排序方式: 共有17条查询结果,搜索用时 15 毫秒
11.
This paper is concerned with the Navier-Stokes/Allen-Cahn system,which is used to model the dynamics of immiscible two-phase flows.We consider a 1D free boundary problem and assume that the viscosity coefficient depends on the density in the form of η(ρ)=ρ~α.The existence of unique global H2m-solutions(m ∈ N) to the free boundary problem is proven for when 0 <α<1/4.Furthermore,we obtain the global C~∞-solutions if the initial data is smooth. 相似文献
12.
本文从位移函数满足的二阶平衡方程组出发,用复方法研究平面均匀正交各向异性弹性力学的几个基本问题:讨论应力边界条件,研究一般公式,解决多连域上经典的第二基本问题[1]及一类新的第二基本问题[8]。 相似文献
13.
In this article, using coordinate transformation and Gronwall inequality, we study the vortex motion law of the anisotropic Ginzburg-Landau equation in a smooth bounded domain Ω R2, that is, ■tuε = 2Σ/j,k=1 (ajkj■xjkuε)xj + b(x)(1-ε|ε|2)uε/2u, x ∈Ω, and conclude that each vortex bj(t) (j=1, 2,···, N) satisfies dbdjt(t)= -(a1k(bj(t)b)■(xk))a(a (bj(t)), a2k(bj (t))/xk a(bj (t)) a(bj (t)) , where a(x) =(a11a22-a122(1/2)). We prove that all the vortices are pinned together to the critical points of a(x). Furthermore, we prove that these critical points can not be the maximum points. 相似文献
14.
该文研究了一维具有周期初值Landau-Lifshitz-Maxwell方程的整体光滑解的存在唯一性.为得到一致先验估计,作者利用了|Z(x,t)|=1和{Z,Z_x,Z×Z_x}构成R~3的一组基的办法. 相似文献
15.
1 Initial Value Problem Let M be a m-dimensional compact,smooth,Riemannian manifold without boundary.Forsimplicity,we shall assume M=R~m in our proof since the general case can be handled in thesimilar manner. Consider the Landau-Lifshitz system 相似文献
16.
本文是[1]的继续.仍然讨论 Thermal Noise 超导模型的 Ginzburs-Landau泛函的涡旋的分布机制,推导了重整化(Renormalized)能,并且证明了涡旋位于此能量的极小点处. 相似文献
17.
本文讨论一个含杂质的超导模型的变分问题,研究了它的极小元的渐近性态以及涡旋的钉轧机制,证明了涡旋位于杂质附近. 相似文献