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Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect

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  • A coupled system derived from Maxwell’s equations and the heat transfer equation is considered. For this system with perturbations a cocycle formulation is presented. Using Lyapunov functionals the global stability of the zero solution for the autonomous case is shown. In the case of almost periodic perturbations conditions for the existence of almost periodic solutions are derived.
    Mathematics Subject Classification: 35B15, 35K20, 35K15, 35L20, 80A20.

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