Pathwise Solutions of the 2-D Stochastic Primitive Equations

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-010-9126-5· OSTI ID:22043923

Glatt-Holtz, Nathan; Temam, Roger ^[1]

---

1. Indiana University, Department of Mathematics and Institute for Scientific Computing and Applied Mathematics (United States)

In this work we consider a stochastic version of the Primitive Equations (PEs) of the ocean and the atmosphere and establish the existence and uniqueness of pathwise, strong solutions. The analysis employs novel techniques in contrast to previous works (Ewald et al. in Anal. Appl. (Singap.) 5(2):183-198, 2007; Glatt-Holtz and Ziane in Discrete Contin. Dyn. Syst. Ser. B 10(4):801-822, 2008) in order to handle a general class of nonlinear noise structures and to allow for physically relevant boundary conditions. The proof relies on Cauchy estimates, stopping time arguments and anisotropic estimates.

• OSTI ID: 22043923
• Journal Information: Applied Mathematics and Optimization, Vol. 63, Issue 3; Other Information: Copyright (c) 2011 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ANISOTROPY
BOUNDARY CONDITIONS
EQUATIONS
MATHEMATICAL SOLUTIONS
NOISE
NONLINEAR PROBLEMS
STOCHASTIC PROCESSES