Convergence to equilibria for compressible Navier-Stokes equations with large data

DOI10.1007/BF02505958zbMath1038.76037MaRDI QIDQ1409663

Antonin Novotny, Ivan Straškraba

Publication date: 19 October 2003

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problema priori estimatesperiodic boundary conditionglobal weak solutionenergy estimateequilibrium density

Mathematics Subject Classification ID

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

Related Items (14)

Sequential stability of weak solutions in compressible self-gravitating fluids and stationary problem ⋮ Two-phase compressible/incompressible Navier-Stokes system with inflow-outflow boundary conditions ⋮ Large-time behaviour of solutions to a class of non-Newtonian compressible fluids ⋮ Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow ⋮ The Rayleigh-Bénard problem for compressible fluid flows ⋮ Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions ⋮ Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass ⋮ From the Boltzmann equation to the incompressible Navier-Stokes equations on the torus: a quantitative error estimate ⋮ On the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving force ⋮ Global behaviour for a viscous, heat-conductive, one-dimensional real gas with a non-autonomous external force and a heat source ⋮ On convergence to equilibria of flows of compressible viscous fluids under in/out-flux boundary conditions ⋮ On the Long-Time Behaviour of Compressible Fluid Flows Subjected to Highly Oscillating External Forces ⋮ Local solvability of equations of magnetohydrodynamics on the whole space ⋮ Randomness in compressible fluid flows past an obstacle

Cites Work

• 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
• An \(L^ p\)-theory for the \(n\)-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions
• Attracting properties for one dimensional flows of a general barotropic viscous fluid. Periodic flows
• Stability properties of regular flows of heat-conducting compressible fluids
• Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids
• Convergence to a ground state as a threshold phenomenon in nonlinear parabolic equations
• Properties and asymptotic behavior of solutions of some problems of one- dimensional motion of a viscous barotropic gas
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• On Integrability up to the boundary of the weak solutions of the navier—stokes equations of compressible flow

This page was built for publication: Convergence to equilibria for compressible Navier-Stokes equations with large data