Global Solutions of a Surface Quasi-Geostrophic Front Equation

Autor:	Hunter, John K., Shu, Jingyang, Zhang, Qingtian
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs Physics - Fluid Dynamics
Zdroj:	Pure Appl. Analysis 3 (2021) 403-472
Druh dokumentu:	Working Paper
DOI:	10.2140/paa.2021.3.403
Popis:	We consider a nonlinear, spatially-nonlocal initial value problem in one space dimension on $\mathbb{R}$ that describes the motion of surface quasi-geostrophic (SQG) fronts. We prove that the initial value problem has a unique local smooth solution under a convergence condition on the multilinear expansion of the nonlinear term in the equation, and, for sufficiently smooth and small initial data, we prove that the solution is global. Comment: 55 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.07631 Zobrazit plný text záznamu View this record from Arxiv