𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Renormalization of the τ-functions for integrable systems: A model problem

✍ Scribed by Michael A. McDonald; Stephanos Venakides

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
553 KB
Volume
51
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

✦ Synopsis

We introduce a renormalization procedure for the τ -function of integrable systems. We illustrate the procedure using the supercritical Toda shock problem as a model problem. We start with a finite chain and take the limit of the solution as the number of particles N → ∞. This results in a new formula for the τ -function for the problem with an infinite chain. We apply the renormalized formula to rederive leading-order effects of the supercritical Toda shock problem.

📜 SIMILAR VOLUMES

A Model of School Counseling Supervision
A Model of School Counseling Supervision: The Goals, Functions, Roles, and Systems Model
✍ Chris Wood; Andrea Dixon Rayle 📂 Article 📅 2006 🏛 American Counseling Association 🌐 English ⚖ 116 KB

The authors outline the Goals, Functions, Roles, and Systems Model (GFRS), a school counseling—specific model for supervising school counselors‐in‐training (SCITs). The GFRS was created as a guide for assisting in supervising and preparing SCITs for the multifaceted tasks they will undertake in thei

The Solution of the Riemann Problem for
The Solution of the Riemann Problem for a Hyperbolic System Modeling Polymer Flooding with Hysteresis
✍ Khaled M. Furati 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 317 KB

It is well known that multiphase flow in porous media exhibits hysteresis. This is typically modeled by modifying the saturation dependence of the relative permeabilities. In this paper, a model for hysteretic relative permeabilities is built into the polymer flooding model and the analytical soluti