Cylindrical Symplectic Representation and Global Regular Solution of Incompressible Navier-Stokes Equations in ${\mathbb{R}}^3$

Abstract

The existence and uniqueness of global regular solution of incompressible Navier-Stokes equations in ${\mathbb{R}}^3$ are derived provided the initial velocity vector field holds a special structure.

28 pages. arXiv admin note: text overlap with arXiv:2305.13737