TIAN Li-xin, ZHAO Zhi-feng, WANG Jing-feng. Boundary Control of MKdV-Burgers Equation[J]. Applied Mathematics and Mechanics, 2006, 27(1): 98-104.
Citation: TIAN Li-xin, ZHAO Zhi-feng, WANG Jing-feng. Boundary Control of MKdV-Burgers Equation[J]. Applied Mathematics and Mechanics, 2006, 27(1): 98-104.

Boundary Control of MKdV-Burgers Equation

  • Received Date: 2004-02-08
  • Rev Recd Date: 2005-09-12
  • Publish Date: 2006-01-15
  • The boundary control of MKdV_Burgers equation was considered by feedback control on the domain[0,1].The existence of the solution of MKdV_Burgers equation with the feedback control law was proved.On the base,priori estimates for the solution was given.At last,the existence of the weak solution of MKdV_Burgers equation was proved and global_exponential and asymptotic stability of the solution of MKdV_Burgers equation was given.
  • loading
  • [1]
    Russell D L,Zhang B Y.Exact controllability and stabilizability of the Korteweg-de Vries equation[J].Trans Amer Math,1996,348(9):3643—3672. doi: 10.1090/S0002-9947-96-01672-8
    [2]
    Naumkin P I,Shishmarev I A.On the decay of step-like data for the Korteweg-de-Vries-Burgers equation[J].Funktsional.Anal.Prilozhen,1992,26(2):88—93.
    [3]
    LIU Wei-jiu,Miroslav Krstic.Global boundary stabilization of the Korteweg-de Vries Burgers equation[J].Computational and Applied Math,2002,21(1):315—354.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2482) PDF downloads(753) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return