Behavior of solutions of 2D quasi-geostrophic equations

被引：337

作者：

Constantin, P ^{[1
]}

Wu, JH

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1999年 / 30卷 / 05期

关键词：

quasi-geostrophic equation; existence; uniqueness; large time approximation;

D O I：

10.1137/S0036141098337333

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study solutions to the 2D quasi-geostrophic (QGS) equation partial derivative theta/partial derivative t + u . del theta + kappa(-Delta)(alpha)theta = f and prove global existence and uniqueness of smooth solutions if alpha is an element of (1/2; 1]; weak solutions also exist globally but are proven to be unique only in the class of strong solutions. Detailed aspects of large time approximation by the linear QGS equation are obtained.

引用

页码：937 / 948

页数：12

共 13 条

[1] DECAY OF SOLUTIONS OF SOME NONLINEAR-WAVE EQUATIONS [J].