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

By B. Said-Houari. Differential and Integral Equations, 2010

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This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting in both equations. We will prove that the solution of our considered system blows up in finite time provided that the initial data are large enough. This result extends a previous result in [1] to a large class of initial data. The key ingredient in the proof is a method used in [25] with necessary modifications imposed by the nature of our problem.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e94b000d0ea20a3420f24f48db6abc2cbc02ec1a

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In Applied Mathematics

In Control and Systems Engineering

In Mathematical Physics

Citations in the corpus

General decay of solutions of a nonlinear system of viscoelastic wave equations (2011, background): “69, 2589–2598 (2008) [19] Messaoudi, S.A., Said-Houari, B.: Uniform decay in a Timoshenko-type system with past history.”