TY - JOUR T1 - Hyperbolic-parabolic Chemotaxis System with Nonlinear Product Terms 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.