Existence of traveling waves for the nonlocal Burgers equation

نویسنده

  • Adam J. J. Chmaj
چکیده

We study the equation ut + uux + u − K * u = 0 in the case of an arbitrary K ≥ 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 [1].

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2007