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Global attractor for a nonlinear Timoshenko equation with source terms. (English) Zbl 1297.35047

Summary: We study weak solutions of the Timoshenko equation in a bounded domain. We consider a nonlinear dissipation and a nonlinear source term. We obtain boundedness of the solutions as well as their asymptotic behavior. In particular, the source term does not produce a blowup, and the global attractor is the set of all equilibria.

MSC:

35B41 Attractors
35L70 Second-order nonlinear hyperbolic equations
35B35 Stability in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35D30 Weak solutions to PDEs
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