Global smooth solutions for the inviscid SQG equation
Angel Castro, Diego C\'ordoba, Javier G\'omez-Serrano
TL;DR
This paper demonstrates the existence of the first non-trivial family of smooth, global solutions to the inviscid surface quasi-geostrophic (SQG) equation, advancing understanding of its solution behavior.
Contribution
It introduces the first known family of classical global solutions for the inviscid SQG equation, filling a significant gap in the mathematical theory.
Findings
Existence of non-trivial classical global solutions for inviscid SQG.
Construction of a specific family of solutions.
Advancement in understanding the dynamics of the SQG equation.
Abstract
In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
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