Lorentz spaces in action on pressureless systems arising from models of collective behavior

DOI10.1007/s00028-021-00668-4OpenAlexW3137240029MaRDI QIDQ2062837

Raphaël Danchin, Patrick Tolksdorf, Piotr Bogusław Mucha

Publication date: 3 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05603

zbMATH Keywords

Besov spaceLorentz spacescollective behaviorparabolic systempressureless systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic systems (35K45) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Applications of functional analysis to differential and integral equations (46N20) Animal behavior (92D50) Second-order parabolic systems (35K40) Vlasov equations (35Q83) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Reacting multi-component fluids: regular solutions in Lorentz spaces ⋮ Global unique solutions for the inhomogeneous Navier-Stokes equations with only bounded density, in critical regularity spaces ⋮ Global solutions for two-dimensional viscous pressureless flows with large variations of density ⋮ Gaussian bounds of fundamental matrix and maximal \(L^1\) regularity for Lamé system with rough coefficients

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