Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case
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Publication:4960422
DOI10.1137/19M1272846zbMath1437.35119OpenAlexW3014738305MaRDI QIDQ4960422
Ming Mei, Shi-feng Geng, Yan Ping Lin
Publication date: 16 April 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1272846
Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Euler equations (35Q31)
Related Items (21)
Incompressible limit of Euler equations with damping ⋮ Classical solutions for 1D compressible Euler equations with over damping ⋮ Analytical blowup solutions to the compressible Euler equations with time-depending damping ⋮ Convergence rates to the Barenblatt solutions for the compressible Euler equations with time-dependent damping ⋮ The time asymptotic expansion 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 ⋮ Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping ⋮ Global solutions for the 1-D compressible Euler equations with time-dependent damping ⋮ Riemann problem for a \(2 \times 2\) hyperbolic system with time-gradually-degenerate damping ⋮ The best asymptotic profile of solutions to Euler equations with time‐dependent damping ⋮ Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping ⋮ Asymptotic behavior of solutions to the Euler-Korteweg equations with time-dependent damping ⋮ Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping ⋮ Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum ⋮ Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping ⋮ Decay rates of solutions to Euler equations with time-dependent damping ⋮ $L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping ⋮ Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis ⋮ Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping ⋮ Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case ⋮ On global smooth solutions of the 3D spherically symmetric Euler equations with time-dependent damping and physical vacuum
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