Kinetic theory and Lax equations for shock clustering and Burgers turbulence

DOI10.1007/s10955-010-0028-3zbMath1426.76205arXiv0909.4036OpenAlexW3099505288MaRDI QIDQ643717

Ravi Srinivasan, Govind K. Menon

Publication date: 2 November 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4036

zbMATH Keywords

integrable systemskinetic theoryBurgers turbulencestochastic coalescenceshock clustering

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Shock waves and blast waves in fluid mechanics (76L05)

Related Items (13)

Scalar conservation laws with white noise initial data ⋮ A survey of results on conservation laws with deterministic and random initial data ⋮ Hierarchies of \(n\)-point functions for nonlinear conservation laws with random initial data ⋮ The Airy function is a Fredholm determinant ⋮ Random tessellations and Gibbsian solutions of Hamilton-Jacobi equations ⋮ An exact discretization of a Lax equation for shock clustering and Burgers turbulence. I: Dynamical aspects and exact solvability ⋮ Structure of shocks in Burgers turbulence with Lévy noise initial data ⋮ Kinetic statistics of scalar conservation laws with piecewise-deterministic Markov process data ⋮ Complete integrability of shock clustering and Burgers turbulence ⋮ Scalar conservation laws with monotone pure-jump Markov initial conditions ⋮ A finite dimensional integrable system arising in the study of shock clustering ⋮ Minimization solutions to conservation laws with non-smooth and non-strictly convex flux ⋮ A minimization approach to conservation laws with random initial conditions and non-smooth, non-strictly convex flux

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