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Pré-Publication, Document De Travail Année : 2014

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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Dates et versions

hal-01089375 , version 1 (01-12-2014)
hal-01089375 , version 2 (23-03-2016)

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Michèle Grillot, Philippe Grillot, Simona Mancini. Existence of solutions of a parabolic system modeling particles dynamics with aggregation effects. 2014. ⟨hal-01089375v1⟩
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