Neumann problem on the semi-line for the Burgers equation
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
Boundary Value Problems 2011, 2011:34 doi:10.1186/1687-2770-2011-34Published: 14 October 2011
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.