Takeyuki Nagasawa

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All published works

Action	Title	Year	Authors
+ PDF Chat	Lower estimate of blow-up time and blow-up rate for non-local curvature flows for plane curves	2025	Takeyuki Nagasawa
+ PDF Chat	A Möbius invariant discretization of O’Hara’s Möbius energy	2022	Simon Blatt Aya Ishizeki Takeyuki Nagasawa
+	Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number	2021	Takeyuki Nagasawa Kohei Nakamura
+ PDF Chat	Decomposition of generalized O’Hara’s energies	2020	Aya Ishizeki Takeyuki Nagasawa
+ PDF Chat	Upper and Lower Bounds and Modulus of Continuity of Decomposed Möbius Energies	2020	Aya Ishizeki Takeyuki Nagasawa
+ PDF Chat	Variational formulae and estimates of O’Hara’s knot energies	2020	Shoya Kawakami Takeyuki Nagasawa
+	Upper and lower bounds and modulus of continuity of decomposed Möbius energies	2020	Aya Ishizeki Takeyuki Nagasawa
+	Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number	2020	Takeyuki Nagasawa Kohei Nakamura
+ PDF Chat	Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows	2019	Takeyuki Nagasawa Kohei Nakamura
+	Decomposition of generalized O'Hara's energies	2019	Aya Ishizeki Takeyuki Nagasawa
+	A Möbius invariant discretization and decomposition of the Möbius energy	2019	Simon Blatt Aya Ishizeki Takeyuki Nagasawa
+	Cosine formula for generalized O'Hara's energies	2019	Takeyuki Nagasawa
+	Variational formulae and estimates of O'Hara's knot energies	2019	Shoya Kawakami Takeyuki Nagasawa
+	Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows	2018	Takeyuki Nagasawa Kohei Nakamura
+	A Möbius invariant discretization of O'Hara's Möbius energy	2018	Simon Blatt Aya Ishizeki Takeyuki Nagasawa
+	On Möbius invariant decomposition of the Möbius energy	2017	Takeyuki Nagasawa
+	The $$ L^2 $$ L 2 -gradient of decomposed Möbius energies	2016	Aya Ishizeki Takeyuki Nagasawa
+	The invariance of decomposed Möbius energies under inversions with center on curves	2015	Aya Ishizeki Takeyuki Nagasawa
+	Global existence of generalized rotational hypersurfaces with prescribed mean curvature in Euclidean spaces, I	2015	Katsuei Kenmotsu Takeyuki Nagasawa
+	A decomposition theorem of the Möbius energy II: variational formulae and estimates	2015	Aya Ishizeki Takeyuki Nagasawa
+ PDF Chat	A decomposition theorem of the Möbius energy I: Decomposition and Möbius invariance	2014	Aya Ishizeki Takeyuki Nagasawa
+	On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces. I	2013	Katsuei Kenmotsu Takeyuki Nagasawa
+	On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces, II	2013	Takeyuki Nagasawa
+	Existence and Uniqueness of the n-Dimensional Helfrich Flow	2012	Takeyuki Nagasawa
+	Local existence and uniqueness for the n-dimensional Helfrich flow as a projected gradient flow	2012	Takeyuki Nagasawa Taekyung YI
+	Gradient Flow for the Helfrich Variational Problem (Progress in Variational Problems : New Trends of Geometric Gradient Flow and Critical Point Theory)	2011	Takeyuki Nagasawa
+	How to unify the total/local-length-constraints of the gradient flow for the bending energy of plane curves	2009	Yuki Miyamoto Takeyuki Nagasawa Fumito Suto
+	Bifurcating critical points of bending energy under constraints related to the shape of red blood cells	2003	Takeyuki Nagasawa Izumi Takagi
+	A missing term in the energy inequality for weak solutions to the Navier-Stokes equations (Mathematical Analysis in Fluid and Gas Dynamics)	2002	Takeyuki Nagasawa
+	A variational problem with constraints for the modified Willmore functional with constraints (Variational Problems and Related Topics)	2001	Takeyuki Nagasawa
+	A refinement of the energy inequality for the Navier–Stokes equations	2001	Takeyuki Nagasawa
+ PDF Chat	Blow-up solutions for ordinary differential equations associated to harmonic maps and their applications	2001	Takeyuki Nagasawa Atsushi Tachikawa
+	A New Energy Inequality and Partial Regularity for weak Solutions of Navier—Stokes Equations	2001	Takeyuki Nagasawa
+ PDF Chat	Initial-final value problems for ordinary differential equations and applicatlons to equivariant harmonic maps	1998	Takeyuki Nagasawa Keisuke Ueno
+	Navier-stokes flow on riemannian manifolds	1997	Takeyuki Nagasawa
+	Weak Solutions of a Semilinear Hyperbolic System on a Nondecreasing Domain	1996	Takeyuki Nagasawa Atsushi Tachikawa
+	Weak Solutions of a Semilinear Hyperbolic System on a Nondecreasing Domain	1996	Takeyuki Nagasawa Atsushi Tachikawa
+ PDF Chat	Existence and asymptotic behavior of weak solutious to semilinear hyperbolic systems with damping terms	1996	Takeyuki Nagasawa Atsushi Tachikawa
+ PDF Chat	Existence and asymptotic behavior of weak solutions to strongly damped semilinear hyperbolic systems	1995	Takeyuki Nagasawa Atsushi Tachikawa
+ PDF Chat	The set of solutions for certain semilinear heat equations	1995	Takeyuki Nagasawa
+	Boundary value problems to a certain class of non‐linear diffusion equations	1991	Takeyuki Nagasawa
+	On Asymptotic Stability of Yang-Mills' Gradient Flow	1989	Takeyuki Nagasawa
+	On the One-dimensional Free Boundary Problem for the Heat-conductive Compressible Viscous Gas	1989	Takeyuki Nagasawa
+ PDF Chat	$L_{p,q}$-estimates for certain semi-linear parabolic equations	1989	Takeyuki Nagasawa
+ PDF Chat	Weak Asymptotical Stability of Yang-Mills' Gradient Flow	1988	Kazuyo Kono Takeyuki Nagasawa
+	Global asymptotics of the outer pressure problem with free boundary	1988	Takeyuki Nagasawa
+	On the outer pressure problem of the one-dimensional polytropic ideal gas	1988	Takeyuki Nagasawa
+ PDF Chat	On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with stress-free condition	1988	Takeyuki Nagasawa
+	On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary	1986	Takeyuki Nagasawa

Common Coauthors

Coauthor	Papers Together
Aya Ishizeki	11
Atsushi Tachikawa	5
Kohei Nakamura	4
Simon Blatt	3
Shoya Kawakami	2
Katsuei Kenmotsu	2
Kazuyo Kono	1
Yuki Miyamoto	1
Taekyung YI	1
Fumito Suto	1
Izumi Takagi	1
Keisuke Ueno	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Mobius Energy of Knots and Unknots	1994	Michael Freedman Zheng-Xu He Zhenghan Wang	13
+	BOUNDEDNESS AND REGULARIZING EFFECTS OF O'HARA'S KNOT ENERGIES	2011	Simon Blatt	12
+	Energy of a knot	1991	Jun O’Hara	12
+ PDF Chat	A decomposition theorem of the Möbius energy I: Decomposition and Möbius invariance	2014	Aya Ishizeki Takeyuki Nagasawa	10
+	A decomposition theorem of the Möbius energy II: variational formulae and estimates	2015	Aya Ishizeki Takeyuki Nagasawa	7
+	Circles minimize most knot energies	2002	Aaron Abrams Jason Cantarella Joseph H. G. Fu Mohammad Ghomi Ralph Howard	5
+	The Euler-Lagrange equation and heat flow for the Möbius energy	2000	Zheng-Xu He	5
+ PDF Chat	Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth	2015	Simon Blatt Philipp Reiter Armin Schikorra	4
+	Family of energy functionals of knots	1992	Jun O’Hara	4
+	On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary	1986	Takeyuki Nagasawa	4
+ PDF Chat	The gradient flow of the Möbius energy near local minimizers	2011	Simon Blatt	4
+ PDF Chat	On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables	1971	Karel Rektorys	4
+ PDF Chat	On the analyticity of critical points of the Möbius energy	2018	Simon Blatt Nicole Vorderobermeier	4
+	Heat Flows and Relaxed Energies for Harmonic Maps	1992	Fabrice Béthuel Jean‐Michel Coron Jean‐Michel Ghidaglia Alain Soyeur	4
+ PDF Chat	On a non-local curve evolution problem in the plane	2008	Lishang Jiang Shengliang Pan	4
+	Energy functionals of knots II	1994	Jun O’Hara	4
+	ENERGY FUNCTIONS FOR POLYGONAL KNOTS	1994	Jonathan Simon	3
+	On a Variational Problem on Hypersurfaces	1973	Bang‐Yen Chen	3
+	Repulsive knot energies and pseudodifferential calculus for O’Hara’s knot energy family <i>E</i><sup>(α)</sup>, α ∈ [2, 3)	2012	Philipp Reiter	3
+	On the outer pressure problem of the one-dimensional polytropic ideal gas	1988	Takeyuki Nagasawa	3
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	3
+ PDF Chat	Stationary points of O’Hara’s knot energies	2012	Simon Blatt Philipp Reiter	3
+ PDF Chat	Existence and asymptotic behavior of weak solutions to strongly damped semilinear hyperbolic systems	1995	Takeyuki Nagasawa Atsushi Tachikawa	3
+ PDF Chat	The gradient flow of O’Hara’s knot energies	2017	Simon Blatt	3
+	On an area-preserving evolution equation for plane curves	1986	Michael E. Gage	3
+	Discrete Möbius energy	2014	Sebastian Scholtes	3
+	Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)	1984	Mariano Giaquinta	3
+ PDF Chat	On the free boundary value problem for compressible viscous fluid motion	1981	Atusi Tani	3
+	An approach to the construction of Morse flows for variational functionals	1991	Norio Kikuchi	3
+ PDF Chat	Harmonic mappings from Rm into an Hadamard manifold	1990	Atsushi Tachikawa	2
+ PDF Chat	Generalized rotational hypersurfaces of constant mean curvature in the Euclidean spaces. I	1982	Wu-Yi Hsiang	2
+ PDF Chat	Möbius invariant energies and average linking with circles	2015	Jun O’Hara Gil Solanes	2
+	Hamilton's Ricci Flow	2006	Bennett Chow Peng Lü Lei Ni	2
+ PDF Chat	Minimal submanifolds of low cohomogeneity	1971	Wu-Yi Hsiang H. Blaine Lawson	2
+ PDF Chat	On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term	1995	Shuichi Kawashima Mitsuhiro Nakao Kosuke Ono	2
+	THE BETA FUNCTION OF A KNOT	1999	Jean-Luc Brylinski	2
+ PDF Chat	Torus Knots Extremizing the Möbius Energy	1993	Denise Kim Rob Kusner	2
+ PDF Chat	A Study of Ordinary Differential Equations Arising from Equivariant Harmonic Maps	1994	Keisuke Ueno	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+ PDF Chat	Surfaces of revolution with prescribed mean curvature	1980	Katsuei Kenmotsu	2
+	Surfaces of revolution with periodic mean curvature	2003	Katsuei Kenmotsu	2
+	Recovering a Function from a Dini Derivative	2006	John W. Hagood Brian S. Thomson	2
+ PDF Chat	Global solutions to the initial value problem for the equations of one-dimensional motion of viscous polytropic gases	1981	Shuichi Kawashima Takaaki Nishida	2
+	Stability and decay for a class of nonlinear hyperbolic problems	1988	Enrique Zuazua	2
+ PDF Chat	Equivariant Harmonic Maps Associated to Large Group Actions	1994	Keisuke Ueno Hajime Urakawa	2
+ PDF Chat	A generalization of a theorem of Delaunay	1981	Wu-Yi Hsiang Wen Ci Yu	2
+	Area-preserving evolution of nonsimple symmetric plane curves	2014	Xiao-Liu Wang Linghua Kong	2
+ PDF Chat	POLYGONAL APPROXIMATION AND ENERGY OF SMOOTH KNOTS	2006	Eric J. Rawdon Jonathan Simon	2
+ PDF Chat	Quasilinear wave equations and related nonlinear evolution equations	1981	Yoshio Yamada	2
+	Decay of solutions of some nonlinear evolution equations	1977	Mitsuhiro Nakao	2