Global existence and uniqueness for anisotropic axisymmetric Navier-Stokes system
Hammadi Abidi, Marius Paicu
TL;DR
This paper proves the global existence and uniqueness of solutions for a specific anisotropic axisymmetric 3-D Navier-Stokes system with zero horizontal viscosity, under Yudovitch-type initial data.
Contribution
It establishes the first rigorous proof of global solutions for this anisotropic Navier-Stokes system with zero horizontal viscosity.
Findings
Existence of a unique global solution is proven.
The solution exists for initial data of Yudovitch type.
The system's behavior under anisotropic conditions is characterized.
Abstract
We study in this paper the axisymmetric 3-D Navier-Stokes system where the horizontal viscosity is zero. We prove the existence of a unique global solution to the system with initial data of Yudovitch type
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations