Sobolev regular flows of non-Lipschitz vector fields

DOI10.1016/j.jde.2018.10.002zbMath1406.37023OpenAlexW2896355056WikidataQ129113697 ScholiaQ129113697MaRDI QIDQ1720277

Albert Clop, Heikki Jylhä

Publication date: 8 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.002

zbMATH Keywords

Riesz potentialYudovich solutionsexponentially integrable derivativesplanar Euler system

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Dynamics induced by flows and semiflows (37C10) Viscous vortex flows (76D17) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items (5)

Pointwise descriptions of nearly incompressible vector fields with bounded curl ⋮ Rotation bounds for Hölder continuous homeomorphisms with integrable distortion ⋮ Nonlinear transport equations and quasiconformal maps ⋮ Classical flows of vector fields with exponential or sub-exponential summability ⋮ Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts

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