Decay of the 3D quasilinear hyperbolic equations with nonlinear damping

DOI10.1155/2017/2708483zbMath1418.35039OpenAlexW2620463931WikidataQ59142340 ScholiaQ59142340MaRDI QIDQ1798365

Hongjun Qiu, Ying-Hui Zhang

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2708483

zbMATH Keywords

\(L^p - L^2\) decay ratespropagation of heat wavevery low temperature

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) Strong solutions to PDEs (35D35)

Related Items

High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ Time decay of solutions for compressible isentropic non-Newtonian fluids ⋮ The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping ⋮ A spatio-temporal fully meshless method for hyperbolic PDEs ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain ⋮ Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decay of the 3D inviscid liquid-gas two-phase flow model
• The 3D non-isentropic compressible Euler equations with damping in a bounded domain
• Convergence rates to nonlinear diffusion waves for weak entropy solutions to \(p\)-system with damping
• Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\)
• The one-dimensional Darcy's law as the limit of a compressible Euler flow
• Existence and asymptotic behavior of global smooth solution for \(p\)-system with damping and boundary effect
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping
• Best asymptotic profile for linear damped \(p\)-system with boundary effect
• Convergence rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping on quadrant
• Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping
• Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Boundary effects and large time behavior for the system of compressible adiabatic flow through porous media
• Convergence rate for compressible Euler equations with damping and vacuum
• Hyperbolic to parabolic relaxation theory for quasilinear first order systems
• Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
• Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping
• Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
• Compressible flow with damping and vacuum
• Global solution and large-time behavior of the \(3D\) compressible Euler equations with damping
• Initial boundary value problem for the system of compressible adiabatic flow through porous media
• Global existence and optimal convergence rates for the strong solutions in \(H^2\) to the 3D viscous liquid-gas two-phase flow model
• \(L^{p}\)-convergence rates to nonlinear diffusion waves for quasilinear equations with nonlinear damping
• 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
• Global existence and large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb R^3\)
• Global existence and asymptotic behavior for the 3D compressible non-isentropic Euler equations with damping
• Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
• On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media
• 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
• On the influence of damping in hyperbolic equations with parabolic degeneracy
• Phase Transitions and Change of Type in Low-Temperature Heat Propagation
• Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping
• Asymptotic behavior of solutions to quasilinear hyperbolic equations with nonlinear damping
• Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
• On second sound at the critical temperature
• Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
• Global Existence of Solutions for the System of Compressible Adiabatic Flow through Porous Media
• Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions
• Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping