Open Access Research

Neumann problem on the semi-line for the Burgers equation

Silvana De Lillo1,2 and Matteo Sommacal3*

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Author affiliations

1 Dipartimento di Matematica ed Informatica, Università degli Studi di Perugia, 06123 Perugia, Italy

2 INFN, Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Italy

3 Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette, France

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Citation and License

Boundary Value Problems 2011, 2011:34 doi:10.1186/1687-2770-2011-34

Published: 14 October 2011

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.

Keywords:
Burgers equation; Neumann problem