A linear stochastic vector advection equation is considered; the equation may model a passive magnetic field in a random fluid. When the driving velocity field is rough but deterministic, in particular just Holder continuous and bounded, one can construct examples of infinite stretching of the passive field, arising from smooth initial conditions. The purpose of the paper is to prove that infinite stretching is prevented if the driving velocity field contains in addition a white noise component.
Noise Prevents Infinite Stretching of the Passive Field in a Stochastic Vector Advection Equation / F. Flandoli, M. Maurelli, M. Neklyudov. - In: JOURNAL OF MATHEMATICAL FLUID MECHANICS. - ISSN 1422-6928. - 16:4(2014), pp. 805-822.
Titolo: | Noise Prevents Infinite Stretching of the Passive Field in a Stochastic Vector Advection Equation |
Autori: | |
Parole Chiave: | Stochastic vector advection equations; blow-up; regularization by noise; stochastic flows |
Settore Scientifico Disciplinare: | Settore MAT/06 - Probabilita' e Statistica Matematica Settore MAT/05 - Analisi Matematica |
Data di pubblicazione: | 2014 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00021-014-0187-0 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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