Well-posedness by noise for scalar conservation laws

Benjamin Gess, Mario Maurelli

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We consider stochastic scalar conservation laws with spatially inhomogeneous flux. The regularity of the flux function with respect to its spatial variable is assumed to be low, so that entropy solutions are not necessarily unique in the corresponding deterministic scalar conservation law. We prove that perturbing the system by noise leads to well-posedness.
Original languageEnglish
Pages (from-to)1702-1736
Number of pages33
JournalCommunications in partial differential equations
Volume43
Issue number12
DOIs
Publication statusPublished - 22 Mar 2019

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