Isotropic stochastic flow of homeomorphisms on \(\mathbb R^d\) associated with the critical Sobolev exponent

DOI10.1016/j.spa.2007.10.001zbMath1149.76015OpenAlexW2085403681MaRDI QIDQ936400

De Jun Luo

Publication date: 13 August 2008

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2007.10.001

zbMATH Keywords

divergence-free vector fieldsstochastic transport equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items (2)

Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres ⋮ Quasi-invariance of Lebesgue measure under the homeomorphic flow generated by SDE with non-Lipschitz coefficient

Cites Work

• Unnamed Item
• Global flows for stochastic differential equations without global Lipschitz conditions
• Ordinary differential equations, transport theory and Sobolev spaces
• Isotropic stochastic flows
• Mécanique aléatoire
• Integration of Brownian vector fields.
• Homeomorphic flows for multi-dimensional SDEs with non-Lipschitz coefficients
• Isotropic stochastic flow of homeomorphisms on \(S^{d}\) for the critical Sobolev exponent
• Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
• Passive scalar equation in a turbulent incompressible Gaussian velocity field
• Flow of Homeomorphisms and Stochastic Transport Equations

This page was built for publication: Isotropic stochastic flow of homeomorphisms on \(\mathbb R^d\) associated with the critical Sobolev exponent