Journal article
Analysis of non-isentropic compressible Euler equations with relaxation
Journal of Differential Equations, Vol.259(11), pp.6338-6367
12/05/2015
DOI: 10.1016/j.jde.2015.07.023
Abstract
This paper is contributed to the study of the one-dimensional non-isentropic compressible Euler equations with relaxation. It is shown that classical solutions do not exist globally-in-time under general conditions on initial data. Indeed, finite-time blowup occurs in a quantity related to the first moment. On the other hand, when the initial datum is sufficiently close to a constant equilibrium state, it is shown that the equations possess a unique global-in-time classical solution, and the solution converges to the equilibrium state in the long-time run. When the domain is finite, the convergence rate is shown to be exponential, due to boundary effects.
Details
- Title: Subtitle
- Analysis of non-isentropic compressible Euler equations with relaxation
- Creators
- Tong Li - University of IowaKun Zhao - Tulane University
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.259(11), pp.6338-6367
- DOI
- 10.1016/j.jde.2015.07.023
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/100006952, name: Louisiana Board of Regents, award: LEQSF(2015-18)-RD-A-24; DOI: 10.13039/100005714, name: EPSCoR, award: LEQSF-EPS(2014)-PFUND-379; DOI: 10.13039/100007875, name: Tulane University
- Language
- English
- Date published
- 12/05/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984240768902771
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