Existence of solutions to rigid body dynamics and the Painleve paradoxes

被引：32

作者：

Stewart, DE

机构：

[1] TEXAS A&M UNIV,DEPT MATH,COLLEGE STN,TX 77843

[2] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 325卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(97)84784-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of solutions of rigid body dynamics with impact, shock and Coulomb friction in the sense of measure differential inclusions is announced. For the first time, such results include the famous counter-examples of Painleve. The resolution of the paradox involves impulsive forces without collisions, and the use of the post-impact time in the formulation of Coulomb's law.

引用

页码：689 / 693

页数：5

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