\(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping

DOI10.1007/s11425-006-0721-5zbMath1113.35122OpenAlexW1930133655MaRDI QIDQ862719

Changjiang Zhu, Mi'na Jiang

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0721-5

zbMATH Keywords

convergence ratesenergy estimatessmall initial datanonlinear dampingnonlinear diffusion waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (29)

Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis ⋮ Optimal convergence rates to diffusion waves for solutions of \(p\)-system with damping on quadrant ⋮ Asymptotic stability of solutions to the Hamilton-Jacobi equation ⋮ Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant ⋮ Existence and asymptotic behavior of global smooth solution for \(p\)-system with damping and boundary effect ⋮ Convergence rates to nonlinear diffusive waves for solutions to nonlinear hyperbolic system ⋮ Large time behavior and pointwise estimates for compressible Euler equations with damping ⋮ Long-time behavior of solutions to the \(M_1\) model with boundary effect ⋮ Convergence to nonlinear diffusion waves for solutions of hyperbolic-parabolic chemotaxis system ⋮ Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws ⋮ Large time behavior of a hyperbolic-parabolic model of vasculogenesis ⋮ Stability of planar diffusion wave for nonlinear evolution equation ⋮ Asymptotic behavior of the 3D compressible Euler equations with nonlinear damping and slip boundary condition ⋮ Large-time behavior of solutions for the system of compressible adiabatic flow through porous media with nonlinear damping ⋮ Asymptotic stability of diffusion wave for a semilinear wave equation with damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping ⋮ The 3D non-isentropic compressible Euler equations with damping in a bounded domain ⋮ Best asymptotic profile for linear damped \(p\)-system with boundary effect ⋮ Decay of the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ 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 ⋮ Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping ⋮ Optimal decay rates of solutions to hyperbolic conservation laws with damping ⋮ Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis ⋮ Stability of rarefaction wave for viscous vasculogenesis model ⋮ Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect ⋮ \(L^{p}\)-convergence rates to nonlinear diffusion waves for quasilinear equations with nonlinear damping ⋮ Stability of planar diffusion wave for the quasilinear wave equation with nonlinear damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model

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