Asymptotic behavior of stochastic PDEs with random coefficients

2010/03/03 by Da Prato Giuseppe, Arnaud Debussche, Giuseppe, Da Prato +1
Economics, Econometrics and Finance · Engineering · Mathematics · #37A25 #37L55 #60H15 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Probability (math.PR) #Stability and Controllability of Differential Equations #Stochastic processes and financial applications #math.AP #math.PR #msc:37A25 #msc:37L55 #msc:60H15 #msc:76D05

paper · pdf · doi:10.48550/arxiv.1003.0762

arxiv created 2010/03/03 · openalex publication_date 2010/03/03 · arxiv updated 2010/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the long time behavior of the solution of a stochastic PDEs with random coefficients assuming that randomness arises in a different independent scale. We apply the obtained results to 2D- Navier--Stokes equations.

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