Existence and Ergodicity for the Two-Dimensional Stochastic Magneto-Hydrodynamics Equations

Existence and Ergodicity for the Two-Dimensional Stochastic Magneto-Hydrodynamics Equations The paper proves the existence of solutions to the magneto-hydrodynamics equations driven by random exterior forcing terms both in the velocity and in the magnetic field. The existence and uniqueness of an invariant measure is also obtained via coupling methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Existence and Ergodicity for the Two-Dimensional Stochastic Magneto-Hydrodynamics Equations

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Publisher
Springer-Verlag
Copyright
Copyright © 2007 by Springer
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Methods
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-007-0882-2
Publisher site
See Article on Publisher Site

Abstract

The paper proves the existence of solutions to the magneto-hydrodynamics equations driven by random exterior forcing terms both in the velocity and in the magnetic field. The existence and uniqueness of an invariant measure is also obtained via coupling methods.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Sep 1, 2007

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