The asymptotic behaviour of solutions of forced Burgers equation on the circle
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🧮 math.AP
math.DS
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solutionsasymptoticbehaviourburgerscircleequationforcingperiod
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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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