Qualitative Analysis of semilinear Cattaneo Equations
نویسنده
چکیده
The linear Cattaneo equation appears in heat transport theory to describe heat wave propagation with nite speed. It also can be seen as a generalization of a correlated random walk. If the system admits non conservative forces (or reactions) then a nonlinear Cattaneo system is obtained. Here we consider asymptotic behavior of solutions of the nonlinear Cattaneo system. Following Brayton and Miranker we deene a Lyapunov function to show global existence of solutions and to show that each !{limit set is contained in the set of all stationary solutions.
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