Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (5): 725-741.

• Articles • 上一篇    下一篇

SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLEM FOR HIGHER ORDER QUASILINEAR ELLIPTCI EQUATION INVOLVING MANY SMALL PARAMETERS

林宗池, 倪守平   

  1. Department of Mathematics, Fujian Normal University
  • 收稿日期:1982-11-11 出版日期:1983-09-18 发布日期:1983-09-18

SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLEM FOR HIGHER ORDER QUASILINEAR ELLIPTCI EQUATION INVOLVING MANY SMALL PARAMETERS

Lin Zong-chi, Ni shou-ping   

  1. Department of Mathematics, Fujian Normal University
  • Received:1982-11-11 Online:1983-09-18 Published:1983-09-18

摘要: In this paper applying M. I. Visik’s and L. R. Lyuster-nik’s[1] asymptotic method and principle of fixed point of functional analysis, we study the singular perturbation of general boundary value problem for higher order quasilinear elliptic equation in the case of boundary perturbation combined with equation perturbation. We prove the existence and uniqueness of solution for perturbed problem. We give its asymptotic approximation and estimation of related remainder term.

关键词: porous medium, two-phase driven, method of lattice Boltzmann (LBM)

Abstract: In this paper applying M. I. Visik’s and L. R. Lyuster-nik’s[1] asymptotic method and principle of fixed point of functional analysis, we study the singular perturbation of general boundary value problem for higher order quasilinear elliptic equation in the case of boundary perturbation combined with equation perturbation. We prove the existence and uniqueness of solution for perturbed problem. We give its asymptotic approximation and estimation of related remainder term.

Key words: porous medium, two-phase driven, method of lattice Boltzmann (LBM)

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