A coupled chemotaxis-fluid model: Global existence
نویسندگان
چکیده
منابع مشابه
A coupled chemotaxis-fluid model: Global existence
We consider a model arising from biology, consisting of chemotaxis equations coupled to viscous incompressible fluid equations through transport and external forcing. Global existence of solutions to the Cauchy problem is investigated under certain conditions. Precisely, for the chemotaxis–Navier–Stokes system in two space dimensions, we obtain global existence for large data. In three space di...
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Osaki and Yagi (2001) give a proof of global existence for the classical chemotaxis model in one space dimension with use of energy estimates. Here we present an alternative proof which uses the regularity properties of the heat-equation semigroup. With this method we can identify a large selection of admissible spaces, such that the chemotaxis model de nes a global semigroup on these spaces. W...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2011
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2011.04.005