On the maximal LpL_pLp-$L_q$ regularity of the Stokes problem with first order boundary condition; model problems (original) (raw)

On the {\mathscr {}}$$-Bounded Solution Operator and the Maximal L_p$$Lp-$$L_q$$Lq egularity of the Stokes Equations With Free Boundary Condition

Yoshihiro Shibata

2016

View PDFchevron_right

Generalized Resolvent Estimates of the Stokes Equations with First Order Boundary Condition in a General Domain

Yoshihiro Shibata

Journal of Mathematical Fluid Mechanics, 2013

View PDFchevron_right

R Boundedness, Maximal Regularity and Free Boundary Problems for the Navier-Stokes Equations

Yoshihiro Shibata

2019

View PDFchevron_right

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

Yoshihiro Shibata

Journal of Differential Equations, 2003

View PDFchevron_right

On the maximal Lp- Lq theory arising in the study of a free boundary problem for the Navier-Stokes equations

Yoshihiro Shibata

2018

View PDFchevron_right

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

Yoshihiro Shibata

Differential and Integral Equations

View PDFchevron_right

The Stokes resolvent problem: optimal pressure estimates and remarks on resolvent estimates in convex domains

Patrick Tolksdorf

Calculus of Variations and Partial Differential Equations, 2020

View PDFchevron_right

$L_p-L_q$ maximal regularity for the Stokes equation with first order boundary condition(Mathematical Analysis in Fluid and Gas Dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday)

Yoshihiro Shibata

数理解析研究所講究録, 2006

View PDFchevron_right

On a resolvent estimate of the Stokes equation on an infinite layer

Yoshihiro Shibata

Journal of the Mathematical Society of Japan, 2003

View PDFchevron_right

A non-local approach to the generalized Stokes operator with bounded measurable coefficients

Patrick Tolksdorf

2020

View PDFchevron_right

On some free boundary problem of the Navier–Stokes equations in the maximal Lp–Lq regularity class

Yoshihiro Shibata

Journal of Differential Equations, 2015

View PDFchevron_right

Title ON A RESOLVENT ESTIMATE OF THE INTERFACE PROBLEM FOR THE STOKES SYSTEM IN A BOUNDED DOMAIN (Harmonic Analysis and Nonlinear Partial Differential Equations)

Yoshihiro Shibata

2018

View PDFchevron_right

On the mathcalRmathcal{R}mathcalR-Boundedness of Solution Operators for the weak Dirichlet-Neumann Problem (Mathematical Analysis of Incompressible Flow)

Yoshihiro Shibata

数理解析研究所講究録, 2014

View PDFchevron_right

On a free boundary problem for the Navier-Stokes equations

Yoshihiro Shibata

Differential and Integral Equations, 2007

View PDFchevron_right

On the ℛ-boundedness for the two phase problem: compressible-incompressible model problem

Yoshihiro Shibata

Boundary Value Problems, 2014

View PDFchevron_right

ON THE UNIQUENESS OF BOUNDED WEAK SOLUTIONS TO THE NAVIER-STOKES CAUCHY PROBLEM

Paolo Maremonti

View PDFchevron_right

Uniform Regularity for the Navier–Stokes Equation with Navier Boundary Condition

Nader Masmoudi

Archive for Rational Mechanics and Analysis, 2012

View PDFchevron_right

The Navier--Stokes equations in exterior Lipschitz domains: mathrmLp\mathrm{L}^pmathrmLp-theory

Patrick Tolksdorf

arXiv: Analysis of PDEs, 2019

View PDFchevron_right

Periodic mathrmLp\mathrm{L}_{p}mathrmLp Estimates by ℛ-Boundedness: Applications to the Navier-Stokes Equations

Yoshihiro Shibata

Acta Applicandae Mathematicae

View PDFchevron_right

On the regularity of the solutions of the Navier–Stokes equations via one velocity component

Milan Pokorny

Nonlinearity, 2010

View PDFchevron_right

Remark on regularity of weak solutions to the Navier-Stokes equations

Zdenek Skalak

2001

View PDFchevron_right

Regularity for the stationary Navier-Stokes equations in bounded domain

Michael Ruzicka

Archive for Rational Mechanics and Analysis, 1994

View PDFchevron_right

On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations

Marco Cannone

View PDFchevron_right

Regularity of solutions to a non homogeneous boundary value problem for general Stokes systems in Rn+

Hugo Da Veiga

Mathematische Annalen, 2005

View PDFchevron_right

Partial regularity of a generalized solution to the Navier-Stokes equations in exterior domain

Paolo Maremonti

Communications in Mathematical Physics, 1987

View PDFchevron_right

Periodic Lp estimates by R-boundedness: Applications to the Navier-Stokes equations

Yoshihiro Shibata

2022

View PDFchevron_right

On the supnorm form of Leray’s problem for the incompressible Navier-Stokes equations

paulo Zingano

Journal of Mathematical Physics, 2015

View PDFchevron_right

The Regularity of Weak Solutions of the 3D Navier―Stokes Equations in B―1∞,∞

Vladimir Sverak

Archive For Rational Mechanics and Analysis, 2010

View PDFchevron_right

On the Stokes and Navier-Stokes System for Domains with Noncompact Boundary in Lq-spaces

Hermann Sohr

Mathematische Nachrichten, 2006

View PDFchevron_right

𝐿^{𝑝}-𝐿^{𝑞} Maximal Regularity for Some Operators Associated with Linearized Incompressible Fluid-Rigid Body Problems

Marius Tucsnak

Mathematical Analysis in Fluid Mechanics, 2018

View PDFchevron_right

Some elementary estimates for the Navier-Stokes system

Jean Cortissoz

Proceedings of the American Mathematical Society, 2009

View PDFchevron_right

On H 2 -Estimates of Solutions to the Stokes System with an Artificial Boundary Condition

Hermann Sohr

Journal of Mathematical Fluid Mechanics, 2002

View PDFchevron_right

An Addedum to the Paper ”Some Elementary Estimates for the Navier-Stokes System”

Jean Cortissoz

2012

View PDFchevron_right

Interior Regularity for Solutions to the Modified Navier--Stokes Equations

G. Seregin

Journal of Mathematical Fluid Mechanics, 1999

View PDFchevron_right

About the regularized Navier–Stokes equations

Marco Cannone

View PDFchevron_right