Amin Fereidooni, Abbas Moameni, Anant Grewal
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.
Submitted August 14, 2022. Published March 7, 2023.
Math Subject Classifications: 35Q30, 37K58.
Key Words: Navier-Stokes equations; variational principles.
DOI: https://doi.org/10.58997/ejde.2023.26
Show me the PDF file (299 KB), TEX file for this article.
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Amin Fereidooni National Research Council Canada Ottawa, ON, Canada email: Amin.Fereidooni@nrc-cnrc.gc.ca |
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Abbas Moameni School of Mathematics and Statistics Carleton University Ottawa, ON, Canada email: momeni@math.carleton.ca |
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Anant Grewal National Research Council Canada Ottawa, ON, Canada email: Anant.Grewal@nrc-cnrc.gc.ca |
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