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Nonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on
John Holmes, Barbara Lee Keyfitz, Feride Tiglay
The Cauchy problem for the two dimensional compressible Euler equations with data in the Sobolev space is known to have a unique solution of the same Sobolev cla…
math.AP2016
Nonuniform dependence on initial data for compressible gas dynamics: The periodic Cauchy problem
Barbara Lee Keyfitz, Feride Tiglay
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…