Hamilton-Jacobi methods for vakonomic mechanics

被引：11

作者：

Gomes, Diogo Aguiar ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2007年 / 14卷 / 3-4期

关键词：

mother theory; Hamilton-Jacobi equations; vakonomic mechanics;

D O I：

10.1007/s00030-007-5012-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the theory of Aubry-Mather measures to Hamiltonian systems that arise in vakonomic mechanics and sub-Riemannian geometry. We use these measures to study the asymptotic behavior of (vakonomic) action-minimizing curves, and prove a bootstrapping result to study the partial regularity of solutions of convex, but not strictly convex, Hamilton-Jacobi equations.

引用

页码：233 / 257

页数：25

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