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- W4297974446 abstract "In this work, we examine the solution properties of the Burgers' equation with stochastic transport. First, we prove results on the formation of shocks in the stochastic equation and then obtain a stochastic Rankine-Hugoniot condition that the shocks satisfy. Next, we establish the local existence and uniqueness of smooth solutions in the inviscid case and construct a blow-up criterion. Finally, in the viscous case, we prove global existence and uniqueness of smooth solutions." @default.
- W4297974446 created "2022-10-01" @default.
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- W4297974446 date "2018-08-23" @default.
- W4297974446 modified "2023-10-18" @default.
- W4297974446 title "The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions" @default.
- W4297974446 doi "https://doi.org/10.48550/arxiv.1808.07821" @default.
- W4297974446 hasPublicationYear "2018" @default.
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