Article ID Journal Published Year Pages File Type
4629201 Applied Mathematics and Computation 2013 6 Pages PDF
Abstract

In this paper, we are concerned with the blowup phenomena of solutions to the isentropic Euler equations for Chaplygin gases. By the method of phase portrait and Liapunov functions, we first obtain the blowup results of the spherically symmetric solutions to the equations in the multi-dimensional case. For one-dimensional Chaplygin gases, some solutions globally in time and blowup phenomena are derived simultaneously by the constructing method.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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