Convergence rates to nonlinear diffusion waves for weak entropy solutions to \(p\)-system with damping
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Publication:547829
DOI10.1007/BF02884028zbMath1215.35107OpenAlexW4242375617MaRDI QIDQ547829
Publication date: 25 June 2011
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02884028
Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (42)
Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant ⋮ The 3D compressible Euler equations with damping in a bounded domain ⋮ \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping ⋮ Large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb{R}^3\) ⋮ Large time behavior and pointwise estimates for compressible Euler equations with damping ⋮ Convergence rates to the Barenblatt solutions for the compressible Euler equations with time-dependent damping ⋮ Stability of aerostatic equilibria in porous medium flows ⋮ Half space problem of the system of compressible adiabatic flow through porous media in multi-D ⋮ Convergence to nonlinear diffusion waves for solutions of hyperbolic-parabolic chemotaxis system ⋮ The time asymptotic expansion for the compressible Euler equations with time-dependent damping ⋮ Large time behavior of a hyperbolic-parabolic model of vasculogenesis ⋮ The asymptotic profile of solutions to damped Euler equations ⋮ Space-time decay rate of high-order spatial derivative of solution for 3D compressible Euler equations with damping ⋮ Space-time decay rate of the compressible adiabatic flow through porous media in \({\mathbb{R}}^3\) ⋮ Global existence and large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb R^3\) ⋮ The time asymptotic expansion of the bipolar hydrodynamic model for semiconductors ⋮ Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\) ⋮ Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant ⋮ Large-time behavior of solutions for the system of compressible adiabatic flow through porous media with nonlinear damping ⋮ \(L^{1}\)-convergence rates to the Barenblatt solution for the damped compressible Euler equations ⋮ Convergence to nonlinear diffusion waves for solutions of Euler-Korteweg equations with damping ⋮ Decay rates of solutions to Euler equations with time-dependent damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping ⋮ Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping ⋮ The 3D non-isentropic compressible Euler equations with damping in a bounded domain ⋮ $L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping ⋮ Best asymptotic profile for linear damped \(p\)-system with boundary effect ⋮ On the isothermal compressible Euler equations with frictional damping ⋮ \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with 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 ⋮ Boundary effect on asymptotic behavior of solutions to the \(p\)-system with time-dependent damping ⋮ Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping ⋮ Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping ⋮ Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis ⋮ \(L^2\)-convergence to nonlinear diffusion waves for Euler equations with time-dependent damping ⋮ Darcy's law as long-time limit of adiabatic porous media flow ⋮ Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect ⋮ Time decay of solutions to the compressible Euler equations with damping ⋮ Convergence rates to the damped system of compressible adiabatic flow through porous media with boundary effect ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model
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