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Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions

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  • Le Thi Phuong Ngoc
  • Le Huu Ky Son
  • Tran Minh Thuyet
  • Nguyen Thanh Long

Abstract

This paper is devoted to the study of a nonlinear Carrier wave equation in an annular membrane associated with Robin-Dirichlet conditions. Existence and uniqueness of a weak solution are proved by using the linearization method for nonlinear terms combined with the Faedo-Galerkin method and the weak compact method. Furthermore, an asymptotic expansion of a weak solution of high order in a small parameter is established.

Suggested Citation

  • Le Thi Phuong Ngoc & Le Huu Ky Son & Tran Minh Thuyet & Nguyen Thanh Long, 2016. "Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-18, October.
    • Handle: RePEc:hin:jnlmpe:8031638
    DOI: 10.1155/2016/8031638
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