18 citations · 20 across the 8 of their papers we have counts for
9 papers
Refined global well-posedness for the periodic modulated Korteweg-de Vries equation
Damiano Greco, Massimiliano Gubinelli, Shao Liu +1
We revisit the pathwise global well-posedness issue of the modulated Korteweg-de Vries equation (KdV) on the circle. In the previous work (2024), by combining the -method and th…
Nonlinear PDEs with modulated dispersion III: multiplicative noises
Andreia Chapouto, Massimiliano Gubinelli, Guopeng Li +2
We investigate pathwise well-posedness of the stochastic modulated Korteweg-de Vries equation (KdV) on the circle with a multiplicative noise, where a time non-homogeneous modulati…
On the weak coupling limit of the periodic quantum Lorentz gas
Massimiliano Gubinelli, Vishnu Sanjay
We report partial progress on the weak coupling limit behavior of observables for the periodic quantum Lorentz gas. Our results indicate that for certain observables, the limit beh…
Large field problem in coercive singular PDEs
Ilya Chevyrev, Massimiliano Gubinelli
We derive a priori estimates for singular differential equations of the form \[ \mathcal{L} ϕ= P(ϕ,\nablaϕ) + f(ϕ,\nablaϕ)ξ\] where is a polynomial, is a sufficiently well-…
Nonlinear PDEs with modulated dispersion IV: normal form approach and unconditional uniqueness
Massimiliano Gubinelli, Guopeng Li, Jiawei Li +1
We study the modulated Korteweg-de~Vries equation (KdV) on the circle with a time non-homogeneous modulation acting on the linear dispersion term. By adapting the normal form appro…
A simple construction of the sine-Gordon model via stochastic quantization
Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh +1
We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4π$), in both the finite and infinite volume settings, by studying the correspon…