Existence of traveling waves for the nonlocal Burgers equation

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dc.creatorChmaj, Adam
dc.date2006-03-27
dc.date.accessioned2026-07-07T07:06:22Z
dc.date.available2026-07-07T07:06:22Z
dc.descriptionWe 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.
dc.description5 pages, submitted to Applied Mathematics Letters
dc.identifierhttps://arxiv.org/abs/math-ph/0603070
dc.identifierhttp://arxiv.org/abs/math-ph/0603070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110002
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleExistence of traveling waves for the nonlocal Burgers equation
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