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Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows - MaRDI portal

Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows (Q2150916)

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Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows
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    Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows (English)
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    30 June 2022
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    The authors construct weak solutions of the Keller-Segel-Navier-Stokes system in two- and three-dimensional cases using optimal transportation techniques in the Wasserstein space. They are able to consider less regular initial data than in previous constructions applying a refinement of results on the Fokker-Plack equation.
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    Keller-Segel equations
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    Navier-Stokes equations
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    weak solutions
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    Wasserstein space
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