Scalar conservation laws with monotone pure-jump Markov initial conditions

DOI10.1007/s00440-015-0648-2zbMath1345.60056arXiv1502.04795OpenAlexW3106122691WikidataQ60111140 ScholiaQ60111140MaRDI QIDQ737322

David C. Kaspar, Fraydoun Rezakhanlou

Publication date: 10 August 2016

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04795

zbMATH Keywords

Markov jump processesrandom initial datascalar conservation laws

Mathematics Subject Classification ID

Related Items (8)

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 ⋮ 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 ⋮ Kinetic statistics of scalar conservation laws with piecewise-deterministic Markov process data ⋮ 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

Cites Work

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• Sticky particle dynamics with interactions
• Kinetic theory and Lax equations for shock clustering and Burgers turbulence
• A finite dimensional integrable system arising in the study of shock clustering
• Statistics of shocks in solutions of inviscid Burgers equation
• Burgers equation with initial conditions of homogeneous and independent increments
• The inviscid Burgers equation with Brownian initial velocity
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Clustering statistics for sticky particles with Brownian initial velocity
• Markovian solutions of inviscid Burgers equation
• Statistical properties of shocks in Burgers turbulence
• Lesser known miracles of Burgers equation
• Complete integrability of shock clustering and Burgers turbulence
• Universality classes in Burgers turbulence
• Lipschitz minorants of Brownian motion and Lévy processes
• Airy distribution function: from the area under a Brownian excursion to the maximal height of fluctuating interfaces
• Splitting times and shift functionals
• Sticky Particles and Scalar Conservation Laws
• The partial differential equation u_t + uu_x = μ_xx

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