Existence and uniqueness of the global solution to the Navier-Stokes boundary problem
Alexander G. Ramm
TL;DR
This paper proves the global existence and uniqueness of weak solutions to the Navier-Stokes boundary problem, providing a concise and self-contained mathematical demonstration.
Contribution
It offers a new, simplified proof establishing the existence and uniqueness of solutions for the Navier-Stokes boundary problem.
Findings
Proves global existence of weak solutions
Establishes uniqueness of solutions
Provides a concise, self-contained proof
Abstract
A proof is given of the global existence and uniqueness of a weak solution to Navier-Stokes boundary problem. The proof is short and essentially self-contained.
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Taxonomy
TopicsNavier-Stokes equation solutions · Stability and Controllability of Differential Equations · Computational Fluid Dynamics and Aerodynamics