The linear stability of traveling wave solutions for a reacting flow model with source term

被引：4

作者：

Hsiao, L ^{[1
]}

Pan, RH ^{[1
]}

机构：

[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2000年 / 58卷 / 02期

关键词：

linear stability; traveling wave; relaxation approximation; diffusive waves; energy estimates; reacting flow;

D O I：

10.1090/qam/1753396

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a 3 x 3 system for a reacting flow model with a source term in [7]. This model can be considered as a relaxation approximation to 2 x 2 systems of conservation laws, which include the well-known p-system. From this viewpoint, by introducing the new waves through time-asymptotic expansion and using the L-2 energy method, we establish the global existence and the linear stability of traveling wave solutions.

引用

页码：219 / 238

页数：20

共 50 条

[41] Global stability of traveling wave solutions for a discrete diffusion epidemic model with nonlocal delay effects
Yang, Zhi-Jiao
Zhang, Guo-Bao
Tian, Ge
JOURNAL OF MATHEMATICAL PHYSICS, 2025, 66 (02)
[42] EXISTENCE AND STABILITY OF TRAVELING-WAVE SOLUTIONS FOR A POPULATION GENETIC MODEL VIA SINGULAR PERTURBATIONS
DOCKERY, JD
LUI, R
SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (01) : 231 - 248
[43] TRAVELING WAVE SOLUTIONS FOR A DIFFUSIVE SIS EPIDEMIC MODEL
Ding, Wei
Huang, Wenzhang
Kansakar, Siroj
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (05): : 1291 - 1304
[44] Existence of Traveling Wave Solutions for a Model of Tumor Invasion
Harley, K.
van Heijster, P.
Marangell, R.
Pettet, G. J.
Wechselberger, M.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2014, 13 (01): : 366 - 396
[45] BIFURCATIONS OF TRAVELING WAVE SOLUTIONS IN A MICROSTRUCTURED SOLID MODEL
Li, Jibin
Chen, Guanrong
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (01):
[46] TRAVELING WAVE SOLUTIONS FOR A DISCRETE DIFFUSIVE EPIDEMIC MODEL
Fu, Sheng-Chen
Guo, Jong-Shenq
Wu, Chin-Chin
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (09) : 1739 - 1751
[47] Traveling wave solutions in the mathematical model of blood coagulation
Galochkina, T.
Ouzzane, H.
Bouchnita, A.
Volpert, V.
APPLICABLE ANALYSIS, 2017, 96 (16) : 2891 - 2905
[48] Existence of traveling wave solutions for influenza model with treatment
Zhang, Tianran
Wang, Wendi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (01) : 469 - 495
[49] On traveling wave solutions to Manakov model with variable coefficients
Pashrashid, Arash
Gomez, Cesar A. S. A.
Mirhosseini-Alizamini, Seyed M.
Motevalian, Seyed Navid
Albalwi, M. Daher
Ahmad, Hijaz
Yao, Shao-Wen
OPEN PHYSICS, 2023, 21 (01):
[50] Traveling wave solutions of a mathematical model for tumor encapsulation
Sherratt, JA
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (02) : 392 - 407

← 1 2 3 4 5 →