journal6 ›› 2012, Vol. 33 ›› Issue (5): 19-22.DOI: 10.3969/j.issn.1007-2985.2012.05.005

• Mathematics • Previous Articles     Next Articles

Local Structure of the Solutions to One-Dimensional Zero-Pressure Flow Equations


  1. (Department of Mathematics and Physics,North China Electric Power University,BeiJing 102206,China)
  • Online:2012-09-25 Published:2012-11-30

Abstract: This paper is concerned with one-dimensional zero-pressure flow equations.By introducing a potential function and discussing its minimizing point,the following conclusions on the local structure of the solution are drawn for each point (x,t)∈R×(0,∞).When potential function has a uniqe non-degenerate minimizing point,solutions are smooth in the neighborhood of (x,t);When potential function has more than two non-degenerate minimizing points or a uniqe degenerate minimizing point,solutions are discontinuous in the neighborhood of (x,t).

Key words: zero-pressure flow equations, local structure, degenerate point, non-degenerate point

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