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An invariant in shock clustering and Burgers turbulence
Shock clustering stochastic coalescence kinetic theory integrable systems Loitsiansky invariant
2011/6/15
Abstract: 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 Loitsian...
An invariant in shock clustering and Burgers turbulence
Shock clustering, stochastic coalescence, kinetic theory, Burgers turbulence, integrable systems, Loitsiansky invariant
2011/6/15
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 inva...
Resonance clustering in wave turbulent regimes: Integrable dynamics
Resonance clustering wave turbulent regimes Integrable dynamics
2010/2/26
Two fundamental facts of the modern wave turbulence theory are 1) existence of power energy spectra in $k$-space, and 2) existence of "gaps" in this spectra corresponding to the resonance clustering. ...