18 citations · 18 across the 7 of their papers we have counts for
9 papers
A remark on pathwise well-posedness of the 1- stochastic heat equation
Yufei Shao, Jiawei Li, Tadahiro Oh
We study pathwise well-posedness of the stochastic heat equation (SHE) with a multiplicative noise on the circle. By combining the convolution Young and rough integration theory, i…
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…
Fourier restriction norm method adapted to controlled paths: stochastic wave equations
Andreia Chapouto, Jiawei Li, Tadahiro Oh
We investigate the pathwise well-posedness issue of the stochastic nonlinear wave equation (SNLW) with a multiplicative noise. While the Ito solution theory (= random field solutio…
A remark on the log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation
Guopeng Li, Jiawei Li, Leonardo Tolomeo
We consider the question of showing a log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation built by Lebowitz-Rose-Speer (1988), formally given by $$ dρ…
Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation
Guopeng Li, Jiawei Li, Tadahiro Oh +1
We investigate a possible extension of probabilistic well-posedness theory of nonlinear dispersive PDEs with random initial data beyond variance blowup. As a model equation, we stu…
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…
Constraining symmetron fields with a levitated optomechanical system
Jiawei Li, Ka-di Zhu
The symmetron, one of the light scalar fields introduced by dark energy theories, is thought to modify the gravitational force when it couples to matter. However, detecting the sym…
Mean field equations arising from random vortex dynamics
Jiawei Li, Zhongmin Qian
We consider Mckean-Vlasov type stochastic differential equations with multiplicative noise arising from the random vortex method. Such an equation can be viewed as the mean-field l…
Nonlinear PDEs with modulated dispersion II: Korteweg-de Vries equation
Khalil Chouk, Massimiliano Gubinelli, Guopeng Li +2
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) We study dispersive equatio…