Neumann problem on the semi-line for the Burgers equation

Silvana de Lillo; Matteo Sommacal

doi:10.1186/1687-2770-2011-34

Neumann problem on the semi-line for the Burgers equation

Silvana de Lillo, Matteo Sommacal

Mathematics, Physics and Electrical Engineering

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Abstract

In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time. An explicit solution is discussed as well.

Original language	English
Pages (from-to)	1-10
Journal	Boundary Value Problems
Volume	34
Issue number	1
DOIs	https://doi.org/10.1186/1687-2770-2011-34
Publication status	Published - 2011

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abstract = "In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time. An explicit solution is discussed as well.",

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Neumann problem on the semi-line for the Burgers equation

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