Nonstationary three-dimensional contrasting structures

被引:0
作者
Bykov A.A. [1 ]
Maikov A.R. [1 ]
Popov V.Yu. [1 ]
机构
[1] Faculty of Physics, Moscow State University, Leninskie Gory, Moscow
关键词
Contrasting structure; Singularly perturbed boundary value problem;
D O I
10.1134/S0965542507010071
中图分类号
学科分类号
摘要
Three-dimensional contrasting structures (CS) occurring in nonlinear diffusion problems with generation are considered assuming that the generation coefficient depends on the concentration. Conditions under which a CS occupying a nonconvex domain in the three-dimensional space disintegrates into several isolated parts in the course of evolution are formulated. This property distinguishes three-dimensional CSs from the two-dimensional ones; the surface of the latter does not change its connectivity until the structure completely disappears. © Nauka/Interperiodica 2007.
引用
收藏
页码:62 / 64
页数:2
相关论文
共 12 条
[1]  
Bykov A.A., Popov V.Y., On the Lifetime of One-Dimensional Transient Contrast Structures, Zh. Vychisl. Mat. Mat. Fiz, 39, pp. 280-288, (1999)
[2]  
Math, Math. Phys, 39, pp. 266-273, (1999)
[3]  
Bykov A.A., Popov V.Y., A One-Dimensional Unsteady Contrast Structure in an Inhomogeneous Medium, Zh. Vychisl. Mat. Mat. Fiz, 39, pp. 458-471, (1999)
[4]  
Math, Math. Phys, 39, pp. 435-447, (1999)
[5]  
Bykov A.A., Vl, Val, Voevodin, Kozyreva O.V., Evolution of Two-Dimensional Contrast Structures of Complex Form, Zh. Vychisl. Mat. Mat. Fiz, 39, pp. 801-811, (1999)
[6]  
Math, Math. Phys, 39, pp. 769-778, (1999)
[7]  
Ruzmaikin A.A., Shukurov A.M., Sokoloff D.D., Magnetic Fields of Galaxies, (1988)
[8]  
Vasil'eva A.B., Butuzov V.F., Asymptotic Methods in Singular Perturbation Theory, (1990)
[9]  
Vasil'eva A.B., On the Stability of Contrast Structures, Mat. Modelir, 3, 4, pp. 114-123, (1991)
[10]  
Vasil'eva A.B., Step-like Contrast Structures for a Singularly Perturbed Quasilinear Second-Order Differential Equation, Zh. Vychisl. Mat. Mat. Fiz, 35, 4, pp. 520-531, (1995)