QUASI-PERIODIC WAVES AND THE TRANSFER OF STABILITY IN CONDENSED-PHASE SURFACE COMBUSTION

被引：8
|
作者：
GARBEY, M
KAPER, HG
LEAF, GK
MATKOWSKY, BJ
机构：
[1] UNIV CLAUDE BERNARD LYON 1,ANAL NUMER LAB,VILLEURBANNE,FRANCE
[2] NORTHWESTERN UNIV,DEPT ENGN SCI & APPL MATH,EVANSTON,IL 60208
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 02期
关键词：
COMBUSTION; BIFURCATION; TRAVELING WAVES; STANDING WAVES; TRANSITION OF STABILITY; QUASI-PERIODIC WAVES;
D O I：
10.1137/0152021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with the structure and stability properties of a combustion front propagating in the axial direction along the outer surface of a cylindrical solid fuel element. A nonlinear analysis is given that explains the occurrence of spinning and standing wave patterns as bifurcations from a uniformly propagating plane circular front. Particular attention is given to a stability transfer mechanism between standing and spinning waves by means of quasi-periodic waves.
引用
收藏
页码：384 / 395
页数：12
相关论文
共 50 条
  • [1] SPIRAL GASLESS CONDENSED-PHASE COMBUSTION
    MATKOWSKY, BJ
    VOLPERT, V
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (01) : 132 - 146
  • [2] SURFACE ELECTROMAGNETIC-WAVES IN QUASI-PERIODIC SUPERLATTICES
    GOLINEY, IY
    RUDKO, VN
    PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1989, 156 (01): : 211 - 223
  • [3] Quasi-periodic water waves
    Massimiliano Berti
    Riccardo Montalto
    Journal of Fixed Point Theory and Applications, 2017, 19 : 129 - 156
  • [4] Quasi-periodic water waves
    Berti, Massimiliano
    Montalto, Riccardo
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (01) : 129 - 156
  • [5] USING MAPLE FOR THE ANALYSIS OF BIFURCATION PHENOMENA IN CONDENSED-PHASE SURFACE COMBUSTION
    GARBEY, M
    KAPER, HG
    LEAF, GK
    MATKOWSKY, BJ
    JOURNAL OF SYMBOLIC COMPUTATION, 1991, 12 (01) : 89 - 113
  • [6] NONRECIPROCAL PROPAGATION OF SURFACE-WAVES IN QUASI-PERIODIC SUPERLATTICES
    JOHNSON, BL
    CAMLEY, RE
    PHYSICAL REVIEW B, 1991, 44 (03): : 1225 - 1231
  • [7] Condensed-phase modifications in magnesium particle combustion in air
    Dreizin, EL
    Berman, CH
    Vicenzi, EP
    COMBUSTION AND FLAME, 2000, 122 (1-2) : 30 - 42
  • [8] A quasi-periodic minimal surface
    Mazet, Laurent
    Traizet, Martin
    COMMENTARII MATHEMATICI HELVETICI, 2008, 83 (03) : 573 - 601
  • [9] Combustion of Energetic Materials Controlled by Condensed-Phase Reactions
    Sinditskii, V. P.
    Egorshev, V. Yu
    Serushkin, V. V.
    Filatov, S. A.
    COMBUSTION EXPLOSION AND SHOCK WAVES, 2012, 48 (01) : 81 - 99
  • [10] Waves on chains: periodic, clustered, and quasi-periodic arrangements
    Mazor, Y.
    Hadad, Y.
    Steinberg, B. Z.
    2014 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2014, : 663 - 666
12345