3 papers
math.AP2025
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
Guopeng Li, Liying Tao, Tengfei Zhao
We consider the Cauchy problem for the stochastic Hartree nonlinear wave equations (SHNLW) with a cubic convolution nonlinearity and an additive stochastic forcing on the Euclidean…
math.PR2025
Critical threshold for weakly interacting log-correlated focusing Gibbs measures
Damiano Greco, Tadahiro Oh, Liying Tao +1
We study log-correlated Gibbs measures on the -dimensional torus with weakly interacting focusing quartic potentials whose coupling constants tend to as we remove regulariza…
math.AP2025
Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus
Guopeng Li, Mamoru Okamoto, Liying Tao
We study the Cauchy problem of the defocusing energy-critical stochastic nonlinear Schrödinger equation (SNLS) on the three dimensional torus, forced by an additive noise. We adap…