๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Renormalization group symmetry and initial value problem for shallow water equations

โœ Scribed by Souichi Murata

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
89 KB
Volume
19
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

โœฆ Synopsis

A new scenario in the renormalization group symmetry method is introduced to solve an initial value problem for a system of partial differential equations. As a specific example, we give an exact solution to the shallow water equations, which describes two-dimensional flow over a flat bottom.

๐Ÿ“œ SIMILAR VOLUMES

Renormalization Group Method Applied to
Renormalization Group Method Applied to Kinetic Equations: Roles of Initial Values and Time
โœ Y. Hatta; T. Kunihiro ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

The so-called renormalization group (RG) method is applied to derive kinetic and transport equations from the respective microscopic equations. The derived equations include the Boltzmann equation in classical mechanics, the Fokker-Planck equation, and a rate equation in a quantum field theoretical

Initial boundary value problem for a sys
Initial boundary value problem for a system of generalized IMBq equations
โœ Guowang Chen; Hongwei Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 157 KB

## Abstract The existence and uniqueness of the global generalized solution and the global classical solution to the initial boundary value problem for a system of generalized IMBq equations are proved. This paper also arrives at some sufficient conditions of blow up of the solution in finite tim