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On convergence of solutions of fractal Burgers equation toward rarefaction waves
In the paper, the large time behavior of solutions of the Cauchy problem for
the one dimensional fractal Burgers equation with is studied. It is shown that if the
nondecreasing initial datum approaches the constant states ()
as , respectively, then the corresponding solution converges
toward the rarefaction wave, {\it i.e.} the unique entropy solution of the
Riemann problem for the nonviscous Burgers equation.Comment: 15 page
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