| Title: | A MEAN FIELD RESULT FOR 3D VORTEX FILAMENTS |
| DOI No: | 10.1142/9789812703989_0002 |
| Source: | PROBABILISTIC METHODS IN FLUIDS (pp 22-34)
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| Author(s): | H. BESSAIH
Dipartimento di matematica applicata U.Dini,
Via Bonanno 25/B 56126 Pisa Italy
F. FLANDOLI
Dipartimento di matematica applicata U.Dini,
Via Bonanno 25/B 56126 Pisa Italy
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| Abstract: | A mean field result is proved for an abstract model, under a class of
conditions on the rescaling of the energy. Propagation of chaos, variational
characterization of the limit Gibbs density h and an equation for
h are proved. The general results are applied to a model of 3D vortex
filaments described by stochastic processes, including Brownian motion and
Brownian Bridge, other semimartingales, and fractional Brownian Motion. |
| Full Text: | View full text in PDF format (417KB) |
| TOC: | Back to Table of Contents |
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