Tuesday, February 21, 2017 - 3:00pm to 4:00pm

Math Building 105

**Title**: Nonuniform dependence on initial data for compressible gas dynamics

**Speaker**: Feride Tiglay (Ohio State University)

**Abstract**: The Cauchy problem for ideal compressible gas dynamics is known to be locally well posed in time in the sense of Hadamard; there is a unique solution that depends continuously on initial data in Sobolev spaces for high enough index. We prove that the data to solution map for periodic data in two dimensions although continuous is not uniformly continuous on any bounded subset of Sobolev class functions (joint work with Barbara Keyfitz).