Formation of singularity for compressible viscoelasticity
Analysis of PDEs
2011-09-08 v1
Abstract
The formation of singularity and breakdown of classical solutions to the three-dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible inviscid elastic fluids, the finite-time formation of singularity in classical solutions is proved for certain initial data. For the compressible viscoelastic fluids, a criterion in term of the temporal integral of the velocity gradient is obtained for the breakdown of smooth solutions.
Keywords
Cite
@article{arxiv.1109.1332,
title = {Formation of singularity for compressible viscoelasticity},
author = {Xianpeng Hu and Dehua Wang},
journal= {arXiv preprint arXiv:1109.1332},
year = {2011}
}