Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization

DOI10.1007/s00205-016-1006-yzbMath1359.35145arXiv1408.2932OpenAlexW2407534575MaRDI QIDQ338082

Mohammad Hasan, M. Dambrine

Publication date: 4 November 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2932

zbMATH Keywords

characterizationrenormalizationchain rulenearly incompressible vector field

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) PDEs with measure (35R06)

Related Items (10)

Differentiability properties of the flow of 2d autonomous vector fields ⋮ Renormalization for Autonomous Nearly Incompressible BV Vector Fields in Two Dimensions ⋮ Lagrangian representations for linear and nonlinear transport ⋮ On exterior differential systems involving differentials of Hölder functions ⋮ On the Extreme Points of the Unit Ball in the Space of Solenoidal Vector Measures on the Plane ⋮ Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications ⋮ On the failure of the chain rule for the divergence of Sobolev vector fields ⋮ A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\) ⋮ On the structure of divergence-free measures on \(\mathbb{R}^2\) ⋮ Differentiability in measure of the flow associated with a nearly incompressible BV vector field

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