Time is one of the most intriguing concepts in physics, and yet, it's something that we often take for granted. But what if the way we experience time moving only forward defies the very laws of ...

In this paper we explicitly construct the entropy solutions for the Lighthill-Whitham-Richards (LWR) traffic flow model with a flow-density relationship which is piecewise quadratic, concave, but not ...

In this article, we generalize some recent results of Colding and Minicozzi on generic singularities of mean curvature flow to curved ambient spaces. To do so, we make use of a weighted monotonicity ...