The evolution compressible Navier-Stokes system on polygonal domains

DOI10.1016/j.jde.2006.09.014zbMath1121.35102OpenAlexW2070835051MaRDI QIDQ863384

Jae Ryong Kweon

Publication date: 26 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.09.014

zbMATH Keywords

corner singularityregularity of mild solutionsstress intensity function

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

Jump dynamics due to jump datum of compressible viscous Navier-Stokes flows in a bounded plane domain ⋮ Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon ⋮ The 2D compressible Euler equations in bounded impermeable domains with corners

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Elliptic problems in domains with piecewise smooth boundaries
• A regularity result for the Stokes problem in a convex polygon
• Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions
• Global existence in critical spaces for compressible Navier-Stokes equations
• Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
• An evolution compressible Stokes system in a polygon
• On steady compressible Navier-Stokes equations in plane domains with corners
• Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
• Transient viscoelastic flows in planar contractions
• On the uniqueness in critical spaces for compressible Navier-Stokes equations
• Edge Behavior of the Solution of an Elliptic Problem
• Regularity of weak solutions of the compressible isentropic navier-stokes equations
• Regularity of Solutions to the Navier--Stokes System for Compressible Flows on a Polygon
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• On Integrability up to the boundary of the weak solutions of the navier—stokes equations of compressible flow
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Equivalent Norms for Sobolev Spaces
• Compressible Stokes problem on nonconvex polygonal domains

This page was built for publication: The evolution compressible Navier-Stokes system on polygonal domains