Quantitative compactness estimates for stochastic conservation laws

Published 9 Jan 2023 in math.AP | (2301.03452v1)

Abstract: We present a quantitative compensated compactness estimate for stochastic conservation laws, which generalises a previous result of Golse & Perthame (2013) for deterministic equations. With a stochastic modification of Kruzkov's interpolation lemma, this estimate provides bounds on the rate at which a sequence of vanishing viscosity solutions becomes compact. This contribution is for the Proceedings of HYP2022.

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Kenneth H. Karlsen

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