论文标题
在一般平面域中的两个组件系统的相位分离解决方案
Phase separating solutions for two component systems in general planar domains
论文作者
论文摘要
在本文中，我们考虑了一个两个组件系统，该系统是耦合的非线性schrödinger方程，该方程模拟了Bose-Einstein冷凝物和其他相关问题的二元混合物中的相分离。假设存在溶液在大种间散射长度$β$的极限的情况下，系统将减少到纯相子域上的几个标量问题。在这里，我们表明，在一些其他非退化假设下，存在解决限制问题的解决方案，存在由参数$β\ gg 1 $参数化的解决方案家族。
In this paper we consider a two component system of coupled non linear Schrödinger equations modeling the phase separation in the binary mixture of Bose-Einstein condensates and other related problems. Assuming the existence of solutions in the limit of large interspecies scattering length $β$ the system reduces to a couple of scalar problems on subdomains of pure phases. Here we show that given a solution to the limiting problem under some additional non degeneracy assumptions there exists a family of solutions parametrized by the parameter $β\gg 1$.
