Articles

ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

  • Xumin GU ,
  • Tian-Yi WANG
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  • 1. Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China;
    2. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China;
    3. Gran Sasso Science Institute, viale Francesco Crispi, 7, 67100 L'Aquila, Italy

Received date: 2016-03-23

  Revised date: 2016-10-24

  Online published: 2017-06-25

Supported by

The research of first author was supported in part by NSFC (11601305).The research of second author was supported in part by NSFC (11601401),and the Fundamental Research Funds for the Central Universities (WUT:2017IVA072 and 2017IVB066).

Abstract

In this article, we study irrotational subsonic and subsonic-sonic flows with general conservative forces in the infinity long nozzle. For the subsonic case, the varified Bernoulli law leads a modified cut-off system. Because of the local average estimate, conservative forces do not need any decay condition. Afterwards, the subsonic-sonic limit solutions are constructed by taking the extract subsonic solutions as the approximate sequences.

Cite this article

Xumin GU , Tian-Yi WANG . ON SUBSONIC AND SUBSONIC-SONIC FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE[J]. Acta mathematica scientia, Series B, 2017 , 37(3) : 752 -767 . DOI: 10.1016/S0252-9602(17)30035-8

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