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The 3D Euler equations, precisely local smooth solutions of class $$H^s$$Hs with $$s>5/2$$s>5/2 are obtained as a mean field limit of finite families of interacting curves, the so called vortex… Click to show full abstract
The 3D Euler equations, precisely local smooth solutions of class $$H^s$$Hs with $$s>5/2$$s>5/2 are obtained as a mean field limit of finite families of interacting curves, the so called vortex filaments, described by means of the concept of 1-currents. This work is a continuation of a previous paper, where a preliminary result in this direction was obtained, with the true Euler equations replaced by a vector valued non linear PDE with a mollified Biot–Savart relation.
Keywords:
euler equations;
mean field;
limit interacting;
field limit
Journal Title: Journal of Statistical Physics
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Statistical Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!