Investigation of the weak solvability of the initial-boundary-value problem for the Navier–Stokes system based on the method of parabolic regularization
- Authors: Chirova M.V.1
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Affiliations:
- Federal State Enterprise "Scientific and Production Center "Delta',' Voronezh branch
- Issue: Vol 242 (2025)
- Pages: 92-104
- Section: Articles
- URL: https://journals.rcsi.science/2782-4438/article/view/312575
- DOI: https://doi.org/10.36535/2782-4438-2025-242-92-104
- ID: 312575
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Abstract
A proof of the existence of weak solutions for a system of equations describing the motion of a viscous fluid is given. A number of a priori estimates for the family of solutions are derived. Based on the topological theory of the degree of completely continuous vector fields, the existence of weak solutions of the approximation problem is established. The convergence of solutions of approximation problems to the solution of the original boundary-value problem is proved.
Keywords
About the authors
Margarita Vitalievna Chirova
Federal State Enterprise "Scientific and Production Center "Delta',' Voronezh branch
References
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