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11.
三维复Ginzburg-Landau方程的整体解的存在惟一性 总被引:2,自引:0,他引:2
在三维空间中研究带2σ次非线性项的复值Ginzburg—Landau方程(CGL) ut=ρu (1 iγ)△u-(1 iμ)|u|^2σu,通过先验估计的方法,在适当的σ的假设下,获得该方程周期边值问题整体解的存在性和惟一性. 相似文献
12.
讨论二维全平面 Neiver- Stokes方程 tu -γ△ u αu u( .u) =f (x,t)∈Ω× R (1)div u =0 (2 )u(x,t)∈ H10 (Ω ) t>0 (3)u(x,0 ) =u0 (x)∈ H∩ H0 ,r (4 )其中Ω =R2 ,u =(u1,u2 )为速度场 ,f为外力 ,α >0 ,αu为与速度场平行的阻尼项 ,可理解为流体内部耗散的零阶近似 ,利用算子分解的方法 ,引入加权函数 ,我们证明问题 (1)~ (4 )在 H中存在指数吸引子 . 相似文献
13.
Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation 下载免费PDF全文
A new type of two-wave solution, i.e. a homoclinic breather-wave solution with convective effect, for the (1+1)- dimensional Boussinesq equation is obtained using the extended homoelinic test method. Moreover, the mechanical feature of the wave solution is investigated and the phenomenon of homoelinic convection of the two-wave is exhibited on both sides of the equilibrium. These results enrich the dynamical behavior of (1+1)-dimensional nonlinear wave fields. 相似文献