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Title: Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations

We establish the continuity of the Markovian semigroup associated with strong solutions of the stochastic 3D Primitive Equations, and prove the existence of an invariant measure. The proof is based on new moment bounds for strong solutions. The invariant measure is supported on strong solutions and is furthermore shown to have higher regularity properties.
Authors:
 [1] ; ;  [2] ;  [3]
  1. Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061 (United States)
  2. Department of Mathematics, University of Southern California, Los Angeles, California 90089 (United States)
  3. Department of Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)
Publication Date:
OSTI Identifier:
22306211
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS; GAUGE INVARIANCE; MARKOV PROCESS; MATHEMATICAL SOLUTIONS; THREE-DIMENSIONAL CALCULATIONS