Work

Boundary control problem for stochastic 2d-Navier-Stokes equations

Year: 2023

Type: preprint

Abstract: We study a stochastic velocity tracking problem for the 2D-Navier-Stokes equations perturbed by a multiplicative Gaussian noise. From a physical point of view, the control acts through a boundary injection/suction device with uncertainty, modeled by stochastic non-homogeneous Navier-slip boundary conditions. We show the existence and uniqueness of the solution to the state equation, and prove the existence of an optimal solution to the control problem.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2312.05935

Authors: Chemetov, Nikolai, Cipriano, Fernanda

Institutions: NOVAMath Center for Mathematics and Applications, Universidade de São Paulo, Universidade Nova de Lisboa

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Fundação para a Ciência e a Tecnologia

Awards: Centro de Matemática e Aplicações, Centro de Matemática e Aplicações, G6438247056

OpenAlex ID: W4389650836

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