Diffusion induced instability

被引：8
作者：
Markenscoff, X [1 ]
机构：
[1] Univ Calif San Diego, Dept Appl Mech Engn Sci, La Jolla, CA 92093 USA
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2001年 / 59卷 / 01期
关键词：
D O I：
10.1090/qam/1811099
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that a coupled mechanochemical system can be stable under no diffusion and unstable with the addition of diffusion.
引用
收藏
页码：147 / 151
页数：5
相关论文
共 50 条
[41]   Experimental study of buoyancy-induced instability in the DME and LPG jet diffusion flame [J].
Nayak, G. Mahesh ;
Kolhe, Pankaj ;
Balusamy, Saravanan .
FUEL, 2021, 291 (291)
[42]   Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control [J].
Brock, William ;
Xepapadeas, Anastasios .
JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2008, 32 (09) :2745-2787
[43]   Diffusion-induced modulational instability in magnetised semiconductor plasmas: effect of carrier heating [J].
Nimje, N. ;
Dubey, S. ;
Ghosh, S. K. .
EUROPEAN PHYSICAL JOURNAL D, 2010, 59 (02) :223-231
[44]   Turing instability induced by complex networks in a reaction- diffusion information propagation model [J].
He, Le ;
Zhu, Linhe ;
Zhang, Zhengdi .
INFORMATION SCIENCES, 2021, 578 :762-794
[45]   Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure [J].
Fu, Shengmao ;
Zhang, Lina .
JOURNAL OF APPLIED MATHEMATICS, 2012,
[46]   Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model [J].
Liu, Haicheng ;
Yuan, Wenshuo ;
Ge, Bin ;
Shen, Jihong .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024, 17 (04)
[47]   A necessary condition for the emergence of diffusion instability in media with nonclassical diffusion [J].
V. P. Shkilev .
Journal of Experimental and Theoretical Physics, 2010, 110 :162-169
[48]   Turing Instability in Reaction-Diffusion Systems with Nonlinear Diffusion [J].
Zemskov, E. P. .
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2013, 117 (04) :764-769
[49]   Diffusion-driven instability in reaction-diffusion systems [J].
Wang, LC ;
Li, MY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 254 (01) :138-153
[50]   Turing instability in reaction-diffusion systems with nonlinear diffusion [J].
E. P. Zemskov .
Journal of Experimental and Theoretical Physics, 2013, 117 :764-769
12345