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

• Mathematics • Previous Articles     Next Articles

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


  1. (School of Mathematics and Computational Sciences,Xiangtan University,Xiangtan 411105,Hunan China)
  • Online:2012-03-25 Published:2012-05-28

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

WeChat e-book chaoxing Mobile QQ