Stability of the combustion wave in a viscoelastic medium to small one-dimensional perturbations

被引:0
作者
A. G. Knyazeva
S. N. Sorokova
机构
[1] Russian Academy of Sciences,Institute of Strength Physics and Material Science, Siberian Division
来源
Combustion, Explosion and Shock Waves | 2006年 / 42卷
关键词
combustion wave; stability; method of small perturbations; time of relaxation of viscous stresses;
D O I
暂无
中图分类号
学科分类号
摘要
The problem of stability of the conversion front in a viscoelastic medium is formulated. The stability study is performed by the method of small perturbations. Nonlinear equations are derived for decrements of decay and complex frequency. Several particular cases are analyzed. A significant effect of the time of relaxation of viscous stresses on the flammability limits for both high-velocity and low-velocity regimes is demonstrated.
引用
收藏
页码:411 / 420
页数:9
相关论文
共 50 条
[21]   Existence and stability of localized modes in one-dimensional nonlinear lattices [J].
Yoshimura, Kazuyuki .
NONLINEAR ACOUSTICS: STATE-OF-THE-ART AND PERSPECTIVES (ISNA 19), 2012, 1474 :60-63
[22]   Mesa-type patterns in the one-dimensional Brusselator and their stability [J].
Kolokolnikov, T ;
Erneux, T ;
Wei, J .
PHYSICA D-NONLINEAR PHENOMENA, 2006, 214 (01) :63-77
[23]   STABILITY AND SYMMETRY IN THE NAVIER PROBLEM FOR THE ONE-DIMENSIONAL WILLMORE EQUATION [J].
Deckelnick, Klaus ;
Grunau, Hans-Christoph .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (05) :2055-2076
[25]   Exponential Stability of a One-Dimensional Thermoviscoelastic System with Memory Type [J].
Wang Jing ;
Wang Jun-Min .
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, :1258-1263
[26]   Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations [J].
Daniele Garrisi .
Journal of Fixed Point Theory and Applications, 2023, 25
[27]   One-dimensional model for the unsteady flow of a generalized third-grade viscoelastic fluid [J].
Carapau, F. ;
Correia, P. ;
Rabczuk, T. ;
Areias, P. .
NEURAL COMPUTING & APPLICATIONS, 2020, 32 (16) :12881-12894
[28]   A Global Bifurcation and the Appearance of a One-Dimensional Spiral Wave in Excitable Media [J].
Cytrynbaum, Eric N. ;
Lewis, Timothy J. .
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2009, 8 (01) :348-370
[29]   Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein-Gordon equations [J].
Garrisi, Daniele .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2023, 25 (02)
[30]   Stability of a one-dimensional morphoelastic model for post-burn contraction [J].
Egberts, Ginger ;
Vermolen, Fred ;
van Zuijlen, Paul .
JOURNAL OF MATHEMATICAL BIOLOGY, 2021, 83 (03)