DUAL VARIATIONAL PRINCIPLES FOR DIFFUSION EQUATIONS

被引：11

作者：

HERRERA, I

BIELAK, J

机构：

[1] UNIV NACL AUTONOMA MEXICO,CTR RES APPL MATH & SYST,MEXICO CITY,MEXICO

[2] UNIV NACL AUTONOMA MEXICO,INST INGN,MEXICO DF,MEXICO

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1976年 / 34卷 / 01期

关键词：

HEAT TRANSFER - HYDROLOGY;

D O I：

10.1090/qam/467481

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recent advances in the theory of variational methods are summarized and applied to problems of interest in ground water hydrology. The problem of transient flow of ground water is formulated in three alternative fashions and for each reciprocal relations are established. With these, the problems are reformulated in terms of functional-valued operators which are linear and symmetric. Variational principles are then derived. The results are equally applicable to other problems governed by the heat diffusion equation.

引用

页码：85 / 102

页数：18

共 21 条

[1]

[Anonymous], ANN MATEMATICA PURA

[2] NOTE ON KOMKOVS CLASS OF BOUNDARY VALUE PROBLEMS AND ASSOCIATED VARIATIONAL PRINCIPLES [J].