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The asymptotic behaviour of solutions of forced Burgers equation on the circle

Patrick Bernard
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Abstract

We describe the asymptotic behaviour of solutions of unviscid Burgers equation on the circle with time-periodic forcing. These solutions converge to periodic states, but the period of these limit states may be greater than the period of the forcing. We obtain as a corollary a new result on the flow of the associated Hamiltonian system.

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Patrick Bernard. 2003-03-27. The asymptotic behaviour of solutions of forced Burgers equation on the circle. https://arxiv.org/abs/math/0303350

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