Existence of global weak solution for a reduced gravity two and a half layer model

Existence of global weak solution for a reduced gravity two and a half layer model

We investigate the existence of global weak solution to a reduced gravity two and a half layer model in one-dimensional bounded spatial domain or periodic domain. Also, we show that any possible vacuum state has to vanish within finite time, then the weak solution becomes a unique strong one.

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Veröffentlicht in:Journal of mathematical physics 2013-12, Vol.54 (12), p.1
Hauptverfasser: Guo, Zhenhua, Li, Zilai, Yao, Lei
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Electron tubes
GRAVITATION
Gravity
MATHEMATICAL SOLUTIONS
PERIODICITY
Physics
Solid solutions
VACUUM STATES
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Zusammenfassung:We investigate the existence of global weak solution to a reduced gravity two and a half layer model in one-dimensional bounded spatial domain or periodic domain. Also, we show that any possible vacuum state has to vanish within finite time, then the weak solution becomes a unique strong one.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4836775