Existence and numerical approximation of periodic motions of an infinite lattice of particles

被引：18

作者：

Arioli, G ^{[1
]}

Gazzola, F ^{[1
]}

机构：

[1] DIPARTIMENTO SCI TA,I-15100 ALESSANDRIA,ITALY

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1995年 / 46卷 / 06期

关键词：

D O I：

10.1007/BF00917876

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of periodic motions of an infinite lattice of particles: the proof involves the study of periodic motions for finite lattices by a linking technique and the passage to the limit by means of Lions' concentration-compactness principle. We also give a numerical picture of the motion of some finite lattices and of the way the solutions for finite lattices approach the solution for the infinite lattice by a technique developed by Choi and McKenna [6].

引用

页码：898 / 912

页数：15

共 12 条

[1]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[2]

ARIOLI G, IN PRESS NONLINEAR A

[3]

ARIOLI G, IN PRESS MATH Z

[4] CRITICAL-POINT THEOREMS FOR INDEFINITE FUNCTIONALS [J].