𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Symmetry group analysis of Benney system and an application for shallow-water equations

✍ Scribed by Teoman Özer

Book ID
108206732
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
387 KB
Volume
32
Category
Article
ISSN
0093-6413

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Renormalization group symmetry and initi
Renormalization group symmetry and initial value problem for shallow water equations
✍ Souichi Murata 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 89 KB

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.

AN ENTROPY VARIABLE FORMULATION AND APPL
AN ENTROPY VARIABLE FORMULATION AND APPLICATIONS FOR THE TWO-DIMENSIONAL SHALLOW WATER EQUATIONS
✍ S. W. BOVA; G. F. CAREY 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1015 KB

A new symmetric formulation of the two-dimensional shallow water equations and a streamline upwind Petrov-Galerkm (SUPG) scheme are developed and tested. The symmetric formulation is constructed by means of a transformation of dependent variables derived fkom the relation for the total energy of the