Existence of solutions of a parabolic system modeling particles dynamics with aggregation effects
Résumé
In this paper, we are interested in a parabolic system resulting from a problem of cell adhesion in biology. The model describes a protein dynamics and is given by a system of degenerate reaction diffusion equations, only one equation contains a diffusion term. The unknown couple (u,v) represents the distribution law of the free and linked proteins. Under sufficient conditions, we prove the existence of solution (u,v) of this system.
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