数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 296-304.

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一维非单调流体模型在H2中解的整体存在性

  


  1. 1. Department of Mathematics, Huanghuai College  2. Department of Basic Science, Sanmenxia Vocational and Technical College 
  • 收稿日期:2006-02-02 出版日期:2007-06-30 发布日期:2023-11-07
  • 作者简介:WU Zhong-lin(1972-),male,native of Zhengyang,Henan,a lecturer of Huanghuai College, M.S.D.,engage in nonlinear PDFs.
  • 基金资助:
     Supported by the NNSF of China(10571024)；

Global Existence in H² for a 1-d Non-monotone Fluid


  1. 1. Department of Mathematics, Huanghuai College  2. Department of Basic Science, Sanmenxia Vocational and Technical College 

  • Received:2006-02-02 Online:2007-06-30 Published:2023-11-07
  • About author:WU Zhong-lin(1972-),male,native of Zhengyang,Henan,a lecturer of Huanghuai College, M.S.D.,engage in nonlinear PDFs.
  • Supported by:
     Supported by the NNSF of China(10571024)；

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摘要：
In this paper, we prove the existence in H+2, an incomplete metric subspace of H2×H2×H2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domain Ω=(0,1). The results in this paper have improved those previously related results.

关键词: non-monotone fuid, mixed free boundary model, global existence, priori esti
mates

Abstract: In this paper, we prove the existence in H+2, an incomplete metric subspace of H2×H2×H2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domain Ω=(0,1). The results in this paper have improved those previously related results.

Key words: non-monotone fuid, mixed free boundary model, global existence, priori esti
mates

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