Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case

Author:

Lions Pierre-Louis,Perthame Benoît,Souganidis Panagiotis E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Reference30 articles.

1. Berthelin, F., Vovelle, J.: Stochastic isentropic Euler equations (preprint, 2014)

2. Chen, G.-Q., Ding, Q., Karlsen, K.H.: On nonlinear stochastic balance laws. Arch. Ration. Mech. Anal. 204(3), 707–743 (2012)

3. Dafermos, C.M.: Hyperbolic Conservation Laws in Continuum Physics, Volume 325 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 3rd edn. Springer-Verlag, Berlin (2010)

4. Dalibard, A.-L.: Kinetic formulation for a parabolic conservation law. Application to homogenization. SIAM J. Math. Anal. 39(3), 891–915 (2007)

5. Debussche, A., Vovelle, J.: Invariant measure of scalar first-order conservation laws with stochastic forcing. arXiv:1310.3779v1 (preprint, 2013)

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