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Xiaoqian Xu
Associate Professor of Mathematics at Duke Kunshan University
DKU Faculty
xiaoqian.xu@dukekunshan.edu.cn
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Scholarly Works - Preprints
Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs
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May 19, 2026
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Accelerating sampling via asymptotic relaxation enhancing flows
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April 26, 2026
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Data-Driven Parameter Identification for Tumor Growth Models
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November 19, 2025
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Exponential Lower Bounds for the Advection-Diffusion Equation with Shear Flows
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November 18, 2025
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Phase separation for the 2D Cahn-Hilliard equation with a background shear flow
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September 19, 2025
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A Three-dimensional tumor growth model and its boundary instability
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January 10, 2024
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Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Poiseuille flow
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December 2, 2023
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Existence of weak solutions to $p$-Navier-Stokes equations
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February 17, 2023
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Dissipation enhancement of cellular flows in general advection diffusion equations
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October 30, 2022
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Tumor boundary instability induced by nutrient consumption and supply
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October 3, 2022
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Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow
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July 11, 2021
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Dissipation enhancement for a degenerated parabolic equation
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April 26, 2021
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Suppression of epitaxial thin film growth by mixing
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November 28, 2020
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Convection-Induced Singularity Suppression in the Keller-Segel and Other Non-linear PDEs
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August 5, 2019
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Continuous and discrete one dimensional autonomous fractional ODEs
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March 7, 2017
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One-dimensional model equations for hyperbolic fluid flow
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August 3, 2015
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A locally gradient-preserving reinitialization for level set functions
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April 8, 2015
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Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow
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November 5, 2014
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