Long-time existence of nonlinear inhomogeneous compressible elastic waves
Analysis of PDEs
2017-07-04 v1
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.
Keywords
Cite
@article{arxiv.1707.00504,
title = {Long-time existence of nonlinear inhomogeneous compressible elastic waves},
author = {Silu Yin and Xiufang Cui},
journal= {arXiv preprint arXiv:1707.00504},
year = {2017}
}