On turbulence in nonlinear Schrödinger equations

DOI10.1007/s000390050026zbMath0912.35143OpenAlexW1985201728MaRDI QIDQ1380494

Sergej B. Kuksin

Publication date: 2 December 1998

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000390050026

zbMATH Keywords

Dirichlet boundary conditionsexistence of turbulencelength-scale of a solutionsmall-dispersion and small-diffusion nonlinear Schrödinger equationzero-meanvalue random field

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (14)

Sobolev norms explosion for the cubic NLS on irrational tori ⋮ Sharp estimates for turbulence in white-forced generalised Burgers equation ⋮ Decaying turbulence for the fractional subcritical Burgers equation ⋮ Full derivation of the wave kinetic equation ⋮ Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation ⋮ Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation ⋮ A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation ⋮ Decaying turbulence in the generalised Burgers equation ⋮ On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations ⋮ Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation ⋮ Stochastic turbulence for Burgers equation driven by cylindrical Lévy process ⋮ Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon ⋮ Burgers turbulence in 1D: a case model for Kolmogorov's theory ⋮ Multidimensional potential Burgers turbulence

This page was built for publication: On turbulence in nonlinear Schrödinger equations