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STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE
Journal article

STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE

  • EWALD, B. Department of Mathematics, Florida State University, Tallahassee, Florida, 32306-4510, USA
  • PETCU, M. Université de Genève, Section de Mathématiques, Genève, Switzerland
  • TEMAM, R. The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, Indiana 47405, USA
  • 2011-11-20
Published in:
  • Analysis and Applications. - World Scientific Pub Co Pte Lt. - 2007, vol. 05, no. 02, p. 183-198
Applied Mathematics
Analysis
English The aim of this article is to establish the existence and uniqueness of stochastic solutions of the two-dimensional equations of the ocean and atmosphere. White noise is additive, and the solutions are strong in the probabilistic sense. Finally, from the point of view of partial differential equations, they are of the type z-weak, that is, bounded in L∞(L2) together with their derivative in z.
Language
  • English
Open access status
closed
Identifiers
Persistent URL
https://folia.unifr.ch/global/documents/252799
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