4 papers
A Pair of Multiplication-Type Operators in Quaternionic Analysis and the 2-Cauchy-Fueter Equation
Yong Li, Yuchen Zhang
In this paper, we introduce a pair of multiplication-like operations, and , which derive -regular functions from -regular functions. The investigation of the i…
The rotating periodic, spiral-like almost periodic and spiral-like almost automorphic solutions of Navier-Stokes equations with the Coriolis force
Ziying Chen, Yong Li
We consider the spatio-temporal periodic problem for the Navier-Stokes equations with a small external force in the rotational framework. We prove the existence and uniqueness of t…
Existence, Uniqueness and Asymptotic Dynamics of Nonlinear Schrödinger Equations With Quasi-Periodic Initial Data: I. The Standard NLS
David Damanik, Yong Li, Fei Xu
This is the first part of a two-paper series studying nonlinear Schrödinger equations with quasi-periodic initial data. In this paper, we consider the standard nonlinear Schrödin…
Existence, Uniqueness and Asymptotic Dynamics of Nonlinear Schrödinger Equations With Quasi-Periodic Initial Data: II. The Derivative NLS
David Damanik, Yong Li, Fei Xu
This is the second part of a two-paper series studying the nonlinear Schrödinger equation with quasi-periodic initial data. In this paper, we focus on the quasi-periodic Cauchy pr…