The initial boundary value problem for quasi-linear wave equation with viscous damping

DOI10.1016/j.jmaa.2006.08.085zbMath1113.35129OpenAlexW2010484982MaRDI QIDQ878453

Guowang Chen, Shubin Wang, Hongyun Yue

Publication date: 26 April 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.085

zbMATH Keywords

initial boundary value problemlocal solutionblow-up of solutionquasi-linear wave equation with viscous damping

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (1)

Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms

Cites Work

• Some remarks on the equation \(y_{tt}-\sigma (y_x)y_{xx}-y_{x^tx}=f\)
• Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
• Global existence and exponential stability of small solutions to nonlinear viscoelasticity
• Global existence of solutions for quasi-linear wave equations with viscous damping.
• Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
• Existence Theorems for a Quasilinear Evolution Equation
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
• Unnamed Item

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