The interaction between noise and transport mechanisms in PDEs
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Publication:653923
DOI10.1007/s00032-011-0164-5zbMath1231.35165OpenAlexW2057116401MaRDI QIDQ653923
Publication date: 20 December 2011
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-011-0164-5
PDEs in connection with fluid mechanics (35Q35) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)
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Cites Work
- Unnamed Item
- Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations
- Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010
- Transport equation and Cauchy problem for BV vector fields
- Well-posedness of the transport equation by stochastic perturbation
- Ergodicity for the 3D stochastic Navier-Stokes equations
- Ordinary differential equations, transport theory and Sobolev spaces
- Analysis of equilibrium states of Markov solutions to the 3D Navier-Stokes equations driven by additive noise
- Mathematical theory of incompressible nonviscous fluids
- Strong solutions of stochastic equations with singular time dependent drift
- Diagonal defect measures, adhesion dynamics and Euler equation.
- Markov selections for the 3D stochastic Navier-Stokes equations
- Vorticity and Incompressible Flow
- Hölder Flow and Differentiability for SDEs with Nonregular Drift
- Noise Prevents Collapse of Vlasov-Poisson Point Charges
- Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise
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