On a 2D stochastic Euler equation of transport type: Existence and geometric formulation

DOI10.1142/S0219493714500129zbMath1323.60083arXiv1305.7086OpenAlexW2963092424MaRDI QIDQ5496369

Ana Bela Cruzeiro, Iván Torrecilla

Publication date: 30 January 2015

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7086

zbMATH Keywords

weak solutionsstochastic Navier-Stokes equationstochastic Euler equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

Stochastic Euler equations of fluid dynamics with Lévy noise ⋮ From additive to transport noise in 2D fluid dynamics

Cites Work

• Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation
• Stochastic two dimensional Euler equations
• Navier-Stokes equation and diffusions on the group of homeomorphisms of the torus
• Global \(L_2\)-solutions of stochastic Navier-Stokes equations
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• On Strong $H_{2}^{1}$-Solutions of Stochastic Navier–Stokes Equation in a Bounded Domain

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