In this work we studied a system of two partial differential type modeling the motion of some bacteria, which use an Actin-based propulsion mechanism. The resulting system is composed by two equation (a porous-media equation and a linear hyperbolic one) coupled with two moving boundaries. We proved the local (in time) well posedness for the Cauchy problem.
An analytical study of a model for the actin-based movement of bacteria / Melillo, Stefania; Montefusco, Eugenio. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - 32:VII(2012), pp. 75-116.
An analytical study of a model for the actin-based movement of bacteria
MELILLO, STEFANIA;MONTEFUSCO, Eugenio
2012
Abstract
In this work we studied a system of two partial differential type modeling the motion of some bacteria, which use an Actin-based propulsion mechanism. The resulting system is composed by two equation (a porous-media equation and a linear hyperbolic one) coupled with two moving boundaries. We proved the local (in time) well posedness for the Cauchy problem.File allegati a questo prodotto
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