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Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas |
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| Authors: | Yuming Qin |
| Affiliation: | a Department of Mathematics, Henan University, Kaifeng 475001, PR China b National Laboratory for Scientific Computation (LNCC), Rua Getulio Vargas 333, Quitandinha 25651-070, Petropolis, RJ, Brazil |
| Abstract: | In this paper, we prove the existence and the exponential stability in H+i (i=1,2), an incomplete metric subspace of Hi×Hi×Hi (i=1,2), of a nonlinear C0-semigroup S(t) for a nonlinear one-dimensional heat-conductive viscous real gas in bounded domain Ω=(0,1). The results in this paper improve those previously related results. |
| Keywords: | Heat-conductive viscous real gas Generalized solutions C0-semigroup Exponential stability |
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