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A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy. (English) Zbl 1282.35232

Summary: We consider a system of nonlinear viscoelastic wave equations. Under arbitrary positive initial energy and standard conditions on the relaxation functions, we prove a finite-time blow-up result.

MSC:

35L53 Initial-boundary value problems for second-order hyperbolic systems
35R09 Integro-partial differential equations
35B40 Asymptotic behavior of solutions to PDEs
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