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• W2983225573 abstract "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.
• W2983225573 created "2019-11-22" @default.
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• W2983225573 date "2019-11-08" @default.
• W2983225573 modified "2023-10-18" @default.
• W2983225573 title "The Burgers’ equation with stochastic transport: shock formation, local and global existence of smooth solutions" @default.
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• W2983225573 doi "https://doi.org/10.1007/s00030-019-0602-6" @default.
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