White noise for KdV and mKdV on the circle

zbMath1211.35243arXiv1007.1954MaRDI QIDQ3081708

Tadahiro Oh

Publication date: 9 March 2011

Full work available at URL: https://arxiv.org/abs/1007.1954

zbMATH Keywords

invariant measurewhite noiseKdVmKdVcubic NLS

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (8)

Invariance of the Gibbs measure for the periodic quartic gKdV ⋮ Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations ⋮ Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\) ⋮ Interpolation of Gibbs measures with white noise for Hamiltonian PDE ⋮ Global dynamics for the stochastic KdV equation with white noise as initial data ⋮ Solving the 4NLS with white noise initial data ⋮ Invariant Gibbs dynamics for the dynamical sine-Gordon model ⋮ Invariance of white noise for KdV on the line

This page was built for publication: White noise for KdV and mKdV on the circle