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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
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