Asymptotic behavior of stochastic PDEs with random coefficients
Da Prato Giuseppe (ENS), Arnaud Debussche (IRMAR)
TL;DR
This paper investigates the long-term behavior of solutions to stochastic PDEs with independent-scale random coefficients, providing insights applicable to 2D Navier--Stokes equations.
Contribution
It introduces a new analysis of asymptotic behavior in stochastic PDEs with multi-scale randomness, extending understanding to fluid dynamics models.
Findings
Characterization of asymptotic limits for stochastic PDEs with random coefficients
Application of results to 2D Navier--Stokes equations
Insights into the influence of multi-scale randomness on long-term dynamics
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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Taxonomy
TopicsStochastic processes and financial applications · Navier-Stokes equation solutions · Stability and Controllability of Differential Equations