Regularity estimates for the flow of BV autonomous divergence-free vector fields in R2

DOI10.1080/03605302.2021.1931883zbMath1484.37076arXiv1910.03277OpenAlexW3172283233MaRDI QIDQ5012789

Paolo Bonicatto, Elio Marconi

Publication date: 25 November 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03277

zbMATH Keywords

mixingregular Lagrangian flowBV vector fieldLusin-Lipschitz regularity

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Initial value problems for first-order hyperbolic systems (35L45) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (4)

Differentiability properties of the flow of 2d autonomous vector fields ⋮ Properties of mixing BV vector fields ⋮ Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension ⋮ Differentiability in measure of the flow associated with a nearly incompressible BV vector field

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