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Global existence of solutions to a hyperbolic-parabolic system |
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| Authors: | Mei Zhang Changjiang Zhu |
| Institution: | Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, People's Republic of China Changjiang Zhu ; Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, People's Republic of China |
| Abstract: | In this paper, we investigate the global existence of solutions to a hyperbolic-parabolic model of chemotaxis arising in the theory of reinforced random walks. To get  -estimates of solutions, we construct a nonnegative convex entropy of the corresponding hyperbolic system. The higher energy estimates are obtained by the energy method and a priori assumptions. |
| Keywords: | Hyperbolic-parabolic system {\it a priori} estimates entropy-entropy flux global existence |
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