PDE models for chemotaxis and hydrodynamics in supercritical function spaces

DOI10.4171/172zbMath1372.35005OpenAlexW2590604690MaRDI QIDQ518689

Hans Triebel

Publication date: 30 March 2017

Published in: EMS Series of Lectures in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/172

zbMATH Keywords

Keller-Segel modelspaces of Besov-Sobolev-Lizorkin-Triebel type

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Function spaces arising in harmonic analysis (42B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ Well-posedness of the Keller-Segel system in Fourier-Besov-Morrey spaces ⋮ On the Cauchy problem for a generalized nonlinear heat equation ⋮ Chemotaxis systems in complex frameworks: Pattern formation, qualitative analysis and blowup prevention ⋮ Tempered homogeneous function spaces, II ⋮ On function spaces of Lorentz-Sobolev type ⋮ Turing patterns, Lengyel–Epstein systems and Faber splines ⋮ On the existence and uniqueness of mild and strong solutions of a generalized nonlinear heat equation ⋮ On the Cauchy problem for hyperdissipative Navier-Stokes equations in super-critical Besov and Triebel-Lizorkin spaces

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