\(L^{1}\)-convergence rates to the Barenblatt solution for the damped compressible Euler equations

DOI10.1016/j.jde.2018.12.016zbMath1417.35101OpenAlexW2907955011WikidataQ128680742 ScholiaQ128680742MaRDI QIDQ1733217

Fei-Min Huang, Shi-feng Geng

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.016

zbMATH Keywords

compensated compactnessBarenblatt solutiondamped compressible Euler equationsentropy functionals

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

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Stability and asymptotic analysis for instationary gas transport via relative energy estimates ⋮ Convergence rates to the Barenblatt solutions for the compressible Euler equations with time-dependent damping ⋮ Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in \({\mathbb {R}}^n\): (II) Overdamping Case ⋮ Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum ⋮ Global existence and long-time behavior of solutions to the full compressible Euler equations with damping and heat conduction in \(\mathbb{R}^3\) ⋮ $L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping ⋮ Optimal \(L^p\)-\(L^q\)-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation ⋮ \(L^2\)-convergence to nonlinear diffusion waves for Euler equations with time-dependent damping ⋮ The isothermal limit for the compressible Euler equations with damping ⋮ Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case ⋮ Vacuum and singularity formation problem for compressible Euler equations with general pressure law and time-dependent damping

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