Advances in Mathematics 194 (2005) 203–223.elsevier/locate/aimFinite time singularities in a 1D model of thequasi-geostrophic equationDongho Cha..
Solvability of Cauchy's problem in R-2 for subcritical quasi-geostrophic equation is discussed here in two phase spaces; L-P (R-2) with p > 2/ 2 alpha-1 and H-s (R-2) with s > 1. A solution to that equation in critical case is obtained next as a limit of the H-s-...
quasi-geostrophic方程局部强解的爆破准则和全局强解的大时间性态
系统标签: geostrophic 方程 爆破 时间性 全局 quasi AbstractWeprovetwocriteriaoffinitetimeblow-upforthesmoothsolutionoftheinitialvalueproblemoftheQuasi-Geostrophicequation,givenintermsofthesmalltimebehaviorofthesolution.Theseresultsincludepoint-wiseblow-upalongthetrajectoriesandtheblow-upinSobolevnorm.Wealsoinvesti...
1. We obtained a class of approximate solitary wave solutions for the(2+1)-dimensional modified Kadomtsev-Petviashvili equation by using the homotopy analysis method(HAM). 利用同伦分析法求解了修正的Kadomtsev-Petviashvili方程,得到了它的近似孤立波解,该解与精确解符合得非常好。补充...
Besides its wide applicationin physics, the SQG equation has been attracted numerous attention for its signif i cancein the theory of partial dif f erential equations, and the behavior of its strongly nonlinearsolutions are strikingly analogous to that of the potentially singular solutions of the ...
9.3 準地轉.方程(Quasigeostrophic - - equation)一準地轉垂直運動診斷方程可如下求得:已知 g二门二gz重力位高度.:z1 RTP p及在等壓面上-:pR ;:pR ;:t jpp R ;:p ;t為重力位高度趨勢;:t而準地轉渦度方程為;:g 9 = Wg -:t 91f0;p,即 1 20 J7g7J fr f0.(9-9)絕熱準地轉熱力方程為...
Quasi-geostrophic equationInfinite delayStationary solutionStabilityAsymptotic stabilityPolynomial stabilityIn this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay is considered in the space \\(H^s\\) with \\(s\\ge 2-2\\alpha \\) and \...
We consider the asymptotic behavior of the surface quasi-geostrophic equation, subject to a small external force. Under suitable assumptions on the forcing, we first construct the steady states and we provide a number of useful a posteriori estimates for them. Importantly, to do so, we only ...
2) Modified Quasi-Geostrophic equation 修正的准地转方程 3) vorticity transfer equation 涡度转移方程 4) eddy ageostrophic geopotential fluxes 涡动非地转位势通量 1. It is shown that the "downstream development effect" caused by eddy ageostrophic geopotential fluxes serves as an important factor...