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

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

2003-03-27

arxiv.org/abs/math/0303350v1

Mathematics

Analysis of PDEs

Scientific paper

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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