Generic singularities in solutions of the shallow water equations
type: Item
instance of: scholarly article
title: Generic singularities in solutions of the shallow water equations
zbMATH Open document ID: 1249.76017
DOI: 10.1134/S1064562412010061
publication date: 2012-07-26T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 6059919
zbMATH Keywords: shallow water flows
zbMATH Keywords: singularities
zbMATH Keywords: Taylor series coefficients
zbMATH Keywords: local method
MaRDI profile type: Publication
published in: Doklady Akademii Nauk
author: B. I. Sulejmanov
review text: This paper is devoted to the construction of an asymptotic solution (in terms of considerations typical for catastrophe theory) to the system of equations of the laminar flow of shallow water by virtue of a local method (similiar to that applied in, e.g., [\textit{V.R. Kudashev} and the author, J. Appl. Math. Mech. 65, No. 3, 441--451 (2001); translation from Prikl. Mat. Mekh. 65, No. 3, 456--466 (2001; Zbl 1010.76505)]).
description: scientific article; zbMATH DE number 6059919