Access the full text.
Sign up today, get DeepDyve free for 14 days.
Lisa Beck, F. Flandoli, M. Gubinelli, M. Maurelli (2014)
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniquenessElectronic Journal of Probability
(2016)
Possible effect of noise on stretching mechanism, in Recent Advances in Partial Differential Equations and Applications,V
E. Fedrizzi, W. Neves, C. Olivera (2014)
On a class of stochastic transport equations for L2loc vector fieldsarXiv: Probability
W. Neves, C. Olivera (2013)
Wellposedness for stochastic continuity equations with Ladyzhenskaya–Prodi–Serrin conditionNonlinear Differential Equations and Applications NoDEA, 22
F. Flandoli, M. Maurelli, M. Neklyudov (2014)
Noise Prevents Infinite Stretching of the Passive Field in a Stochastic Vector Advection EquationJournal of Mathematical Fluid Mechanics, 16
G. Falkovich, K. Gawȩdzki, M. Vergassola (2001)
Particles and fields in fluid turbulenceReviews of Modern Physics, 73
Z. Brzeźniak, M. Neklyudov (2007)
Duality, Vector advection and the Navier-Stokes equationsarXiv: Probability
D. Rodón (2006)
The Malliavin Calculus and Related Topics
Darryl Holm (2014)
Variational principles for stochastic fluid dynamicsProceedings. Mathematical, Physical, and Engineering Sciences / The Royal Society, 471
(1969)
Lions,Quelques methodes de resolution des problemes aux limites non lineaires
N. Krylov, M. Röckner (2005)
Strong solutions of stochastic equations with singular time dependent driftProbability Theory and Related Fields, 131
É. Pardoux (1975)
Équations aux dérivées partielles stochastiques non linéaires monotones : étude de solutions fortes de type Ito
E. Fedrizzi, F. Flandoli (2012)
Noise Prevents Singularities in Linear Transport EquationsJournal of Functional Analysis, 264
F. Flandoli, M. Gubinelli, E. Priola (2008)
Well-posedness of the transport equation by stochastic perturbationInventiones mathematicae, 180
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.
Journal of Evolution Equations – Springer Journals
Published: Jun 16, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.