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N. Kuznetsov, V. Maz’ya and B. Vainberg, “Linear Wa ter Waves: A Mathematical Approach,” Cambridge Uni versity Press, Cambridge, 2002.

has been cited by the following article:

• TITLE: Mathematic Model of Green Function with Two-Dimensional Free Water Surface

  AUTHORS: Sujing Jin, Xing Wang, Junjun Du, Shesheng Zhang, Shengping Jin

  KEYWORDS: Green Function; Free Surface; Ship Hydrodynamics

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8A, July 25, 2013

  ABSTRACT: Adopting complex number theory, a mathematic model of Green function is built for two dimension free water surface, and an analytic expression of Green function is obtained by introducing two parameters. The intrinsic properties of Green function are discussed on vertical line and horizontal line. At last, the derivation expression of Green function is obtained from the formula of Green function.