Asymptotic profile of solutions to the two-dimensional dissipative quasi-geostrophic equation

作者：Dong BoQing^*; Liu QingQing

来源：Science China Mathematics, 2010, 53(10): 2733-2748.

DOI：10.1007/s11425-010-4098-0

• quasi-geostiophic equation
• L(2) decay
• asymptotic stability

This paper is concerned with the asymptotic behavior of the two-dimensional dissipative quasi-geostrophic equation Based on the spectral decomposition of the Laplacian operator and iterative techniques, we obtain improved L(2) decay rates of weak solutions and derive more explicit upper bounds of higher order derivatives of solutions We also prove the asymptotic stability of the subcritical quasi-geostrophic equation under large initial and external perturbations.

• 出版日期2010-10
• 单位安徽大学