REVIEW 2 cited by
Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We study the nonlinear dynamics of the kinetic wave equation associated to the FPU problem and prove stability of the non-singular Rayleigh-Jeans equilibria. The lack of a spectral gap for the linearized problem leads to polynomial decay, which we are able to leverage to obtain nonlinear stability.
Forward citations
Cited by 2 Pith papers
-
Non-equilibrium steady state for a three-mode energy cascade model
For a three-mode reduced NLS model with stochastic forcing and damping at the boundary modes, the authors construct a unique invariant probability measure with polynomial convergence to the non-equilibrium steady state.
-
Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion
Four-wave kinetic equations with dispersion |p|^a and kernel growth |p|^{2β} in 3D are locally well-posed in weighted L∞ exactly above the decay threshold s_c = 4β + 3 − a/2, with ill-posedness below.
Discussion (0). Continue with ORCID to comment.