Stochastic Lagrangian path for Leray's solutions of 3D Navier-Stokes equations
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Publication:2223731
DOI10.1007/s00220-020-03888-wzbMath1475.60129arXiv1904.04387OpenAlexW2938709832MaRDI QIDQ2223731
Publication date: 1 February 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.04387
Applications of stochastic analysis (to PDEs, etc.) (60H30) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (10)
Some properties of solutions of Itô equations with drift in \(L_{d+1}\) ⋮ SDEs with random and irregular coefficients ⋮ On diffusion processes with drift in \(L_{d+1}\) ⋮ Weak solutions of McKean-Vlasov SDEs with supercritical drifts ⋮ Cauchy problem of stochastic kinetic equations ⋮ Convergence rate of the Euler-Maruyama scheme applied to diffusion processes with \(L^q - L^{\rho}\) drift coefficient and additive noise ⋮ On potentials of Itô's processes with drift in \(L_{d+1}\) ⋮ Sharp solvability for singular SDEs ⋮ Regularity properties of jump diffusions with irregular coefficients ⋮ SDEs with critical time dependent drifts: weak solutions
Cites Work
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- Stochastic differential equations with Sobolev diffusion and singular drift and applications
- Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
- Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
- Well-posedness of the transport equation by stochastic perturbation
- Stochastic flows of SDEs with irregular coefficients and stochastic transport equations
- Theory of function spaces II
- Compact sets in the space \(L^ p(0,T;B)\)
- Brownian motion with singular drift
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Singular Brownian diffusion processes
- Strong solutions of stochastic equations with singular time dependent drift
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients
- Noise prevents singularities in linear transport equations
- Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness
- Brownian motion with general drift
- The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients
- The Three-Dimensional Navier–Stokes Equations
- On the Strong Solutions of Stochastic Differential Equations
- Brownian motion and harnack inequality for Schrödinger operators
- Elliptic Partial Differential Equations of Second Order
- Parabolic equations with singular divergence‐free drift vector fields
- A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations
- Multidimensional stochastic differential equations with distributional drift
- A stochastic representation for backward incompressible Navier-Stokes equations
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
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