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
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
收藏
页码:155 / 169
页数:15
相关论文
共 50 条
  • [31] A one-dimensional ratio ergodic control problem
    Fujita, Y
    [J]. CONTROL OF DISTRIBUTED PARAMETER AND STOCHASTIC SYSTEMS, 1999, 13 : 207 - 214
  • [32] Ergodic theory for the one-dimensional Jacobi operator
    Nunez, C
    Obaya, R
    [J]. STUDIA MATHEMATICA, 1995, 117 (02) : 149 - 171
  • [33] Families of ergodic and exact one-dimensional maps
    Barnes, Julia
    Hawkins, Jane
    [J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2007, 22 (02): : 203 - 217
  • [34] Propagation of one-dimensional non-stationary waves in viscoelastic half space
    Korovaytseva E.A.
    Pshenichnov S.G.
    Tarlakovskii D.V.
    [J]. Lobachevskii Journal of Mathematics, 2017, 38 (5) : 827 - 832
  • [35] Front propagation and quasi-stationary distributions for one-dimensional Levy processes
    Groisman, Pablo
    Jonckheere, Matthieu
    [J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2018, 23 : 1 - 11
  • [36] APPLICATION OF THE FINITE-ELEMENT METHOD TO ONE-DIMENSIONAL FLAME PROPAGATION PROBLEMS
    LEE, DN
    RAMOS, JI
    [J]. AIAA JOURNAL, 1983, 21 (02) : 262 - 269
  • [38] Shock Propagation in a One-Dimensional Flow Through Deformable Porous Media
    E. Comparini
    M. Ughi
    [J]. Meccanica, 2000, 35 : 119 - 132
  • [39] Matrix method for the study of wave propagation in one-dimensional general media
    Carretero, L.
    Perez-Molina, M.
    Acebal, P.
    Blaya, S.
    Fimia, A.
    [J]. OPTICS EXPRESS, 2006, 14 (23): : 11385 - 11391
  • [40] Optical display of one-dimensional transient wave propagation in dispersive media
    Besieris, IM
    Kim, JH
    Poon, TC
    [J]. INTERNATIONAL JOURNAL OF OPTOELECTRONICS, 1997, 11 (06): : 433 - 438