Martingale solutions and Markov selections for stochastic partial differential equations
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Publication:1016638
DOI10.1016/j.spa.2008.08.009zbMath1177.60060OpenAlexW2072234063MaRDI QIDQ1016638
Xicheng Zhang, Beniamin Goldys, Michael Roeckner
Publication date: 6 May 2009
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2008.08.009
martingale solutionstochastic Navier-Stokes equationstochastic porous medium equationMarkov selection
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic porous media equations and self-organized criticality
- Weak solutions to stochastic porous media equations
- A concise course on stochastic partial differential equations
- Stochastic generalized porous media and fast diffusion equations
- Markov selections for the 3D stochastic Navier-Stokes equations
- Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case
- On the stochastic porous medium equation
- ON STOCHASTIC EVOLUTION EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS
- ON THE SELECTION OF A MARKOV PROCESS FROM A SYSTEM OF PROCESSES AND THE CONSTRUCTION OF QUASI-DIFFUSION PROCESSES
- Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity
- Stochastic evolution equations
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