BOUNDED ABSORBING SETS FOR THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE FLUID

DOI10.1081/PDE-100106129zbMath0999.35067OpenAlexW2010678129MaRDI QIDQ2769483

Hana Petzeltová, Eduard Feireisl

Publication date: 30 November 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100106129

zbMATH Keywords

weak solutionsdecay estimatesenergy inequalitycompressible viscous fluids

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (13)

On global behavior of weak solutions to the Navier-Stokes equations of compressible fluid for \(\gamma=5/3\) ⋮ Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid ⋮ A note on complete bounded trajectories and attractors for compressible self-gravitating fluids ⋮ The Rayleigh-Bénard problem for compressible fluid flows ⋮ On the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving force ⋮ On the Cauchy problem for a one-dimensional compressible viscous polytropic ideal gas ⋮ Asymptotic compactness of global trajectories generated by the Navier-Stokes equations of a compressible fluid ⋮ Large-time behavior of solutions to the Stokes approximation equations for two-dimensional compressible flows ⋮ On the Long-Time Behaviour of Compressible Fluid Flows Subjected to Highly Oscillating External Forces ⋮ Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid ⋮ Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces ⋮ Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions ⋮ Attractors for the inhomogeneous incompressible Navier-Stokes flows

Cites Work

• Compact attractors for the Navier-Stokes equations of one-dimensional, compressible flow
• Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet
• On Integrability up to the boundary of the weak solutions of the navier—stokes equations of compressible flow

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