Senjo Shimizu

发表

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 .

On the Stokes equation with Neumann boundary condition

Y. Shibata, Senjo Shimizu, 2005 .

On a resolvent estimate for the Stokes system with Neumann boundary condition

Yoshihiro Shibata, Senjo Shimizu, Y. Shibata, 2003, Differential and Integral Equations.

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.

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

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

Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier–Stokes equations

H. Kozono, Akira Okada, Senjo Shimizu, 2020, Journal of Evolution 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 .

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

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

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.

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

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

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

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

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

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

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

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

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.

Maximal $L^{1}$-regularity and free boundary problems for the incompressible Navier–Stokes equations in critical spaces

Senjo Shimizu, Takayoshi Ogawa, 2023, Journal of the Mathematical Society of Japan.

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 .

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.

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

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

On a free boundary problem for the Navier-Stokes equations

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

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 .

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 .