15 citations · 16 across the 9 of their papers we have counts for
9 papers
Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation
Xiangqian Yan, Wei Yan, Meihua Yang
This paper is devoted to studying the generalized Ostrovsky equation \begin{eqnarray*} u_{t}-β\partial_{x}^{3}u-γ\partial_{x}^{-1}u+\frac{1}{k+1}(u^{k+1})_{x}=0,k\geq5 \end{eqnarra…
Pointwise convergence problem of Ostrovsky equation with rough data and random data
Wei Yan, Qiaoqiao Zhang, Jinqiao Duan +1
In this paper, we consider the pointwise convergence problem of free Ostrovsky equation with rough data and random data. Firstly, we show the almost everywhere pointwise convergenc…
Probabilistic pointwise convergence problem of some dispersive equations
Wei Yan, Jinqiao Duan, Yongsheng Li +1
In this paper, we investigate the almost surely pointwise convergence problem of free KdV equation, free wave equation, free elliptic and non-elliptic Schrödinger equation respecti…
Normalized solutions for a coupled fractional schrodinger system in low dimensions
Meng Li, Jinchun He, Haoyuan Xu +1
We consider the following coupled fractional Schrödinger system: \begin{equation*} \left\{ \begin{aligned} &(-Δ)^su+λ_1u=μ_1|u|^{2p-2}u+β|v|^p|u|^{p-2}u\\ &(-Δ)^sv+λ_2v=μ_2|v|^{2p-…
Effective Approximation for a Nonlocal Stochastic Schrödinger Equation with Oscillating Potential
Li Lin, Meihua Yang, Jinqiao Duan
We study the effective approximation for a nonlocal stochastic Schrodinger equation with a rapidly oscillating, periodically time-dependent potential. We use the natural diffusive…
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
Maoding Zhen, Jinchun He, Haoyuan Xu +1
In this paper, we consider the following fractional Laplacian system with one critical exponent and one subcritical exponent \begin{equation*} \begin{cases} (-Δ)^{s}u+μu=|u|^{p-1}u…
Slow manifold and parameter estimation for a nonlocal fast-slow stochastic evolutionary system
Hina Zulfiqar, Ziying He, Meihua Yang +1
We establish a slow manifold for a fast-slow stochastic evolutionary system with anomalous diffusion, where both fast and slow components are influ- enced by white noise. Furthermo…
Effective reduction for a nonlocal Zakai stochastic partial differential equation in data assimilation
Li Lin, Meihua Yang, Jinqiao Duan
We study the effective reduction for a nonlocal stochastic partial differential equation with oscillating coefficients. The nonlocal operator in this stochastic partial differentia…
Additive noise destroys the random attractor close to bifurcation
Luigi Amedeo Bianchi, Dirk Blömker, Meihua Yang
We provide an example for stabilization by noise. Our approach does not rely on monotonicity arguments due to the presence of higher order differential operators or mixing properti…