Dynamic Programming of Stochastic 2-D Navier-Stokes Equations Forced by Levy Noise

Autor:	Mohan, Manil. T., Sakthivel, K., Sritharan, Sivaguru S.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this article, we study optimal feedback control synthesis of stochastic 2D Navier-Stokes equations perturbed Levy type noise with distributed stochastic control process acting on the state equation. We use the dynamic programming approach to solve this control problem which involves the study of second order infinite dimensional Hamilton- Jacobi-Bellman (HJB) equation consisting of an integro-differential operator with Levy measure associated with the stochastic control problem. Using the regularizing properties of the transition semigroup corresponding to the stochastic 2D Navier-Stokes equation, we obtain a smooth solution in weighted function space for the HJB equation and solve the resultant feedback control problem. Comment: arXiv admin note: text overlap with arXiv:2204.06548
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.08072 Zobrazit plný text záznamu View this record from Arxiv