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GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND |
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| Authors: | Yuming QIN Haiyan LI |
| Institution: | [1]Department of Applied Mathematics, Donghua University, Shanghai 201620, China [2]College of Information Science and Technology, Donghua University, Shanghai 201620, China |
| Abstract: | This article is devoted to the study of global existence and exponential stability of solutions to an initial-boundary value problem of the quasilinear thermo-diffusion equations with second sound by means of multiplicative techniques and energy method provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially. |
| Keywords: | Thermo-diffusion equations global existence exponential stability second sound multiplicative techniques |
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