Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure in two dimensions
We prove existence and uniqueness of martingale solutions to a (slightly) hyperviscous stochastic Navier-Stokes equation in 2d with initial conditions absolutely continuous with respect to the Gibbs measure associated to the energy, getting the results both in the torus and in the whole space settin...
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| creator | Gubinelli, M Turra, M |
| description | We prove existence and uniqueness of martingale solutions to a (slightly) hyperviscous stochastic Navier-Stokes equation in 2d with initial conditions absolutely continuous with respect to the Gibbs measure associated to the energy, getting the results both in the torus and in the whole space setting. |
| doi_str_mv | 10.48550/arxiv.1912.06881 |
| format | Article |
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| subjects | Energy measurement Fluid dynamics Fluid flow Initial conditions Martingales Mathematics - Mathematical Physics Mathematics - Probability Navier-Stokes equations Noise measurement Physics - Mathematical Physics White noise |
| title | Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure in two dimensions |
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