We discuss well-posedness of the transport equation obtained by adding a multiplicative noise following the paper [Flandoli-Gubinelli-Priola, Inv. 2010]. We show that such phenomenon of regularization by noise does not happen if one considers a Burgers equation even in one dimension.

Does noise improve well-posedness of fluid dynamic equations?

PRIOLA, Enrico
2010-01-01

Abstract

We discuss well-posedness of the transport equation obtained by adding a multiplicative noise following the paper [Flandoli-Gubinelli-Priola, Inv. 2010]. We show that such phenomenon of regularization by noise does not happen if one considers a Burgers equation even in one dimension.
2010
Stochastic Partial Differential Equations and Applications (VIII)
Levico di Trento (TN)
January 2008
Stochastic Partial Differential Equations and Applications
Aracne Editrice
25
139
155
9788854843912
http://www.dimat.unina2.it/quaderni/quaderni.htm
stochastic transport equation; well-posedness; Burgers equation
F. Flandoli; M. Gubinelli; E. Priola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/104444
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