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math-phJun 6, 2007
5
citations (OpenAlex)
authors
  • Herbert Spohn
arXiv abstractPDF
paper

On the Boltzmann Equation for Weakly Nonlinear Wave Equations

arXiv:0706.0855

Abstract

We explain how the kinetic theory of L. Boltzmann is applied to weakly nonlinear wave equations.

Boltzmann Proceedings, ESI, 15 pages,1 figure

References in corpus (10)

  • Fermi-Pasta-Ulam β lattice: Peierls equation and anomalous heat conductivity
  • On the quantum Boltzmann equation
  • Energy Transport in Weakly Anharmonic Chains
  • Some Considerations on the derivation of the nonlinear Quantum Boltzmann Equation
  • Joint statistics of amplitudes and phases in Wave Turbulence
  • Non-Equilibrium Statistical Mechanics of Classical Lattice ϕ4 Field Theory
  • Energy transport by acoustic modes of harmonic lattices
  • Collisional invariants for the phonon Boltzmann equation
  • Local stationarity for lattice dynamics in the harmonic approximation
  • Kinetic Equations for Quantum Many-Particle Systems

Cited by in corpus (2)

  • On the derivation of the wave kinetic equation for NLS
  • Graph Hörmander Systems
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