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Title: 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.
Authors:
; ;  [1]
  1. Department of Mathematics and CNS, Northwest University, Xi'an 710127 (China)
Publication Date:
OSTI Identifier:
22251761
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATION; MATHEMATICAL SOLUTIONS; PERIODICITY; VACUUM STATES