On a class of stochastic transport equations for $L^2_loc$ vector fields

DOI10.2422/2036-2145.201512_008zbMath1391.60157arXiv1410.6631OpenAlexW2962802202MaRDI QIDQ4571185

Christian Olivera, Ennio Fedrizzi, Wladimir Neves

Publication date: 6 July 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6631

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for linear first-order PDEs (35F10)

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Stochastic transport equations with unbounded divergence ⋮ Global existence, blow-up and stability for a stochastic transport equation with non-local velocity ⋮ On a stochastic Camassa-Holm type equation with higher order nonlinearities ⋮ \(W^{1,p}\)-solutions of the transport equation by stochastic perturbation ⋮ First-order linear Marcus SPDEs ⋮ Well-posedness of the non-local conservation law by stochastic perturbation ⋮ On flows generated by vector fields with compact support ⋮ Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness ⋮ Initial-boundary value problem for stochastic transport equations

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