Global existence of solutions to a hyperbolic-parabolic system
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- by Mei Zhang and Changjiang Zhu PDF
- Proc. Amer. Math. Soc. 135 (2007), 1017-1027 Request permission
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 $L^2$-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.References
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Additional Information
- Mei Zhang
- Affiliation: Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, People’s Republic of China
- Changjiang Zhu
- Affiliation: Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, People’s Republic of China
- Email: cjzhu@mail.ccnu.edu.cn
- Received by editor(s): October 19, 2005
- Published electronically: September 18, 2006
- Communicated by: Walter Craig
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1017-1027
- MSC (2000): Primary 35K20, 35K55, 35L50
- DOI: https://doi.org/10.1090/S0002-9939-06-08773-9
- MathSciNet review: 2262902