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arXiv · 1707.00504

Long-time existence of nonlinear inhomogeneous compressible elastic waves

Silu Yin·Xiufang Cui
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Abstract

In this paper, we consider the nonlinear inhomogeneous compressible elastic waves in three spatial dimensions when the density is a small disturbance around a constant state. In homogeneous case, the almost global existence was established by Klainerman-Sideris [1996_CPAM], and global existence was built by Agemi [2000_Invent. Math.] and Sideris [1996_Invent. Math., 2000_Ann. Math.] independently. Here we establish the corresponding almost global and global existence theory in the inhomogeneous case.

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Silu Yin, Xiufang Cui. 2017-07-03. Long-time existence of nonlinear inhomogeneous compressible elastic waves. https://arxiv.org/abs/1707.00504

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