Stochastic 2-D Navier-Stokes equation with artificial compressibility
نویسندگان
چکیده
منابع مشابه
Stochastic 2-D Navier-Stokes Equation
In this paper we prove the existence and uniqueness of strong solutions for the stochastic Navier-Stokes equation in bounded and unbounded domains. These solutions are stochastic analogs of the classical Lions-Prodi solutions to the deterministic Navier-Stokes equation. Local monotonicity of the nonlinearity is exploited to obtain the solutions in a given probability space and this significantl...
متن کاملStochastic Navier-Stokes Equations with Artificial Compressibility in Random Durations
The existence and uniqueness of adapted solutions to the backward stochastic Navier-Stokes equationwith artificial compressibility in two-dimensional bounded domains are shown byMintyBrowder monotonicity argument, finite-dimensional projections, and truncations. Continuity of the solutions with respect to terminal conditions is given, and the convergence of the system to an incompressible flow ...
متن کاملExponential Mixing of the 2 D Stochastic Navier - Stokes Dynamics
We consider the Navier-Stokes equation on a two dimensional torus with a random force which is white noise in time, and excites only a finite number of modes. The number of excited modes depends on the viscosity ν, and grows like ν −3 when ν goes to zero. We prove that this Markov process has a unique invariant measure and is exponentially mixing in time.
متن کاملErgodic Control of Stochastic Navier-stokes Equation with Lévy Noise
In this work we consider the controlled stochastic Navier-Stokes equations perturbed by Lévy noise in a two dimensional bounded domain and a semimartingale formulation is used to characterize the probability law defining the space-time statistical solution. The existence and uniqueness of invariant measures or stationary measures is examined under suitable assumptions on the noise coefficient. ...
متن کاملStochastic Navier-stokes Equations
1. Stochastic Integration on Hilbert spaces 2 1.1. Gaussian measures on Hilbert spaces 2 1.2. Wiener processes on Hilbert spaces 6 1.3. Martingales on Banach spaces 7 1.4. Stochastic integration 8 1.5. Appendix: Stochastic integration w.r.t. cylindrical Wiener processes 12 2. Stochastic Di erential Equations on Hilbert spaces 13 2.1. Mild, weak and strong solutions 13 2.2. Existence and uniquen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications on Stochastic Analysis
سال: 2007
ISSN: 0973-9599
DOI: 10.31390/cosa.1.1.10