S. Shimizu

发表

Strong solutions of the Navier–Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces

H. Kozono, S. Shimizu, Senjo Shimizu, 2019, Journal of Functional Analysis.

On a free boundary problem for the Navier-Stokes equations

Y. Shibata, S. Shimizu, Senjo Shimizu, 2007, Differential and Integral Equations.

Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations

H. Kozono, S. Shimizu, Akira Okada, 2020 .

Modeling of Two-Phase Flows With and Without Phase Transitions

J. Prüss, S. Shimizu, 2016 .

On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension

G. Simonett, Jan Pruess, M. Wilke, 2013, 1310.4341.

On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities

J. Prüss, S. Shimizu, Senjo Shimizu, 2011, 1109.2051.

On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities

G. Simonett, J. Prüss, Y. Shibata, 2011 .

Loss of control of motions from initial data for pending capillary liquid

U. Massari, M. Padula, S. Shimizu, 2011 .

Maximal regularity for the Cauchy problem of the heat equation in BMO

T. Ogawa, S. Shimizu, Senjo Shimizu, 2022, Mathematische Nachrichten.

Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension

Y. Shibata, S. Shimizu, Senjo Shimizu, 2011 .

Qualitative Behaviour of Incompressible Two-Phase Flows with Phase Transitions: The Case of Non-Equal Densities

Jan Pruess, M. Wilke, S. Shimizu, 2012, 1304.3302.

On the maximal $L_p$-$L_q$ regularity of the Stokes problem with first order boundary condition; model problems

Y. Shibata, S. Shimizu, Senjo Shimizu, 2012 .

On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier–Stokes equations

S. Shimizu, Y. Shibata, Senjo Shimizu, 2009 .

Maximal $$L^1$$-regularity for parabolic initial-boundary value problems with inhomogeneous data

Takayoshi Ogawa, Senjo Shimizu, T. Ogawa, 2021, Journal of Evolution Equations.

Global well-posedness for the incompressible Navier–Stokes equations in the critical Besov space under the Lagrangian coordinates

T. Ogawa, S. Shimizu, Senjo Shimizu, 2021 .

End-point maximal $$L^1$$L1-regularity for the Cauchy problem to a parabolic equation with variable coefficients

T. Ogawa, S. Shimizu, Senjo Shimizu, 2016 .

A Decay Property of the Fourier Transform and its Application to the Stokes Problem

Y. Shibata, S. Shimizu, 2001 .

Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity

H. Kozono, K. Kaneko, S. Shimizu, 2019, Indiana University Mathematics Journal.

Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

T. Ogawa, S. Shimizu, Senjo Shimizu, 2021, Journal of Elliptic and Parabolic Equations.

End-point maximal regularity and its application to two-dimensional Keller–Segel system

T. Ogawa, S. Shimizu, Senjo Shimizu, 2010 .

Maximal Lp–Lq regularity for the two-phase Stokes equations; Model problems

Yoshihiro Shibata, Senjo Shimizu, Y. Shibata, 2011 .

Local Solvability of Free Boundary Problems for the Two-phase Navier-Stokes Equations with Surface Tension in the Whole Space

S. Shimizu, 2011 .

On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain

Yoshihiro Shibata, Senjo Shimizu, Y. Shibata, 2008 .

Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition

Yoshihiro Shibata, Senjo Shimizu, Y. Shibata, 2007 .

Global existence of weak solutions to 3D Navier-Stokes IBVP with non-decaying initial data in exterior domains

P. Maremonti, S. Shimizu, 2020 .

Global existence of solutions to 2-D Navier–Stokes flow with non-decaying initial data in half-plane

P. Maremonti, S. Shimizu, 2018, Journal of Differential Equations.

Global Existence of Solutions to 2-D Navier–Stokes Flow with Non-decaying Initial Data in Exterior Domains

P. Maremonti, S. Shimizu, 2018, 1801.08411.

Global Existence of Solutions to 2-D Navier–Stokes Flow with Non-decaying Initial Data in Exterior Domains

P. Maremonti, S. Shimizu, 2017, Journal of Mathematical Fluid Mechanics.

On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

Yoshihiro Shibata, Senjo Shimizu, Y. Shibata, 2001 .

Title THE LIMITING ABSORPTION PRINCIPLE FOR ELASTIC WAVE PROPAGATION PROBLEMS IN PERTURBED STRATIFIED MEDIA R$^3$(Spectral and Scattering Theory

S. Shimizu, 2018 .

The drift–diffusion system in two-dimensional critical Hardy space

T. Ogawa, S. Shimizu, Senjo Shimizu, 2008 .

Preface

T. Ozawa, Y. Taniuchi, Kazuhiro Ishige, 2012, Numerical Algorithms.

Lp-Lq maximal regularity and viscous incompressible flows with free surface

Yoshihiro Shibata, Senjo Shimizu, Y. Shibata, 2005 .

$L_p$–$L_q$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain

Y. Shibata, S. Shimizu, 2007 .

L p - L q maximal regularity and viscous incompressible ﬂows with free surface

Y. Shibata, S. Shimizu, 2005 .

A Characterization of Harmonic $$L^r$$-Vector Fields in Three Dimensional Exterior Domains

H. Kozono, Matthias Hieber, S. Shimizu, 2022, The Journal of Geometric Analysis.

Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains

H. Kozono, Matthias Hieber, S. Shimizu, 2021, Calculus of Variations and Partial Differential Equations.

The Helmholtz–Weyl decomposition of $$L^r$$ L r vector fields for two dimensional exterior domains

H. Kozono, Matthias Hieber, S. Shimizu, 2020, The Journal of Geometric Analysis.

$L^r$-Helmholtz-Weyl decomposition for three dimensional exterior domains

H. Kozono, Matthias Hieber, S. Shimizu, 2019, 1912.04452.

A Characterization of Harmonic $$L^r$$Lr-Vector Fields in Two-Dimensional Exterior Domains

H. Kozono, Matthias Hieber, S. Shimizu, 2019, The Journal of Geometric Analysis.