4 papers
Refined probabilistic global well-posedness for the weakly dispersive NLS
Chenmin Sun, Nikolay Tzvetkov
We continue our study of the cubic fractional NLS with very weak dispersion and data distributed according to the Gibbs measure. We construct the natural strong solutions for…
Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition
Nicolas Burq, Chenmin Sun
We study in this article decay rates for Kelvin-Voigt damped wave equations under a geometric control condition. We prove that when the damping coefficient is sufficiently smooth (…
New examples of probabilistic well-posedness for nonlinear wave equations
Chenmin Sun, Nikolay Tzvetkov
We consider fractional wave equations with exponential or arbitrary polynomial nonlinearities. We prove the global well-posedness on the support of the corresponding Gibbs measures…
Exact Controllability of linear KP-I equation
Chenmin Sun
We prove the exact controllability of linear KP-I equation if the control input is added on a vertical domain. More generally, we have obtained the least dispersion needed to insur…