Existence of traveling waves for the nonlocal Burgers equation

Details Existence of traveling waves for the nonlocal Burgers equation Existence of traveling waves for the nonlocal Burgers equation

2006-03-27

arxiv.org/abs/math-ph/0603070v1

Physics

Mathematical Physics

5 pages, submitted to Applied Mathematics Letters

Scientific paper

We study the equation $u_t +uu_x +u-K*u=0$ in the case of an arbitrary $K
\geq 0$, which is a generalization of a model for radiating gas, in which
$K(y)={1/2}e^{-|y|}$. Using a monotone iteration scheme argument we establish
the existence of traveling waves, which gives a solution to an open question
raised by Denis Serre.

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