Mathematical models for phase change problems with hysteresis effect

被引:5
作者
Aiki, T. [2 ]
Minchev, E. [3 ]
Okazaki, T. [1 ]
机构
[1] Chiba Univ, Dept Math, Fac Educ, Inage Ku, Chiba 2638522, Japan
[2] Gifu Univ, Dept Math, Fac Educ, Gifu 5011193, Japan
[3] Waseda Univ, Sch Sci & Engn, Dept Appl Phys, Shinjuku Ku, Tokyo 1698555, Japan
基金
日本学术振兴会;
关键词
Hysteresis;
D O I
10.1016/j.na.2005.03.089
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper deals with a phase change problem which includes hysteresis effect. The system under consideration could be applied to various biological models by choosing appropriate conditions. Numerical simulations of the behaviour of solutions are presented. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:E1185 / E1198
页数:14
相关论文
共 9 条
[1]  
[Anonymous], ADV MATH SCI APPL
[2]  
[Anonymous], POPULATION MODEL VEC
[3]  
[Anonymous], PREY PREDATOR MODEL
[4]  
[Anonymous], ABSTR APPL ANAL
[5]  
Kenmochi N., 2004, ADV MATH SCI APPL, V14, P633
[6]   MATHEMATICAL-MODELS FOR HYSTERESIS [J].
MACKI, JW ;
NISTRI, P ;
ZECCA, P .
SIAM REVIEW, 1993, 35 (01) :94-123
[7]  
Mayergoyz I D., 1991, Mathematical Models of Hysteresis
[8]  
MINCHEV E, 2004, ADV MATH SCI APPL, V14, P187
[9]  
Visintin A., 1994, DIFFERENTIAL MODELS, V111, DOI 10.1007/978-3-662-11557-2