Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation

作者：Dong Bo-Qing^*; Chen Zhi-Min

来源：Nonlinearity, 2006, 19(12): 2919-2928.

DOI：10.1088/0951-7715/19/12/011

The asymptotic stability for the weak solution. of the critical and supercritical dissipative quasi- geostrophic equation in the Serrin- type class del theta is an element of L-r( 0, infinity; L-p(R-2)) is examined. This equation is perturbed by large initial data and external functions. It is shown that every weak perturbed solution (theta) over tilde. has the same asymptotic behaviour as that of theta. More precisely, the difference (theta) over tilde (t) - theta(t) decays in the norm of L-2(R-2).

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  南开大学