Acta mathematica scientia, Series B >
SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN
Received date: 2015-06-25
Revised date: 2015-10-12
Online published: 2016-10-25
Supported by
Supported by the National Natural Science Foundation of China (11131005) and the Fundamental Research Funds for the Central Universities (2014201020202).
In this paper, we use contraction mapping principle, operator-theoretic approach and some uniform estimates to establish local solvability of the parabolic-hyperbolic type chemotaxis system with fixed boundary in 1-dimensional domain. In addition, local solvability of the free boundary problem is considered by straightening the free boundary.
Hua CHEN, Wenbin LÜ, Shaohua WU . SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1285 -1304 . DOI: S0252-9602(16)30069-8
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