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Asymptotic expansions for a class of singular integrals emerging in non-linear wave systems

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Publication:6411196
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DOI10.1134/S0040577923020010zbMath1528.41082arXiv2209.08943MaRDI QIDQ6411196

A. V. Dymov

Publication date: 19 September 2022



Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)




Cites Work

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  • Weakly nonlinear Schrödinger equation with random initial data
  • Wave turbulence.
  • One approach to the computation of asymptotics of integrals of rapidly varying functions
  • Asymptotic expansions for some integrals of quotients with degenerated divisors
  • Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation
  • Formal expansions in stochastic model for wave turbulence. I: Kinetic limit
  • The large-period limit for equations of discrete turbulence
  • Full derivation of the wave kinetic equation
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