ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS-MEDIUM

被引：31

作者：

AMES, KA ^{[1
]}

PAYNE, LE ^{[1
]}

机构：

[1] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1994年 / 4卷 / 05期

关键词：

D O I：

10.1142/S0218202594000406

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Continuous dependence on modeling results are derived for an ill-posed problem describing penetrative convection in a porous medium. Using a logarithmic convexity argument, we show that solutions to the governing equations backward in time depend Holder continuously on changes in the form of the buoyancy law provided they satisfy certain constraints.

引用

页码：733 / 740

页数：8

共 13 条

[1]

ADELSON L, 1973, SIAM J MATH ANAL, V4, P344

[2] SINGULAR PERTURBATION OF AN IMPROPERLY POSED CAUCHY-PROBLEM [J].