Uniqueness for the Vortex-Wave System When the Vorticity Is Constant Near the Point Vortex
Copyright policy ) Lacave, Christophe; Miot, Evelyne;
Uniqueness for the Vortex-Wave System When the Vorticity Is Constant Near the Point Vortex
We prove uniqueness for the vortex-wave system with a single point vortex introduced by Marchioro and Pulvirenti in the case where the vorticity is initially constant near the point vortex. Our method relies on the Eulerian approach for this problem and in particular on the formulation in terms of the velocity.
France
- Jean Monnet University France
- Université Paris Cité France
- French National Centre for Scientific Research France
- Sorbonne Université France
- UNIVERSITE JEAN MONNET SAINT-ETIENNE France
Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 510, Analysis of PDEs (math.AP)
Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 510, Analysis of PDEs (math.AP)
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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