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

• Articles • Previous Articles     Next Articles

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

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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