Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations

DOI10.1016/j.jde.2010.09.002zbMath1375.35589arXiv1009.1263OpenAlexW2068701402MaRDI QIDQ618277

H. A. Erbay, Nilay Duruk Mutlubas, Albert Kohen Erkip

Publication date: 14 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1263

zbMATH Keywords

Boussinesq equationblow-upglobal existencenonlocal elasticitynonlocal Cauchy problem

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Existence of solutions of dynamical problems in solid mechanics (74H20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (8)

Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations ⋮ Nonlinear wave modulation in nanorods using nonlocal elasticity theory ⋮ On a class of nonlocal wave equations from applications ⋮ Existence and stability of traveling waves for a class of nonlocal nonlinear equations ⋮ Exact controllability for nonlocal and nonlinear hyperbolic PDEs ⋮ Nonexistence of global solutions for a class of nonlocal in time and space nonlinear evolution equations ⋮ The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model ⋮ On the convergence of the nonlocal nonlinear model to the classical elasticity equation

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