Existence of Solutions of Nonconvex Multivalued Navier Stokes Equations
Analysis of PDEs
2025-03-12 v1
Abstract
In this paper, we discuss the existence of local strong solutions for the multivalued version of three-dimensional nonstationary Navier-Stokes equation in Banach spaces. Also, we considered a more general inclusion problem and studied the existence of solutions using the fixed point technique approach. We assume that the multivalued map possesses closed values (not necessarily convex values) and apply the Schauder Fixed Point Theorem in order to deduce the existence of fixed points.
Keywords
Cite
@article{arxiv.2503.08351,
title = {Existence of Solutions of Nonconvex Multivalued Navier Stokes Equations},
author = {Bholanath Kumbhakar and Dwijendra Narain Pandey},
journal= {arXiv preprint arXiv:2503.08351},
year = {2025}
}