Takahito Kashiwabara

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All published works
Action Title Year Authors
+ PDF Chat The well-posedness and regularity of the Non-stationary Stokes and Navier-Stokes equations with the friction-type interface condition 2024 Li Wang
Takahito Kashiwabara
Guanyu Zhou
+ PDF Chat Discrete Maximal Regularity for the Discontinuous Galerkin Time-Stepping Method without Logarithmic Factor 2024 Takahito Kashiwabara
Tomoya Kemmochi
+ PDF Chat An Uncertainty-aware, Mesh-free Numerical Method for Kolmogorov PDEs 2024 Daisuke Inoue
Yuji Ito
Takahito Kashiwabara
Norikazu Saito
Hiroaki Yoshida
+ PDF Chat $H^2$-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition 2024 T. Fukao
Takahito Kashiwabara
+ PDF Chat Error estimates of the cubic interpolated pseudo-particle scheme for one-dimensional advection equations 2024 Takahito Kashiwabara
Haruki Takemura
+ A fictitious-play finite-difference method for linearly solvable mean field games 2023 Daisuke Inoue
Yuji Ito
Takahito Kashiwabara
Norikazu Saito
Hiroaki Yoshida
+ Convergence Analysis of the Upwind Difference Methods for Hamilton-Jacobi-Bellman Equations 2023 Daisuke Inoue
Yuji Ito
Takahito Kashiwabara
Norikazu Saito
Hiroaki Yoshida
+ Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor 2023 Takahito Kashiwabara
Tomoya Kemmochi
+ Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension method 2023 Takahito Kashiwabara
+ The three limits of the hydrostatic approximation 2023 Ken Furukawa
Yoshikazu Giga
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
Marc Wrona
+ Unique solvability of a crack problem with Signorini-type and Tresca friction conditions in a linearized elastodynamic body 2022 Takahito Kashiwabara
Hiromichi Itou
+ A fictitious-play finite-difference method for linearly solvable mean field games 2022 Daisuke Inoue
Yuji Ito
Takahito Kashiwabara
Norikazu Saito
Hiroaki Yoshida
+ Unique solvability of a crack problem with Signorini-type and Tresca friction conditions in a linearized elastodynamic body 2022 Hiromichi Itou
Takahito Kashiwabara
+ PDF Chat Model Predictive Mean Field Games for Controlling Multi-Agent Systems 2021 Daisuke Inoue
Yuji Ito
Takahito Kashiwabara
Norikazu Saito
Hiroaki Yoshida
+ PDF Chat The primitive equations in the scaling-invariant space $$L^{\infty }(L^1)$$ 2021 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ PDF Chat A robust discontinuous Galerkin scheme on anisotropic meshes 2021 Takahito Kashiwabara
Takuya Tsuchiya
+ PDF Chat The hydrostatic approximation for the primitive equations by the scaled Navier–Stokes equations under the no-slip boundary condition 2021 Ken Furukawa
Yoshikazu Giga
Takahito Kashiwabara
+ An analysis on the penalty and Nitsche's methods for the Stokes–Darcy system with a curved interface 2021 Guanyu Zhou
Takahito Kashiwabara
Issei Oikawa
Eric T. Chung
Ming‐Cheng Shiue
+ Justification of the Hydrostatic Approximation of the Primitive Equations in Anisotropic Space $L^\infty_H L^q_{x_3}(\Torus^3)$ 2021 Ken Furukawa
Takahito Kashiwabara
+ PDF Chat Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations* 2020 Ken Furukawa
Yoshikazu Giga
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
Marc Wrona
+ The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions 2020 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ The Hydrostatic Approximation for the Primitive Equations by the Scaled Navier-Stokes Equations under the No-Slip Boundary Condition 2020 Ken Furukawa
Yoshikazu Giga
Takahito Kashiwabara
+ Model Predictive Mean Field Games for Controlling Multi-Agent Systems 2020 Daisuke Inoue
Yuji Ito
Takahito Kashiwabara
Norikazu Saito
Hiroaki Yoshida
+ PDF Chat Analyticity of solutions to the primitive equations 2019 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains 2019 Takahito Kashiwabara
Tomoya Kemmochi
+ PDF Chat Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition 2019 Takahito Kashiwabara
Issei Oikawa
Guanyu Zhou
+ RIGOROUS JUSTIFICATION OF THE HYDROSTATIC APPROXIMATION FOR THE PRIMITIVE EQUATIONS BY SCALED NAVIER-STOKES EQUATIONS 2018 Ken Furukawa
Yoshikazu Giga
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
Marc Wrona
+ $L^\infty$- and $W^{1,\infty}$-error estimates of linear finite element method for Neumann boundary value problems in a smooth domain 2018 Takahito Kashiwabara
Tomoya Kemmochi
+ Maximum norm error estimates for the finite element approximation of parabolic problems on smooth domains 2018 Takahito Kashiwabara
Tomoya Kemmochi
+ Penalty method with Crouzeix-Raviart approximation for the Stokes equations under slip boundary condition 2018 Takahito Kashiwabara
Issei Oikawa
Guanyu Zhou
+ ANALYTICITY OF SOLUTIONS TO THE PRIMITIVE EQUATIONS 2017 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ THE PRIMITIVE EQUATIONS IN THE SCALING INVARIANT SPACE L∞(L1) 2017 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ PDF Chat Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces 2017 Giovanni P. Galdi
Matthias Hieber
Takahito Kashiwabara
+ Bounded đ»^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications 2017 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ The Primitive Equations in the scaling invariant space $L^{\infty}(L^1)$ 2017 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ Global strong L well-posedness of the 3D primitive equations with heat and salinity diffusion 2016 Matthias Hieber
Amru Hussein
Takahito Kashiwabara
+ PDF Chat Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows 2016 Dieter Bothe
Takahito Kashiwabara
Matthias Köhne
+ Strong Well-Posedness for a Class of Dynamic Outflow Boundary Conditions for Incompressible Newtonian Flows 2016 Dieter Bothe
Takahito Kashiwabara
Matthias Köhne
+ Global Strong Well-Posedness of the Three Dimensional Primitive Equations in $${L^p}$$ L p -Spaces 2016 Matthias Hieber
Takahito Kashiwabara
+ PDF Chat Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition 2016 Takahito Kashiwabara
Issei Oikawa
Guanyu Zhou
+ Strong Well-Posedness for a Class of Dynamic Outflow Boundary Conditions for Incompressible Newtonian Flows 2016 Dieter Bothe
Takahito Kashiwabara
Matthias Köhne
+ Penalty Method for the Stationary Navier–Stokes Problems Under the Slip Boundary Condition 2015 Guanyu Zhou
Takahito Kashiwabara
Issei Oikawa
+ Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces 2015 Giovanni P. Galdi
Matthias Hieber
Takahito Kashiwabara
+ Penalty method with P1/P1 finite element approximation for the Stokes equations under slip boundary condition 2015 Takahito Kashiwabara
Issei Oikawa
Guanyu Zhou
+ On a strong solution of the non-stationary Navier–Stokes equations under slip or leak boundary conditions of friction type 2012 Takahito Kashiwabara
+ On a strong solution of the non-stationary Navier-Stokes equations under slip or leak boundary conditions of friction type 2012 Takahito Kashiwabara
+ On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type 2010 Takahito Kashiwabara
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics 2007 Chongsheng Cao
Edriss S. Titi
12
+ Global Strong Well-Posedness of the Three Dimensional Primitive Equations in $${L^p}$$ L p -Spaces 2016 Matthias Hieber
Takahito Kashiwabara
11
+ Anisotropic estimates and strong solutions of the primitive equations 2001 Francisco GuillĂ©n‐GonzĂĄlez
Nader Masmoudi
MA Rodriguez-Bellido
9
+ On the regularity of the primitive equations of the ocean 2007 Igor Kukavica
Mohammed Ziane
8
+ PDF Chat Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition 2016 Takahito Kashiwabara
Issei Oikawa
Guanyu Zhou
7
+ Bounded đ»^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications 2017 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
7
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
7
+ PDF Chat Analyticity of solutions to the primitive equations 2019 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
6
+ Recent Advances Concerning Certain Class of Geophysical Flows 2018 Jinkai Li
Edriss S. Titi
6
+ Primitive equations with continuous initial data 2014 Igor Kukavica
Yuan Pei
Walter Rusin
Mohammed Ziane
6
+ Finite element approximation on incompressible Navier-Stokes equations with slip boundary condition 1986 R. VerfĂŒrth
5
+ Recent Advances Concerning Certain Class of Geophysical Flows 2016 Jinkai Li
Edriss S. Titi
5
+ Global strong L well-posedness of the 3D primitive equations with heat and salinity diffusion 2016 Matthias Hieber
Amru Hussein
Takahito Kashiwabara
5
+ Some Mathematical Problems in Geophysical Fluid Dynamics 2009 Mădălina Petcu
Roger TĂ©mam
Mohammed Ziane
4
+ PDF Chat Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data 2017 Jinkai Li
Edriss S. Titi
4
+ PDF Chat Anisotropic estimates and strong solutions of the primitive equations 2001 Francisco GuillĂ©n‐GonzĂĄlez
Nader Masmoudi
María Ángeles Rodríguez‐Bellido
4
+ The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions 2020 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
4
+ Moving Interfaces and Quasilinear Parabolic Evolution Equations 2016 Jan PrĂŒĂŸ
Gieri Simonett
4
+ Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point 1996 A. H. Schatz
Ian H. Sloan
Lars B. Wahlbin
4
+ Existence of a Solution “in the Large” for Ocean Dynamics Equations 2007 Georgy M. Kobelkov
4
+ THE PRIMITIVE EQUATIONS IN THE SCALING INVARIANT SPACE L∞(L1) 2017 Yoshikazu Giga
Mathis Gries
Matthias Hieber
Amru Hussein
Takahito Kashiwabara
4
+ New development in freefem++ 2012 Frédéric Hecht
3
+ Discrete Maximal Lp Regularity for Finite Element Operators 2006 Matthias Geißert
3
+ Theory of function spaces 1983 Hans Triebel
3
+ On the Navier-Stokes initial value problem. I 1964 Hiroshi Fujita
Tosio Kato
3
+ PDF Chat Discrete maximal regularity and the finite element method for parabolic equations 2017 Tomoya Kemmochi
Norikazu Saito
3
+ Theory of Function Spaces 1983 Hans Triebel
3
+ PDF Chat Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics 2001 Pascal Azérad
Francisco Guillén
3
+ PDF Chat The primitive equations of the atmosphere in presence of vapour saturation 2015 Michele Coti Zelati
Aimin Huang
Igor Kukavica
Roger TĂ©mam
Mohammed Ziane
3
+ Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups 1998 Kenneth Eriksson
Claes Johnson
Stig Larsson
3
+ PDF Chat Linear and Quasilinear Parabolic Problems 1995 Herbert Amann
3
+ R-Boundedness, Fourier Multipliers, and Problems of Elliptic and Parabolic Type 2003 Robert Denk
Matthias Hieber
Jan PrĂŒĂŸ
3
+ StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions 1984 Tosio Kato
3
+ PDF Chat Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions 2004 H. BeirĂŁo da Veiga
3
+ Regularity results for stokes type systems 1995 Mohammed Ziane
3
+ Penalty Method for the Stationary Navier–Stokes Problems Under the Slip Boundary Condition 2015 Guanyu Zhou
Takahito Kashiwabara
Issei Oikawa
3
+ Elliptic Partial Differential Equations of Second Order 1997 Piero Bassanini
Alan R. Elcrat
3
+ Pressure projection stabilized finite element method for Navier–Stokes equations with nonlinear slip boundary conditions 2010 Li Yuan
Kaitai Li
2
+ Weak imposition of boundary conditions for the Navier–Stokes equations 2003 Atife Çağlar
2
+ Subdifferential boundary value problems for the nonstationary navier-stokes equations 2000 Д. ĐĄ. ĐšĐŸĐœĐŸĐČĐ°Đ»ĐŸĐČĐ°
2
+ Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains 1991 Yoshikazu Giga
Hermann Sohr
2
+ Elliptic Problems in Nonsmooth Domains 2011 Pierre Grisvard
2
+ Stability of plane Couette flows with respect to small periodic perturbations 2009 Horst Heck
Hyunseok Kim
Hideo Kozono
2
+ PDF Chat Existence of a solution ‘in the large’ for the 3D large-scale ocean dynamics equations 2006 G. M. Kobelkov
2
+ Penalty finite element method for Stokes problem with nonlinear slip boundary conditions 2008 Li Yuan
Kaitai Li
2
+ Two-level pressure projection finite element methods for Navier–Stokes equations with nonlinear slip boundary conditions 2010 Li Yuan
Rong An
2
+ PDF Chat Finite element approximation to infinite Prandtl number Boussinesq equations with temperature-dependent coefficients—Thermal convection problems in a spherical shell 2005 Masahisa Tabata
2
+ Regularity results for stokes type systems related to climatology 1995 Mohammed Ziane
2
+ PDF Chat Global Well–Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion 2012 Chongsheng Cao
Edriss S. Titi
2
+ Solutions in Lr of the Navier-Stokes initial value problem 1985 Yoshikazu Giga
Tetsuro Miyakawa
2