Kai Yang

activity

20182021

most citedStable blow-up dynamics in the

L^{2}

-critical and

L^{2}

-supercritical generalized Hartree equation

2 citations · 4 across the 2 of their papers we have counts for

collaborators

4 papers

math.AP2021

Higher dimensional generalization of the Benjamin-Ono equation: 2D case

Oscar Riaño, Svetlana Roudenko, Kai Yang

We consider a higher-dimensional version of the Benjamin-Ono (HBO) equation in the 2D setting: $u_{t} - R_{1} Δ u + \frac{1}{2} (u^{2})_{x} = 0, (x, y) \in R^{2}$ , which is $L^2…

math.AP2020★ 2 cited

Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation

Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko +1

We consider the quadratic Zakharov-Kuznetsov equation $\partial_{t} u + \partial_{x} Δ u + \partial_{x} u^{2} = 0$ on $R^{3}$ . A solitary wave solution is given by $Q (x - t, y, z)$ , w…

math.AP2020★ 2 cited

Stable blow-up dynamics in the $L^{2}$ -critical and $L^{2}$ -supercritical generalized Hartree equation

Kai Yang, Svetlana Roudenko, Yanxiang Zhao

We study stable blow-up dynamics in the generalized Hartree equation with radial symmetry, a Schrödinger-type equation with a nonlocal, convolution-type nonlinearity: $iu_t+Δu +\le…

nlin.AO2018

Chimera states in nonlocally coupled bicomponent phase oscillators: From synchronous to asynchronous chimeras

Qionglin Dai, Kai Yang, Hongyan Cheng +3

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlo…

Higher dimensional generalization of the Benjamin-Ono equation: 2D case

Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation

Stable blow-up dynamics in the L2-critical and L2-supercritical generalized Hartree equation

Chimera states in nonlocally coupled bicomponent phase oscillators: From synchronous to asynchronous chimeras

Stable blow-up dynamics in the $L^{2}$ -critical and $L^{2}$ -supercritical generalized Hartree equation