March 7, 2017
3:00PM - 4:00PM
Math Building 105
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2017-03-07 16:00:00
2017-03-07 17:00:00
Analysis and Operator Theory Seminar - Feride Tiglay
Title: Nonuniform dependence on initial data for compressible gas dynamicsSpeaker: 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).
Math Building 105
OSU ASC Drupal 8
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America/New_York
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Add to Calendar
2017-03-07 15:00:00
2017-03-07 16:00:00
Analysis and Operator Theory Seminar - Feride Tiglay
Title: Nonuniform dependence on initial data for compressible gas dynamicsSpeaker: 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).
Math Building 105
Department of Mathematics
math@osu.edu
America/New_York
public
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).
