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Volume 21, Issue 1
Hyperbolic-parabolic Chemotaxis System with Nonlinear Product Terms

Hua Chen & Shaohua Wu

J. Part. Diff. Eq., 21 (2008), pp. 45-58.

Published online: 2008-02

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  • Abstract

We prove the local existence and uniqueness of week solution of the hyperbolic-parabolic Chemotaxis system with some nonlinear product terms. For one dimensional case, we prove also the global existence and uniqueness of the solution for the problem.

  • Keywords

Hyperbolic-parabolic system Chemotaxis external signal

  • AMS Subject Headings

35K50 35M10 35R25 92C45.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-21-45, author = {Hua Chen and Shaohua Wu }, title = {Hyperbolic-parabolic Chemotaxis System with Nonlinear Product Terms}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {1}, pages = {45--58}, abstract = {

We prove the local existence and uniqueness of week solution of the hyperbolic-parabolic Chemotaxis system with some nonlinear product terms. For one dimensional case, we prove also the global existence and uniqueness of the solution for the problem.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5268.html} }
TY - JOUR T1 - Hyperbolic-parabolic Chemotaxis System with Nonlinear Product Terms AU - Hua Chen & Shaohua Wu JO - Journal of Partial Differential Equations VL - 1 SP - 45 EP - 58 PY - 2008 DA - 2008/02 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5268.html KW - Hyperbolic-parabolic system KW - Chemotaxis KW - external signal AB -

We prove the local existence and uniqueness of week solution of the hyperbolic-parabolic Chemotaxis system with some nonlinear product terms. For one dimensional case, we prove also the global existence and uniqueness of the solution for the problem.

Hua Chen and Shaohua Wu . (2008). Hyperbolic-parabolic Chemotaxis System with Nonlinear Product Terms. Journal of Partial Differential Equations. 21 (1). 45-58. doi:
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