Existence and approximate controllability results for time-fractional stochastic Navier-Stokes equations
Optimization and Control
2025-10-13 v3 Dynamical Systems
Abstract
This paper deals with time-fractional stochastic Navier-Stokes equations, which are characterized by the coexistence of stochastic noise and a fractional power of the Laplacian. We establish sufficient conditions for the existence and approximate controllability of a unique mild solution to time-fractional stochastic Navier-Stokes equations. Using a fixed point technique, we first demonstrate the existence and uniqueness of a mild solution to the equation under consideration. We then establish approximate controllability results by using the concepts of fractional calculus, semigroup theory, functional analysis and stochastic analysis.
Keywords
Cite
@article{arxiv.2408.17173,
title = {Existence and approximate controllability results for time-fractional stochastic Navier-Stokes equations},
author = {Renu Chaudhary and Simeon Reich and Juan J. Nieto},
journal= {arXiv preprint arXiv:2408.17173},
year = {2025}
}