Quasi-Geostrophic方程经典解的爆破准则

doi:10.3969/j.issn.1007-2985.2012.02.006

journal6 ›› 2012, Vol. 33 ›› Issue (2): 19-23.DOI: 10.3969/j.issn.1007-2985.2012.02.006

Quasi-Geostrophic方程经典解的爆破准则

（湘潭大学数学与计算机科学学院，湖南湘潭 411105）

出版日期:2012-03-25 发布日期:2012-05-28
作者简介:崔文会（1988-），女,河南舞钢人，湘潭大学数学与计算机科学学院硕士研究生,主要从事偏微分方程研究.
基金资助:
国家自然科学基金资助项目（10771082）

Blow-up Criterion of Classical Solution of Quasi-Geostrophic Equation

(School of Mathematics and Computational Sciences,Xiangtan University,Xiangtan 411105,Hunan China)

Online:2012-03-25 Published:2012-05-28

摘要/Abstract

摘要：考虑Quasi-Geostrophic方程,以经典解沿流线小时间的表现,给出Quasi-Geostrophic方程经典解沿流线爆破的一个充分条件.方法是从Quasi-Geostrophic方程推出一个解的梯度长度的倒数沿流线的微分不等式,从而推出结论.手法与结果都类似于Chae关于3维不可压Euler方程组经典解的爆破工作.该结果对进一步研究Quasi-Geostrophic方程相关问题,有一定的启示作用.

关键词： Quasi-Geostrophic方程, 经典解, 爆破准则

Abstract: The quasi-geostrophic equation is considered in this paper.A criterion is given for the finite time blow-up of a classical solution in terms of its small time behaviors along the trajectories.The result is deduced from a differential inequality for the reciprocal of the length of the gradient of the solution along a particle trajectories.The method and the result are similar to those of Chae on the 3 dimensional incompressible Euler system.The result gives some inspiration for the further research of quasi-geostrophic equation.

Key words: Quasi-Geostrophic equation, classical solution, blow-up criterion

崔文会. Quasi-Geostrophic方程经典解的爆破准则[J]. journal6, 2012, 33(2): 19-23.

CUI Wen-Hui. Blow-up Criterion of Classical Solution of Quasi-Geostrophic Equation[J]. journal6, 2012, 33(2): 19-23.

Quasi-Geostrophic方程经典解的爆破准则

Blow-up Criterion of Classical Solution of Quasi-Geostrophic Equation

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价