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A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
Authors:Tobias Black  Johannes Lankeit  Masaaki Mizukami
Abstract:In bounded smooth domains urn:x-wiley:mma:media:mma5561:mma5561-math-0001, N ∈ {2,3}, we consider the Keller‐Segel‐Stokes system urn:x-wiley:mma:media:mma5561:mma5561-math-0002 and prove global existence of generalized solutions if urn:x-wiley:mma:media:mma5561:mma5561-math-0003 These solutions are such that blow‐up into a persistent Dirac‐type singularity is excluded.
Keywords:chemotaxis‐fluid  global existence  Keller‐Segel system  singular sensitivity  Stokes equation
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