki Yatsu	1
Itsuko Hashimoto	1
Robert Denk	1
Edriss S. Titi	1
Yuki Mashiko	1
Gieri Simonett	1
Masaso Yamazaki	1
Shigeaki Koike	1
Yumi Yahagi	1
Kazuyuki Tsuda	1
Takayoshi Ogawa	1
Takahiro Okabe	1
Kenta Kaneko	1
Naoya Kanbayashi	1
Shuichi Jimbo	1
Takuya Wachi	1
Y Shimada	1
Hi Jun Choe	1
Yoshiaki Teramoto	1
Jürgen Saal	1
Kouei Minamidate	1
Shigeru Sakaguchi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato	32
+	Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains	1991	Yoshikazu Giga Hermann Sohr	26
+ PDF Chat	Weak solutions of Navier-Stokes equations	1984	Kyûya Masuda	24
+	Analyticity of the semigroup generated by the Stokes operator inL r spaces	1981	Yoshikazu Giga	23
+	On the Navier-Stokes initial value problem. I	1964	Hiroshi Fujita Tosio Kato	23
+ PDF Chat	Estimates for solutions of nonstationary Navier-Stokes equations	1977	V. A. Solonnikov	23
+	Solutions in Lr of the Navier-Stokes initial value problem	1985	Yoshikazu Giga Tetsuro Miyakawa	21
+	A new approach to the Helmholtz decomposition and the Neumann problem in <font>L</font><font><sup>q</sup></font>-spaces for bounded and exterior domains	1992	Christian G. Simader Hermann Sohr	20
+	On nonstationary solutions of the Navier-Stokes equations in an exterior domain	1982	Tetsuro Miyakawa	18
+	Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system	1986	Yoshikazu Giga	17
+	On the Strong Solvability of the NavierStokes Equations	2000	Herbert Amann	16
+	Uniqueness criterion of weak solutions to the stationary Navier–Stokes equations in exterior domains	1999	Hideo Kozono Masao Yamazaki	15
+ PDF Chat	Algebraic L2 decay for Navier-Stokes flows in exterior domains	1990	Wolfgang Borchers Tetsuro Miyakawa	15
+	An L_r-theorem of the Helmholtz decomposition of vector fields	1977	Daisuke Fujiwara Hiroko Morimoto	14
+	Domains of fractional powers of the Stokes operator in Lr spaces	1985	Yoshikazu Giga	14
+ PDF Chat	Generalized resolvent estimates for the Stokes system in bounded and unbounded domains	1994	Reinhard Farwig Hermann Sohr	14
+	L q -L r estimates for solutions of the nonstationary stokes equations in an exterior domain and the Navier-Stokes initial value problems inL q spaces	1989	Hirokazu Iwashita	13
+ PDF Chat	On the equations rot v=g and div u=f with zero boundary conditions	1990	Wolfgang Borchers Hermann Sohr	12
+	A New Class of Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Data	2005	Reinhard Farwig Giovanni P. Galdi Hermann Sohr	12
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	12
+	$L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains	2009	Hideo Kozono Taku Yanagisawa	11
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	11
+	On optimal initial value conditions for local strong solutions of the Navier–Stokes equations	2009	Reinhard Farwig Hermann Sohr Werner Varnhorn	10
+	On the interior regularity of weak solutions of the Navier-Stokes equations	1962	James Serrin	10
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	10
+	Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data	1994	Hideo Kozono Masao Yamazaki	10
+ PDF Chat	New estimates for the steady-state Stokes problem in exterior domains with applications to the Navier-Stokes problem	1994	Giovanni P. Galdi Christian G. Simader	10
+ PDF Chat	On stability of exterior stationary Navier-Stokes flows	1995	Wolfgang Borchers Tetsuro Miyakawa	10
+	Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries	1986	V. N. Maslennikova M. E. Bogovskiï	9
+ PDF Chat	On the stability of incompressible viscous fluid motions past objects	1975	Kyûya Masuda	9
+ PDF Chat	NavierStokes Equations with Nonhomogeneous Dirichlet Data	2003	Herbert Amann	9
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	9
+ PDF Chat	An Lq-approach to Stokes and Navier-Stokes equations in general domains	2005	Reinhard Farwig Hideo Kozono Hermann Sohr	9
+ PDF Chat	A solution formula for the Stokes equation in R<sup>n</sup><sub>+</sub>	1987	Seiji Ukai	9
+	Leray’s problem on the stationary Navier–Stokes equations with inhomogeneous boundary data	2008	Hideo Kozono Taku Yanagisawa	9
+	On energy inequality, smoothness and large time behavior inL 2 for weak solutions of the Navier-Stokes equations in exterior domains	1988	Tetsuro Miyakawa Hermann Sohr	8
+	On Critical Cases of Sobolev′s Inequalities	1995	Tohru Ozawa	8
+	Exterior problem for the stationary Navier-Stokes equations in the Lorentz space	1998	Hideo Kozono Masao Yamazaki	8
+ PDF Chat	Note on decay of solutions of steady Navier-Stokes equations in $3$-D exterior domains	1995	Antonín Novotný M. Padula	8
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	8
+ PDF Chat	Regularity criterion of weak solutions to the Navier-Stokes equations	1997	Hideo Kozono Hermann Sohr	8
+	On the singular set and the uniqueness of weak solutions of the Navier-Stokes equations	1984	Hermann Sohr Wolf von Wahl	8
+ PDF Chat	Liouville theorems for the Navier–Stokes equations and applications	2009	Gabriel S. Koch Nikolaï Nadirashvili G. Serëgin Vladimír Šverák	8
+	On the exterior stationary problem for the navier-stokes equations, and associated perturbation problems	1965	Robert Finn	8
+	Self-similar solutions for navier-stokes equations in	1996	Marco Cannone Fabrice Planchon	7
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru	7
+	Un teorema di unicità per le equazioni di Navier-Stokes	1959	G. A. Prodi	7
+	Compensated compactness and Hardy spaces	1993	Ronald R. Coifman Pierre Louis Lions Yves Meyer Stephen Semmes	7
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	7
+	Decay Results for Weak Solutions of the Navier-Stokes Equations on R<sup>n</sup>	1987	Michael Wiegner	7