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arXiv · 1709.10495

On the Weak Solutions to the 3D Inviscid Quasi-Geostrophic System

Matthew D. Novack
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Abstract

The purpose of this note is to study the weak solutions to the inviscid quasi-geostrophic system for initial data belonging to Lebesgue spaces. We give a global existence result as well as detail the connections between several different notions of weak solutions. In addition, we give a condition under which the energy of the system is conserved.

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Matthew D. Novack. 2017-09-29. On the Weak Solutions to the 3D Inviscid Quasi-Geostrophic System. https://arxiv.org/abs/1709.10495

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