On the global classical solutions for the generalized SQG equation
Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou
TL;DR
This paper establishes the existence of new global classical solutions, including rotating and traveling-wave solutions, for the generalized surface quasi-geostrophic equation using variational methods.
Contribution
It introduces new families of global classical solutions for the generalized SQG equation, expanding understanding of its solution space.
Findings
Existence of rotating solutions.
Existence of traveling-wave solutions.
Solutions are global and classical.
Abstract
In this paper, we study the existence of global classical solutions to the generalized surface quasi-geostrophic equation. By using the variational method, we provide some new families of global classical solutions for to the generalized surface quasi-geostrophic equation. These solutions mainly consist of rotating solutions and travelling-wave solutions.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Nonlinear Waves and Solitons