Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping

DOI10.1016/j.aml.2020.106882zbMath1458.35315OpenAlexW3099107042MaRDI QIDQ2225287

Ming Mei, Jingyu Li, Haitong Li, Kai-Jun Zhang

Publication date: 8 February 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106882

zbMATH Keywords

Euler equationsconvergence ratetime-dependent damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items

Vacuum and singularity formation for compressible Euler equations with time-dependent damping ⋮ Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping ⋮ 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 ⋮ Asymptotic behavior of solutions to the Euler-Korteweg 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

Cites Work

• Blow up of solutions to 1-d Euler equations with time-dependent damping
• Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping
• Global existence of solutions to 1-d Euler equations with time-dependent damping
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping
• Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
• Global and blow-up solutions for compressible Euler equations with time-dependent damping
• Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping
• Best Asymptotic Profile for Hyperbolicp-System with Damping
• Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media
• Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case
• On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping