Flows of vector fields with point singularities and the vortex-wave system-Reference-Cited by-同舟云学术

Flows of vector fields with point singularities and the vortex-wave system

Published:2015-10 Issue:5 Volume:36 Page:2405-2417
ISSN:1078-0947
Container-title:Discrete and Continuous Dynamical Systems
language:en
Short-container-title:DCDS-A

Author:

Crippa Gianluca,Filho Milton C. Lopes,Miot Evelyne,Lopes Helena J. Nussenzveig

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference19 articles.

1. Transport equation and Cauchy problem for BV vector fields,;L. Ambrosio;Invent. Math.,2004

2. Transport equation and Cauchy problem for non-smooth vector fields,;L. Ambrosio;in Calculus of Variations and Nonlinear Partial Differential Equations,1927

3. Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields,;L. Ambrosio;in Transport Equations and Multi-D Hyperbolic Conservation Laws,2008

4. Continuity equations and ODE flows with non-smooth velocity,;L. Ambrosio;Proceedings of the Royal Society of Edinburgh: Section A Mathematics,2014

5. Lagrangian flows for vector fields with gradient given by a singular integral,;F. Bouchut;J. Hyper. Differential Equations,2013

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2. On some coupled PDE-ODE systems in fluid dynamics;Journées équations aux dérivées partielles;2019-06-19
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5. The Inviscid Limit of Navier--Stokes Equations for Vortex-Wave Data on $\mathbb R^2$;SIAM Journal on Mathematical Analysis;2019-01