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• W2045622430 abstract "In this paper, we are concerned with a model arising from biology, which is a coupled hyperbolic-parabolic system. Firstly, we prove global existence of smooth solutions to the Cauchy problem without any smallness assumption on the initial data. Secondly, we prove both global existence and asymptotic behavior of smooth solutions, provided the initial data are of small H1-norm energy but possibly large Hs-norm energy. Finally, if the Hs∩L1-norm of initial data are sufficiently small, we also establish decay rates of the global smooth solutions. These results are obtained by constructing a new nonnegative convex entropy and combining spectral analysis with energy methods." @default.
• W2045622430 created "2016-06-24" @default.
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• W2045622430 date "2013-02-01" @default.
• W2045622430 modified "2023-10-16" @default.
• W2045622430 title "Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system" @default.
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• W2045622430 doi "https://doi.org/10.1016/j.nonrwa.2012.07.009" @default.
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