Wiener chaos and uniqueness for stochastic transport equation
From MaRDI portal
Publication:550417
DOI10.1016/j.crma.2011.05.006zbMath1220.60037OpenAlexW2028089000MaRDI QIDQ550417
Publication date: 8 July 2011
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2434/642569
Related Items (11)
Stochastic transport equation with bounded and Dini continuous drift ⋮ Transport and continuity equations with (very) rough noise ⋮ Stochastic continuity equation with nonsmooth velocity ⋮ A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations ⋮ On the convergence of stochastic transport equations to a deterministic parabolic one ⋮ Noise prevents infinite stretching of the passive field in a stochastic vector advection equation ⋮ 2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction ⋮ Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness ⋮ The transport equation and zero quadratic variation processes ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ The density of the solution to the stochastic transport equation with fractional noise
Cites Work
- Transport equation and Cauchy problem for BV vector fields
- Well-posedness of the transport equation by stochastic perturbation
- Ordinary differential equations, transport theory and Sobolev spaces
- Dirichlet forms and analysis on Wiener space
- Nonuniqueness of bounded solutions for some BV outside a hyperplane vector field
- Strong solutions of stochastic equations with singular time dependent drift
- Integration of Brownian vector fields.
- Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise
- Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System
This page was built for publication: Wiener chaos and uniqueness for stochastic transport equation