Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping

DOI10.1017/S0308210515000219zbMath1342.35170OpenAlexW2606083924MaRDI QIDQ3456292

Shi-feng Geng, Li-Na Zhang

Publication date: 11 December 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210515000219

zbMATH Keywords

convergence ratesone space dimensionnonlinear diffusion waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (6)

Long-time behavior of solutions to the \(M_1\) model with boundary effect ⋮ The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Decay of the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Optimal decay rates of solutions to hyperbolic conservation laws with damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model

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