1,510 research outputs found
An invariant in shock clustering and Burgers turbulence
1-D scalar conservation laws with convex flux and Markov initial data are now
known to yield a completely integrable Hamiltonian system. In this article, we
rederive the analogue of Loitsiansky's invariant in hydrodynamic turbulence
from the perspective of integrable systems. Other relevant physical notions
such as energy dissipation and spectrum are also discussed.Comment: 11 pages, no figures; v2: corrections mad
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