Article ID Journal Published Year Pages File Type
5775281 Journal of Mathematical Analysis and Applications 2017 37 Pages PDF
Abstract
In this paper, we study the 1-D piston problem for compressible full Euler equations under the assumptions that the total variation of the initial data and the perturbation of the piston velocity are sufficiently small. By a modified wave front tracking method, we establish the global existence of entropy solutions including a strong rarefaction wave without restriction on the strength. Moreover, we establish the asymptotic behavior of the solutions as t→∞.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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