U.S.-Chile Collaborative Research: Gradient Theory of Phase Transitions with Inhomogeneous Potentials: Phantom Interfaces and High Energy Solutions

这份美国-智利奖将支持肯特州立大学的michael Kowalczyk博士与肯特州立大学的michael Kowalczyk博士进行合作。智利圣地亚哥智利大学的帕特里西奥·l·费尔默和莎乐美·马丁内斯说。研究人员将在浓度现象研究中出现的非线性偏微分方程领域进行合作。更具体地说，他们的目的是研究在奇异极限下坍塌和消失的过渡层的存在性。他们将建立渐近轮廓。据预测，这种规模通常与问题的自然规模不同。

0405626KowalczykThis U.S.-Chile award will provide support for Dr. Michal Kowalczyk, Kent State University, to collaborate with Drs. Patricio L. Felmer and Salome Martinez of the University of Chile in Santiago, Chile. The investigators will collaborate in the area of nonlinear partial differential equations that arise in the study of concentration phenomena. More specifically, they aim to study the existence of transition layers that collapse and disappear in the singular limit. They will establish asymptotic profiles. It is predicted that this scale will in general differ from the natural scale of the problem.