Global existence and nonlinear diffusion of classical solutions to non-isentropic Euler equations with damping in bounded domain

DOI10.1142/S0219891616500041zbMath1339.35226arXiv1405.2842MaRDI QIDQ2798340

Fuzhou Wu

Publication date: 12 April 2016

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

Full work available at URL: https://arxiv.org/abs/1405.2842

zbMATH Keywords

Darcy's lawglobal existencenonlinear diffusionequilibrium statenon-isentropic Euler equations with damping

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (2)

Initial layer and relaxation limit of non-isentropic compressible Euler equations with damping ⋮ Global existence and long-time behavior of solutions to the full compressible Euler equations with damping and heat conduction in \(\mathbb{R}^3\)

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• On the isothermal compressible Euler equations with frictional damping
• Remarks on the Euler equation
• A system of hyperbolic conservation laws with frictional damping
• The 3D compressible Euler equations with damping in a bounded domain
• Darcy's law as long-time limit of adiabatic porous media flow
• On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media
• Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
• Global Existence of Solutions for the System of Compressible Adiabatic Flow through Porous Media
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