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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Well-posedness of the vector advection equations by stochastic perturbation

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Author(s):
Flandoli, Franco [1] ; Olivera, Christian [2]
Total Authors: 2
Affiliation:
[1] Univ Pisa, Dipartimento Matemat, Pisa - Italy
[2] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF EVOLUTION EQUATIONS; v. 18, n. 2, p. 277-301, JUN 2018.
Web of Science Citations: 1
Abstract

A linear stochastic vector advection equation is considered. The equation may model a passive magnetic field in a random fluid. The driving velocity field is a integrable to a certain power, and the noise is infinite dimensional. We prove that, thanks to the noise, the equation is well posed in a suitable sense, opposite to what may happen without noise. (AU)

FAPESP's process: 15/04723-2 - Topics in stochastic partial diferential equations
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants