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

0405626科瓦尔奇克美国-智利奖将为肯特州立大学的Michal Kowalczyk博士提供支持，与Patricio L.智利圣地亚哥智利大学的Felmer和Salome Martinez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，他们的目标是研究在奇异极限中坍塌和消失的过渡层的存在。 他们将建立渐近剖面。 据预测，这一规模一般将不同于问题的自然规模。

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.