Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition
type: Item
instance of: scholarly article
title: Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition
zbMATH Open document ID: 1213.35344
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2011-01-17T00:00:00Z
review text: The authors study the existence and regularity of solutions to the Navier-Stokes and Oseen equations with nonhomogeneous divergence conditions and nonhomogeneous Dirichlet boundary conditions. The right hand sides of the nonhomogeneous conditions are chosen to satisfy a compatibility condition which is inspired by the divergence theorem. Comparison with related results is done in order to point out the novelty of the paper.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 5837948
zbMATH Keywords: existence and regularity of solutions
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: nonhomogeneous divergence condition
zbMATH Keywords: nonhomogeneous Dirichlet boundary condition
zbMATH Keywords: Oseen equation
author: J-P Raymond
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
full work available at URL: dcdsb.2010.14.1537
OpenAlex ID: W1991910068
DOI: 10.3934/DCDSB.2010.14.1537
Recommended article: Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
Recommended article: Stokes and Navier-Stokes equations with Navier boundary conditions
Recommended article: Stokes and Navier-Stokes equations with Navier boundary condition
Recommended article: Navier­Stokes Equations with Nonhomogeneous Dirichlet Data
Recommended article: Q3338678
Recommended article: On the Stokes equations with the Navier-type boundary conditions
Recommended article: On the Stokes problem with nonzero divergence
Recommended article: Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain
Recommended article: The Navier-Stokes equation in noncylindrical domain
Recommended article: Q4739436
description: scientific article; zbMATH DE number 5837948