𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Euler equations and approximations for the minimizers of Heisenberg target

✍ Scribed by Gao Jia; Xiao-Ping Yang

Book ID
103847949
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
222 KB
Volume
67
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we study the Euler equations and derive approximations of the minimizers for a Heisenberg group target. There are some techniques in the arguments for proving the results. This is in order to overcome the obstacles which are due to the nonlinear structure of the group laws.

πŸ“œ SIMILAR VOLUMES

Euler-lagrange equation and regularity f
Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
✍ Peter Hornung πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 764 KB

## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond

A relaxation scheme for the approximatio
A relaxation scheme for the approximation of the pressureless Euler equations
✍ Christophe Berthon; Michael Breuß; Marc-Olivier Titeux πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 281 KB

## Abstract In the present work, we consider the numerical approximation of pressureless gas dynamics in one and two spatial dimensions. Two particular phenomena are of special interest for us, namely δ‐shocks and vacuum states. A relaxation scheme is developed which reliably captures these phenome