Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
TL;DR
This paper proves the global existence and uniqueness of strong solutions for a 3D Hasegawa-Mima plasma model with partial dissipation, advancing understanding of turbulent plasma behavior.
Contribution
It establishes the first rigorous proof of global strong solutions for the 3D Hasegawa-Mima model with partial dissipation.
Findings
Global existence of strong solutions proven
Uniqueness of solutions established
Model behavior under partial dissipation analyzed
Abstract
We study the three-dimensional Hasegawa-Mima model of turbulent magnetized plasma with horizontal viscous terms and a weak vertical dissipative term. In particular, we establish the global existence and uniqueness of strong solutions for this model.
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