supported by NSF Grants DMS-1418911,DMS-1418928,ONR Grant N00014-15-1-2333;the Einstein Stiftung/Foundation-Berlin;the Einstein Visiting Fellow Program;the John Simon Guggenheim Memorial Foundation
An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time. The authors consider a nudging-based approach for data assimilation that constructs an ap...
supported by the National Natural Science Foundation of China (Grant Nos.91637211,41205027 and 41375053);the National Key Basic Research and Development Project of China (Grant No.2012CB417201)
Based on basic equations in isobaric coordinates and the quasi-geostrophic balance,an eddy-flux form budget equation of the divergent wind has been derived. This newly derived budget equation has evident physical sign...
Supported by the China Meteorological Administration Special Public Welfare Research Fund(GYHY201306023);National(Key)Basic Research and Development(973)Program of China(2013CB430106);National Natural Science Foundation of China(41375051)
The advance of fluid dynamics may be divided into four stages: ancient, classical, neoteric, and contem- porary. A similar four-stage framework can be used to describe the advance of synoptic meteorology, such as the...
partially supported by National Natural Science Foundation of China (Grant No.10801001,10771001);Natural Science Foundation of Anhui Education Bureau (Grant No.KJ2008A025);the Innovation Term Fund (Grant No.KJTD002B);the Outstanding Youth Fund (Grant No.KJJQ005) of Anhui University
This paper is concerned with the asymptotic behavior of the two-dimensional dissipative quasigeostrophic equation.Based on the spectral decomposition of the Laplacian operator and iterative techniques,we obtain improv...
Supported by the National Natural Science Foundation of China under Grant Nos. 10735030, 90718041, and 40975038;Shanghai Leading Academic Discipline Project under Grant No. B412;Program for Changjiang Scholars and Innovative Research Team in University (IRT0734)
By the Backlund transformation method, an important (2+1)-dimensional nonlinear barotropie and quasigeostrophic potential vorticity (BQGPV) equation is investigated. Some simple special Backlund transformation th...
The project supported by the Alexander von Humboldt Foundation;the Youth Foundation of Shanghai Jiao Tong University;National Natural Science Foundation of China under Grant No.10475055
Applying the classical Lie symmetry approach to the barotropic and quasi-geostrophic potential vorticity equation without forcing and dissipation on a β-plane channel, we find a new symmetry, which is not presented i...
Foundation item:The work was supported in part by the NSFC(No.90511009).
We consider the two-dimensional stochastic quasi-geostrophic equation ■=1/(R_e)△~2■-r/2△■+f(x,y,t)(1.1) on a regular bounded open domain D ■,where ■ is the stream function,F Froude Number (F≈O(1)),R_e Reynolds...
In this paper, we consider the initial value problem of the 2D dissipative quasi-geostrophic equations. Existence and uniqueness of the solution global in time are proved in the homogenous Besov space Bp,∞ s p with s...