@Article{JPDE-24-1, author = {Shaohua Wu and Hua Chen}, title = {Nonlinear Hyperbolic-parabolic System Modeling Some Biological Phenomena}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {1}, pages = {1--14}, abstract = {
In this paper, we study a nonlinear hyperbolic-parabolic system modeling some biological phenomena. By semigroup theory and Leray-Schauder fixed point argument, the local existence and uniqueness of the weak solutions for this system are proved. For the spatial dimension N=1, the global existence of the weak solution will be established by the bootstrap argument.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/5194.html} }