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math.AP2021★ 3 cited
Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy
Javier Gómez-Serrano, Jaemin Park, Jia Shi
In this paper, we prove the existence of locally non-radial solutions to the stationary 2D Euler equations with compact support but non-concentrated around one or several points. O…
math.AP2021
Long time stability of KAM tori for the nonlinear Schrödinger equation
Xiaolong He, Jia Shi, Xiaoping Yuan
In this paper, we prove the long time stability of KAM tori for the nonlinear Schrödinger equation on the torus with arbitrary dimensions.
math.AP2021
A note on stability of Eliasson-Kuksin's KAM tori for the nonlinear Schrödinger equation
Xiaolong He, Jia Shi, Xiaoping Yuan
Eliasson and Kuksin developed a KAM approach to study the persistence of the invariant tori for nonlinear Schrödinger equation on . In this note, we improve Eliasso…