×

zbMATH — the first resource for mathematics

The local and global existence of the solutions of hyperbolic-parabolic system modeling biological phenomena. (English) Zbl 1150.35016
Summary: The authors prove the local existence and uniqueness of a weak solution of a hyperbolic-parabolic system and establish the global existence of the weak solution for this system for the spatial dimension \(n=1\).

MSC:
35D05 Existence of generalized solutions of PDE (MSC2000)
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35M10 PDEs of mixed type
35L10 Second-order hyperbolic equations
92E20 Classical flows, reactions, etc. in chemistry
PDF BibTeX XML Cite
Full Text: DOI