Global Existence of Smooth Solutions for the One-Dimensional Full Euler System for a Dusty Gas
- Resource Type
- Original Paper
- Authors
- Lai, Geng; Shi, Yingchun
- Source
- Communications on Applied Mathematics and Computation. 5(3):1235-1246
- Subject
- Compressible Euler system
Dusty gas
Classical solution
The method of characteristic decomposition
Primary: 35L65
Secondary: 35L60
35L67
- Language
- English
- ISSN
- 2096-6385
2661-8893
We study the existence of global-in-time classical solutions for the one-dimensional nonisentropic compressible Euler system for a dusty gas with large initial data. Using the characteristic decomposition method proposed by Li et al. (Commun Math Phys 267: 1–12, 2006), we derive a group of characteristic decompositions for the system. Using these characteristic decompositions, we find a sufficient condition on the initial data to ensure the existence of global-in-time classical solutions.