Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping

DOI10.1007/s10255-015-0535-8zbMath1338.35046OpenAlexW2464053971MaRDI QIDQ272789

Shi-feng Geng, Zhen Wang

Publication date: 21 April 2016

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-015-0535-8

zbMATH Keywords

convergence ratesasymptotic behaviornonlinear dampingcorresponding parabolic equationquasilinear hyperbolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Related Items (3)

Optimal Decay Rates of Solutions to a Blood Flow Model ⋮ Optimal decay rates of solutions to hyperbolic conservation laws with damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model

Cites Work

• Unnamed Item
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• Nonlinear diffusive phenomena of nonlinear hyperbolic systems
• Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
• Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping. II
• Asymptotic behavior of solutions for \(p\)-system with relaxation
• Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• \(L ^{p}\)-convergence rate to diffusion waves for \(p\)-system with relaxation.
• \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
• On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media
• On the diffusion phenomenon of quasilinear hyperbolic waves
• Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping

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