Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data

DOI10.1007/s00205-014-0796-zzbMath1347.35222arXiv1205.1551OpenAlexW2103475823MaRDI QIDQ481820

Jacob Bedrossian, Nader Masmoudi

Publication date: 15 December 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1551

zbMATH Keywords

diffusionchemotaxismild solutionexistence and uniquenessvorticity equationmeasure-valued initial data

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06)

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