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

0405626科瓦尔奇兹这一美国-智利奖项将支持肯特州立大学的米哈尔·科瓦尔奇克博士与智利圣地亚哥智利大学的帕特里西奥·L·费尔默博士和萨洛姆·马丁内斯博士合作。研究人员将在研究集中现象时产生的非线性偏微分方程式领域进行合作。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。他们将建立渐近分布。据预测，这一规模通常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.