On the existence of local strong solutions for the Navier–Stokes equations in completely general domains (original) (raw)

ANNALI DELL'UNIVERSITA' DI FERRARA, 2009

Optimal initial value conditions for the existence of local strong solutions of the Navier–Stokes equations

Mathematische Annalen, 2009

On boundedness, existence and uniqueness of strong solutions of the Navier-Stokes Equations in 3 dimensions

anastasia ruzmaikina

arXiv (Cornell University), 2008

Weak and Strong Solutions of the Navier-Stokes Initial Value Problem

eslam loka

Sharp Existence Results¶for the Stationary Navier-Stokes Problem¶in Three-Dimensional Exterior Domains

Giovanni Paolo Galdi

Archive for Rational Mechanics and Analysis, 2000

Global in Time Existence of Strong Solution to 3D Navier-Stokes Equations

Abdelkerim Chaabani

2020

Global regularity for the Navier–Stokes equations with some classes of large initial data

Zhifei Zhang

Analysis & PDE, 2011

Sharp Existence Results¶for the Stationary Navier-Stokes Problem¶in Three-Dimensional Exterior Domains

Pippo Mirto

2000

On the Stokes equations with the Navier-type boundary conditions

Nour El houda

Differential Equations & Applications, 2011

Strong solutions of the incompressible Navier-Stokes equations in external domains: local existence and uniqueness

Massimo Tessarotto

EXISTENCE, UNIQUENESS AND REGULARITY OF S TATIONARY SOLUTIONS TO INHOMOGENEOUS NAVIER-STOKES EQUATIONS IN n

Czech Math J, 2009

1D and 2D GLOBAL STRONG SOLUTIONS OF NAVIER STOKES EXISTENCE AND UNIQUENESS

Jake Brockbank

2022

theory for Stokes and Navier–Stokes equations with Navier boundary condition

Carlos Conca

Journal of Differential Equations, 2014

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

Journal of Differential Equations, 2015

Asymptotic analysis of the Navier-Stokes equations in the domains

Roger Temam

Topological Methods in Nonlinear Analysis, 1997

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

Paolo Maremonti

Additional Note on Partial Regularity of Weak Solutions of the Navier-Stokes Equations in the Class L ∞(0, T, L 3(Ω)3)

Zdenek Skalak

Applications of Mathematics

On the Global Well-Posedness and Decay of a Free Boundary Problem of the Navier–Stokes Equation in Unbounded Domains

Mathematics, 2022

Regularity for the stationary Navier-Stokes equations in bounded domain

Michael Ruzicka

Archive for Rational Mechanics and Analysis, 1994

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

2016

Uniqueness for the Navier–Stokes equations and multipliers between Sobolev spaces

Ramzi May

Nonlinear Analysis: Theory, Methods & Applications, 2007

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

Patrick Tolksdorf

arXiv: Analysis of PDEs, 2019

a local regularity condition involving two velocity components of serrin-type for the navier-stokes equations

Hyeong-Ohk Bae

Stokes and Navier-Stokes equations with Navier boundary condition Equations de Stokes et de Navier-Stokes avec la condition de Navier

Carlos Conca

HAL (Le Centre pour la Communication Scientifique Directe), 2019

New Sufficient Conditions of Local Regularity for Solutions to the Navier–Stokes Equations

G. Seregin

Journal of Mathematical Fluid Mechanics, 2008

Weak Solutions for Navier–Stokes Equations with Initial Data in Weighted L^2$$ Spaces

Pedro Dalgo

Archive for Rational Mechanics and Analysis, 2020

A Note on Strong Solutions to the Stokes System

Luigi Berselli

Acta Applicandae Mathematicae, 2014

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

Mathematische Nachrichten, 2006

Some Aspects of the Asymptotic Dynamics of Solutions of the Homogeneous Navier–Stokes Equations in General Domains

Zdenek Skalak

Journal of Mathematical Fluid Mechanics, 2010

Addendum to the Paper Ëxistence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p

Calixto Calderon

Transactions of the American Mathematical Society, 1990

Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density

Zhifei Zhang

Communications in Partial Differential Equations, 2013

On a free boundary problem for the Navier-Stokes equations

Differential and Integral Equations, 2007

Strong solutions to the incompressible Navier Stokes equations in the half space

Marco Cannone

2000

On the Serrin-type condition on one velocity component for the Navier-Stokes equations

Jörg Wolf

arXiv (Cornell University), 2019

A new regularity criterion for weak solutions to the Navier–Stokes equations

Michel THERA

Journal de Mathématiques Pures et Appliquées, 2005