Linear transport equations with non Lipschitz continuous drift may have non uniqueness of weak solutions. We identify a class of drift where this happens for some examples but, at the same time, uniqueness holds true when a suitable random perturbation is added to the equation.
Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise
ATTANASIO, STEFANO;Flandoli, F.
2011
Abstract
Linear transport equations with non Lipschitz continuous drift may have non uniqueness of weak solutions. We identify a class of drift where this happens for some examples but, at the same time, uniqueness holds true when a suitable random perturbation is added to the equation.File in questo prodotto:
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