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20082026
most citedDynamics and modulation of ring dark soliton in 2D Bose-Einstein condensates with tunable interaction

54 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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7 papers · 1 filter

math.AP2024★ 2 cited

Mathematical modeling and analysis for the chemotactic diffusion in porous media with incompressible Navier-Stokes equations over bounded domain

Fugui Ma, Wenyi Tian, Weihua Deng

Myxobacteria aggregate and generate fruiting bodies in the soil to survive under starvation conditions. Considering soil as a porous medium, the biological mechanism and dynamic be…

math.AP2020★ 14 cited

Global dynamics of small solutions to the modified fractional Korteweg-de Vries and nonlinear Schrödinger equations

Jean-Claude Saut, Yuexun Wang

This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and nonlinear Schrödinger (modified fNLS) equations, with the dispersions |D|^α\partial_x and |D|^{α+1…

math.AP2020★ 9 cited

Enhanced existence time of solutions to evolution equations of Whitham type

Mats Ehrnström, Yuexun Wang

We show that Whitham type equations u_t + u u_x -L u_x = 0, where L is a general Fourier multiplier operator of order α\in [-1,1], α\neq 0, allow for small solutions to be extended…

math.AP2020★ 35 cited

Spatial Propagation in an Epidemic Model with Nonlocal Diffusion: the Influences of Initial Data and Dispersals

Wen-Bing Xu, Wan-Tong Li, Shigui Ruan

This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data…

math.AP2018★ 2 cited

Convergence rates on periodic homogenization of p-Laplace type equations

Li Wang, Qiang Xu, Peihao Zhao

In this paper, we find some error estimates for periodic homogenization of p-Laplace type equations under the same structure assumption on homogenized equations. The main idea is t…

math.AP2017

Entire Solution in an Ignition Nonlocal Dispersal Equation: Asymmetric Kernel

Li Zhang, Wan-Tong Li, Zhi-Cheng Wang

This paper mainly focus on the front-like entire solution of a classical nonlocal dispersal equation with ignition nonlinearity. Especially, the dispersal kernel function may n…

math.AP2016★ 15 cited

Boundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity

Jun Geng, Zhongwei Shen, Liang Song

This paper concerns with a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization. We establish uni…