Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media

DOI10.1080/03605302.2010.520052zbMath1252.35181OpenAlexW2037814436MaRDI QIDQ3104535

Zhen Wang, Shi-feng Geng

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03605302.2010.520052

zbMATH Keywords

convergence ratesnonlinear diffusion wavescompressible adiabatic flow

Mathematics Subject Classification ID

Diffusion (76R50) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (14)

Initial-boundary value problem for p-system with damping in half space ⋮ Half space problem for Euler equations with damping in 3-D ⋮ Half space problem of the system of compressible adiabatic flow through porous media in multi-D ⋮ Global solutions for the 1-D compressible Euler equations with time-dependent damping ⋮ The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Convergence to diffusion waves for solutions of 1D Keller–Segel model ⋮ Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping ⋮ Large-time behavior of solutions for the system of compressible adiabatic flow through porous media with nonlinear damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping ⋮ Decay of the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case ⋮ Global and blow-up solutions for compressible Euler equations with time-dependent damping ⋮ Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Convergence rates to the damped system of compressible adiabatic flow through porous media with boundary effect

Cites Work

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• Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
• \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
• Darcy's law as long-time limit of adiabatic porous media flow
• Asymptotic Behavior of Solutions to the System of Compressible Adiabatic Flow through Porous Media
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• Best Asymptotic Profile for Hyperbolicp-System with Damping
• Asymptotics toward the diffusion wave for a one-dimensional compressible flow through porous media
• Global Existence of Solutions for the System of Compressible Adiabatic Flow through Porous Media
• Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping

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