Local strong solution for the viscous compressible and heat-conductive fluids with vacuum in 2D space

Zhilei Liang

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arXiv · 1508.03791

Local strong solution for the viscous compressible and heat-conductive fluids with vacuum in 2D space

Zhilei Liang

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Abstract

This paper considers the Cauchy problem of equations for the viscous compressible and heat-conductive fluids in the two-dimensional(2D) space. We establish the local existence theory of unique strong solution under some initial layer compatibility conditions. The initial data can be arbitrarily large, the initial density is allowed to vanish in any set and the far field state is assumed to be vacuum.

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Zhilei Liang. 2015-08-16. Local strong solution for the viscous compressible and heat-conductive fluids with vacuum in 2D space. https://arxiv.org/abs/1508.03791

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