Stochastic quasilinear viscoelastic wave equation with degenerate damping and source terms

DOI10.1016/j.camwa.2018.03.008zbMath1420.35399OpenAlexW2794655348MaRDI QIDQ2001280

Sangil Kim, Yong Han Kang, Jong Yeoul Park

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.008

zbMATH Keywords

blow-upglobal existencestochastic quasilinear wave equation

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)

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Global existence of solutions for a coupled viscoelastic plate equation with degenerate damping terms, Unnamed Item, Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms

Cites Work

• Global nonexistence of positive initial energy solutions for a viscoelastic wave equation
• A blow-up result in a Cauchy viscoelastic problem
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• STOCHASTIC WAVE EQUATIONS WITH NONLINEAR DAMPING AND SOURCE TERMS
• Global existence and blow‐up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source
• Ergodicity for Infinite Dimensional Systems