Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773992 | Journal of Differential Equations | 2017 | 18 Pages |
Abstract
We start with the classic result that the Cauchy problem for ideal compressible gas dynamics is locally well posed in time in the sense of Hadamard; there is a unique solution that depends continuously on initial data in Sobolev space Hs for s>d/2+1 where d is the space dimension. We prove that the data to solution map for periodic data in two dimensions although continuous is not uniformly continuous.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
B.L. Keyfitz, F. TıÄlay,