We consider a simple example of linear transport equation without uniqueness, such that a random perturbation of it has uniqueness and identify the solutions of the deterministic problem which are limit of the unique solutions of the stochastic one when the noise tends to zero.
Zero-noise solutions of linear transport equations without uniqueness: an example
Attanasio, Stefano;Flandoli, Franco
2009
Abstract
We consider a simple example of linear transport equation without uniqueness, such that a random perturbation of it has uniqueness and identify the solutions of the deterministic problem which are limit of the unique solutions of the stochastic one when the noise tends to zero.File in questo prodotto:
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