Explosive solutions of stochastic viscoelastic wave equations with multiplicative noises

DOI10.1142/S0129055X15500221zbMath1333.60139OpenAlexW2212314556MaRDI QIDQ5744714

Xiuwu Liao, Fei Liang, Hai Zhu

Publication date: 19 February 2016

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

Full work available at URL: https://doi.org/10.1142/s0129055x15500221

zbMATH Keywords

energy inequalityexplosive solutionsstochastic viscoelastic wave equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44)

Cites Work

• Blow-up of solutions of a nonlinear viscoelastic wave equation
• A blow-up result in a Cauchy viscoelastic problem
• A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
• Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation
• EXPLOSIVE SOLUTIONS OF STOCHASTIC VISCOELASTIC WAVE EQUATIONS WITH DAMPING
• Global non-existence of solutions of a class of wave equations with non-linear damping and source terms