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

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4 papers · 1 filter

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

Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study

Svetlana Roudenko, Zhongming Wang, Kai Yang

We consider the generalized Benjamin-Ono (gBO) equation on the real line, $u_{t} + \partial_{x} (- H u_{x} + \frac{1}{m} u^{m}) = 0, x \in R, m = 2, 3, 4, 5$ , and perform nu…

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…

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

Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study

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

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