Flows for non-smooth vector fields with subexponentially integrable divergence

DOI10.1016/j.jde.2016.03.037zbMath1346.35043arXiv1507.04016OpenAlexW2963019225MaRDI QIDQ281662

Joan Orobitg, Joan Mateu, Albert Clop, Ren Jin Jiang

Publication date: 11 May 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04016

zbMATH Keywords

transport equationnon-smooth flowSobolev vector fields

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear first-order PDEs (35F05) Initial value problems for linear first-order PDEs (35F10)

Related Items (7)

Well-posedness for the continuity equation for vector fields with suitable modulus of continuity ⋮ Nonlinear transport equations and quasiconformal maps ⋮ Classical flows of vector fields with exponential or sub-exponential summability ⋮ The regularity of the boundary of vortex patches for some nonlinear transport equations ⋮ A note on transport equation in quasiconformally invariant spaces ⋮ The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space ⋮ FLOW WITH DENSITY AND TRANSPORT EQUATION IN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear transport equations for vector fields with subexponentially integrable divergence
• Existence and uniqueness of maximal regular flows for non-smooth vector fields
• Equations différentielles ordinaires: Non explosion et mesures quasi- invariantes
• Transport equation and Cauchy problem for BV vector fields
• Ordinary differential equations, transport theory and Sobolev spaces
• On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions
• Uniqueness of continuous solutions for BV vector fields
• Flows associated with irregular \(\mathbb R^d\)-vector fields
• LAGRANGIAN FLOWS FOR VECTOR FIELDS WITH GRADIENT GIVEN BY A SINGULAR INTEGRAL
• Estimates and regularity results for the DiPerna-Lions flow
• On the small balls problem for equivalent Gaussian measures
• A few remarks on ordinary differential equations
• Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System
• Continuity equations and ODE flows with non-smooth velocity
• A Note on Two-Dimensional Transport with Bounded Divergence

This page was built for publication: Flows for non-smooth vector fields with subexponentially integrable divergence