Large-time behavior of periodic solutions to fractal Burgers equation with large initial data

Abstract

The asymptotic behavior of periodic solutions to fractal nonlinear Burgers equation is considered and the initial data are allowed to be arbitrarily large. The exponential decay estimates of the solutions are obtained for the power of Laplacian α ∈ [1/2, 1).

Keywords

Fractal Burgers equation / Large-time behavior / Large initial data / Periodic solution / Exponential decay

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