Stochastic regularization for transport equations

DOI10.1007/s40072-020-00171-wzbMath1477.60103OpenAlexW3023023447MaRDI QIDQ2045408

Guangying Lv, Jin-qiao Duan, Jin-Long Wei, Hong-Jun Gao

Publication date: 12 August 2021

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40072-020-00171-w

zbMATH Keywords

existencenonexistenceuniquenessstochastic transport equationsstochastic strong solution

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) First-order hyperbolic equations (35L02)

Related Items (7)

Stochastic transport equation with bounded and Dini continuous drift ⋮ The probability of events for stochastic parabolic equations ⋮ Stochastic transport equations with unbounded divergence ⋮ Stochastic differential equations with critically irregular drift coefficients ⋮ Transport equation driven by a stochastic measure ⋮ The impact of noise on Burgers equations ⋮ Strong solutions of stochastic differential equations with square integrable drift

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