**Abstract:**

Conservation laws are first order nonlinear partial differential equations that describe physical models where certain quantities are conserved, such as mass, momentum and energy. When the medium is rough, the flux functions can be discontinuous with respect to time and space. In this talk I will give an introduction to this field, and a brief overview of some of the results for these equations. Towards the end, I will present the main result in a recent work (joint with Alberto Bressan and Graziano Guerra) on existence and uniqueness where the flux is only a regulated function in time and space.

**Biography:**

Dr. Wen Shen received her Ph.D. in Oslo, Norway. Currently she is a Professor of mathematics at Penn State University. She works in the field of nonlinear PDEs, in particular hyperbolic conservation laws and their applications.

*Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai*