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- W2362316039 abstract "The authors investigate the initial-boundary value problem for a coupled hyperbolic-parabolic system arising from biology.When the kinetic function is nonlinear and the initial data are of small L~2-norm energy but possibly large H~2-norm energy,the authors get both the global existence and the exponential stability of smooth solutions to the initial-boundary value problem.Furthermore,assuming that the nonlinear kinetic function satisfies certain conditions,the authors establish the global existence of smooth solutions without any smallness assumption on the initial data.The proof is obtained by constructing a new nonnegative convex entropy and making delicate energy estimates." @default.
- W2362316039 created "2016-06-24" @default.
- W2362316039 creator A5014863753 @default.
- W2362316039 date "2013-01-01" @default.
- W2362316039 modified "2023-09-23" @default.
- W2362316039 title "Global Smooth Solutions to a Coupled Hyperbolic-Parabolic System" @default.
- W2362316039 hasPublicationYear "2013" @default.
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