The global classical solution to compressible Euler system with velocity alignment
Analysis of PDEs
2019-12-04 v1
Abstract
In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initial data is provided.
Cite
@article{arxiv.1912.01374,
title = {The global classical solution to compressible Euler system with velocity alignment},
author = {Lining Tong and Li Chen and Simone Göttlich and Shu Wang},
journal= {arXiv preprint arXiv:1912.01374},
year = {2019}
}
Comments
16 pages