Solution properties of the incompressible Euler system with rough path advection
DOI10.1016/j.jfa.2022.109632zbMath1496.35295arXiv2104.14933OpenAlexW3157146567MaRDI QIDQ2165535
James-Michael Leahy, Torstein Nilssen, Darryl D. Holm, Dan Crisan
Publication date: 20 August 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.14933
Fractional processes, including fractional Brownian motion (60G22) Smoothness and regularity of solutions to PDEs (35B65) Brownian motion (60J65) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Rough paths (60L20) Rough partial differential equations (60L50)
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