Existence and Smoothness of Navier-Stokes Equations
Svetlin G. Georgiev, Gal Davidi
TL;DR
This paper introduces a novel method for proving the existence and smoothness of global solutions to the 3D Navier-Stokes equations, addressing a major open problem in mathematical physics and PDEs.
Contribution
It presents a new approach that could potentially resolve the Millennium Prize problem by establishing global solutions for Navier-Stokes equations.
Findings
Proposes a new method for Navier-Stokes solutions
Addresses the Clay Millennium Prize problem
Applicable to other PDE classes
Abstract
In this paper we propose new method for proving of global solutions for 3D Navier-Stokes equations. This complies an application to the Clay Institute Millennium Prize Navier Stokes Problem. The proposed method can be applied for investigation of global solutions for other classes of PDEs.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Navier-Stokes equation solutions