Flame propagation in one-dimensional stationary ergodic media

被引：4

作者：

Caffarelli, L. A. ^{[1
]}

Lee, K. -A.

Mellet, A.

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Seoul Natl Univ, Dept Math, Seoul, South Korea

[3] Univ British Columbia, Dept Math, Vancouver, BC V5Z 1M9, Canada

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2007年 / 17卷 / 01期

基金：

美国国家科学基金会;

关键词：

random homogenization; singular limit; fronts propagation;

D O I：

10.1142/S0218202507001863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates front propagation in random media for a free boundary problem arising in combustion theory. We show the existence of asymptotic traveling waves solutions with effective speed depending only on the essential infimum of the combustion rate. This result generalizes a previous result of the same authors in the periodic case.

引用

页码：155 / 169

页数：15

共 50 条

[1] ON THE THEORY OF ONE-DIMENSIONAL FLAME PROPAGATION
ADAMSON, TC
[J]. JOURNAL OF THE AMERICAN ROCKET SOCIETY, 1952, 22 (01): : 38 - 39
[2] ON THE EQUATIONS OF ONE-DIMENSIONAL UNSTEADY FLAME PROPAGATION
LARROUTUROU, B
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 304 (03): : 55 - 58
[3] PROPAGATION IN ONE-DIMENSIONAL RANDOM MEDIA
ROWE, HE
[J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1971, MT19 (01) : 73 - &
[4] ONE-DIMENSIONAL LAMINAR FLAME PROPAGATION WITH AN ENTHALPY GRADIENT
ADLER, J
SPALDING, DB
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1961, 261 (1304) : 53 - +
[5] BOUNDARY CONDITIONS IN THE THEORY OF ONE-DIMENSIONAL FLAME PROPAGATION
EMMONS, HW
[J]. JOURNAL OF THE AMERICAN ROCKET SOCIETY, 1952, 22 (02): : 97 - 97
[6] ONE-DIMENSIONAL LAMINAR FLAME PROPAGATION WITH AN ENTHALPY GRADIENT
SPALDING, DB
ADLER, J
[J]. COMBUSTION AND FLAME, 1960, 4 (01) : 94 - 95
[7] FLAME PROPAGATION IN A ONE-DIMENSIONAL LIQUID FUEL SPRAY
POLYMEROPOULOS, CE
[J]. COMBUSTION SCIENCE AND TECHNOLOGY, 1974, 9 (5-6) : 197 - 207
[8] THE PROPAGATION OF WAVES IN ONE-DIMENSIONAL PERIODIC MEDIA
KOROTYAEV, EL
[J]. DOKLADY AKADEMII NAUK, 1994, 336 (02) : 171 - 174
[9] COMMENTS ON ADAMSON LETTER ON THE THEORY OF ONE-DIMENSIONAL FLAME PROPAGATION
HIRSCHFELDER, JO
CURTISS, CF
[J]. JOURNAL OF THE AMERICAN ROCKET SOCIETY, 1952, 22 (02): : 97 - 98
[10] THE EQUATIONS OF ONE-DIMENSIONAL UNSTEADY FLAME PROPAGATION - EXISTENCE AND UNIQUENESS
LARROUTUROU, B
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (01) : 32 - 59

← 1 2 3 4 5 →