Exponential convergence of the stochastic micropolar and magneto-micropolar fluid systems
Copyright policy )Exponential convergence of the stochastic micropolar and magneto-micropolar fluid systems
Summary: We study the micropolar and magneto-micropolar fluid systems with random forces in two-dimensional case. The additional terms on the equations that govern the time evolution of the velocity and micro-rotational velocity vector fields are more singular than many other equations that have been previously studied, for example Bénard or magnetic Bénard problem. Following the approach of [2] via a coupling method, we prove the existence and uniqueness of their solutions and the invariant measures as well as the exponential convergence of its trajectories to the unique invariant measure.
Stochastic partial differential equations (aspects of stochastic analysis), Ergodicity, mixing, rates of mixing, Magnetohydrodynamics and electrohydrodynamics
Stochastic partial differential equations (aspects of stochastic analysis), Ergodicity, mixing, rates of mixing, Magnetohydrodynamics and electrohydrodynamics
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