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Preprint di Matematica -n. 2 Aprile 2006 Viorel Barbu
 

Summary: Preprint di Matematica - n. 2 Aprile 2006
Viorel Barbu
Giuseppe Da Prato
SCUOLA NORMALE SUPERIORE
PISA
Existence and ergodicity for the 2D
stochastic MHD equations
Viorel Barbu
University Al. I. Cuza, 700506, Iasi, Romania
Giuseppe Da Prato
Scuola Normale Superiore, 56126, Pisa, Italy
Abstract
One proves existence of solutions to the magneto-hydrodynamics
equations driven by random exterior forcing terms both in velocity
field and in magnetic field. The existence and uniqueness of an invari-
ant mesure is also obtained via coupling methods.
2000 Mathematics Subject Classification AMS: 60H150,35K57,35Q3.
Key words: MHD equation,invariant measure, coupling, ergodicity.

Partially supported by a CEEX=05 grant of the Romanian Ministry of Education and

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics