Existence of solutions to steady Navier-Stokes equations via a minimax approach
Date
2023-03-07
Authors
Fereidooni, Amin
Moameni, Abbas
Grewal, Anant
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Our objective in this paper is to develop and utilize a minimax principle for proving the existence of symmetric solutions for the stationary Navier-Stokes equations. Notwithstanding its application to symmetric solutions in this paper, our minimax principle is broad enough to capture other types of solutions provided the equation and the external force are compatible under a family of operations including but not limited to being invariant by compact groups. The subset of functions compatible under this family of operations is not required to be a linear subspace, and being a closed convex set suffices for our purpose.
Description
Keywords
Navier-Stokes equations, Variational principles
Citation
Fereidooni, A., Moameni, A., & Grewal, A. (2023). Existence of solutions to steady Navier-Stokes equations via a minimax approach. <i>Electronic Journal of Differential Equations, 2023</i>(26), pp. 1-11.
Rights
Attribution 4.0 International