Description of water wave dynamics based on differential inclusions
type: Item
instance of: scholarly article
title: Description of water wave dynamics based on differential inclusions
zbMATH Open document ID: 1232.35132
DOI: 10.1134/S1064562411030306
author: Roman Shamin
published in: Doklady Mathematics
publication date: 2012-01-17T00:00:00Z
review text: The author studies the evolution equations, written in conformal variables, governing free-surface unsteady inviscid flows. They represent a system of first-order nonlinear integro-differential equations with two complex-valued functions regarded as unknowns. The equations are approximated using differential inclusions. This approximation makes it possible to estimate the existence time of solutions via numerical calculations and provides a mathematical foundation for verified numerical experiments.
reviewed by: Adrian Carabineanu
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 5998410
zbMATH Keywords: unsteady inviscid flow
zbMATH Keywords: evolution equations
zbMATH Keywords: differential inclusions
zbMATH Keywords: existence time of solutions
MaRDI profile type: Publication
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full work available at URL: s1064562411030306
OpenAlex ID: W2048541688
description: scientific article; zbMATH DE number 5998410