Existence of Weak Solutions in Wasserstein Space for a Chemotaxis Model Coupled to Fluid Equations

DOI10.1137/16M1083232zbMath1377.35147OpenAlexW2743263356MaRDI QIDQ4975436

Hwa Kil Kim, Kyungkeun Kang

Publication date: 7 August 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1083232

zbMATH Keywords

Navier-Stokes equationschemotaxissplitting methodWasserstein spaceFokker-Plank equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Fokker-Planck equations (35Q84)

Related Items

Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows ⋮ Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes ⋮ Existence of weak solutions for porous medium equation with a divergence type of drift term in a bounded domain ⋮ Existence of weak solutions for porous medium equation with a divergence type of drift term ⋮ Global solvability to a 3D chemotaxis-fluid model with matrix-valued supercritical sensitivities

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