Quantitative Compactness Estimates for Stochastic Conservation Laws
摘要
We present a quantitative compensated compactness estimate for stochastic conservation laws, which generalises a previous result of Golse and Perthame (2013) for deterministic equations. With a stochastic modification of Kružkov’s interpolation lemma, this estimate provides bounds on the rate at which a sequence of vanishing viscosity solutions becomes compact.