Stochastic Lagrangian perturbation of Lie transport and applications to fluids

DOI10.1016/j.na.2023.113249zbMath1518.35541OpenAlexW4323306197MaRDI QIDQ6155679

Nicolas Besse

Publication date: 5 June 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2023.113249

zbMATH Keywords

incompressible Navier-Stokes equationsRiemannian manifoldStratonovich stochastic differential equationLie derivativelocal and global well-posednessLie transportnon-ideal incompressible extended MHD equationsstatistical Cauchy invariants equationstochastic Lagrangian formulation of dissipative PDEs

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) White noise theory (60H40) Applications of Lie (super)algebras to physics, etc. (17B81) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

Related Items (1)

Euler-Lagrangian approach to stochastic Euler equations in Sobolev spaces

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