Title:  Some progresses on two-dimensional Riemann problems in gas dynamics

Abstract:  Two dimensional Riemann problems for compressible fluid flows assume the simplest piecewise sectorial initial state but provide the most fundamental wave configurations, including the reflection of oblique shocks and vortex-shock interaction etc. In this talk I will show many fascinating pictures, based on 2D Riemann solutions, to disclose the mysteries of compressible fluid world both through analytical tools (in the form of mathematical theorems) and computational techniques (in the form of simulations). The analysis is based on the characteristic decomposition theory we developed recently, while the simulations are obtained using the generalized Riemann problem (GRP) scheme that is equipped with a highly accurate solver in the construction of numerical fluxes by a way of tracking singularities analytically and keeping entropy exactly computed. 

Meet to plan next week's meeting and spring events

Come join Sigma Tau Delta & help us plan our Spring activities.

Under the leadership of Prime Minister Abe, the Japanese government is proactively working to solve the major challenges Japan faces. Consul-General Kato discusses these challenges and outlines Japan’s path for-ward to prosperity.

Aki Kawamura’s talk will center on Kankuro Kudos, a popular screenwriter, dramatist, director and actor in Japan. His latest film, King of Apology, recently premiered in New York City.

Kawamura researches contemporary American literature and culture in the context of postmodern and ethnic studies, especially 9/11 novels like works by Don DeLillo, Paul Auster, and Jonathan Safran Foer, and politics of hip hop culture. He has been recently interested in Japanese artists influenced by American culture, and would like to introduce them to American society as a Japanese researcher specializing in American studies.



A reception will follow the talk.



Sponsored by the American Studies Program 

Title:  On a thermodynamically consisted Stefan problem with variable surface energy

Abstract:  Given a filtration of a simplicial complex we can construct a series of invariants called the persistent homology groups of the filtration. In this talk we will give a basic introduction to the theory of persistence and explain how these ideas can be used in data analysis.