Xiaoliang Li

ORCID: 0000-0001-9016-8795
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Research Areas
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Advanced Sensor and Control Systems
  • Geometric Analysis and Curvature Flows
  • Advanced Algorithms and Applications
  • Hydraulic Fracturing and Reservoir Analysis
  • Simulation and Modeling Applications
  • Fluid Dynamics Simulations and Interactions
  • Fuel Cells and Related Materials
  • Nonlinear Differential Equations Analysis
  • Differential Equations and Numerical Methods
  • Embedded Systems and FPGA Design
  • Numerical methods in inverse problems
  • Membrane-based Ion Separation Techniques
  • Advanced Differential Geometry Research
  • Wireless Sensor Networks and IoT
  • Vehicular Ad Hoc Networks (VANETs)
  • Phonocardiography and Auscultation Techniques
  • Carbon Nanotubes in Composites
  • Soil, Finite Element Methods
  • Advanced battery technologies research
  • Lattice Boltzmann Simulation Studies
  • Mathematical Biology Tumor Growth

University of Milan
2024

China National Petroleum Corporation (China)
2023

Xi'an University of Technology
2021-2022

Liaoning University
2022

Beijing Normal University
2019-2022

Chinese Academy for Environmental Planning
2020

Beijing Institute of Technology
2019

Taiyuan University of Technology
2018

University of Science and Technology Beijing
2017-2018

Beijing Jiaotong University
2013

A novel material that nano zero valent iron (nZVI) loaded on biochar with stable starch stabilization (nZVI/SS/BC) was synthesized and used for the removal of hexavalent chromium [Cr(VI)] in simulated wastewater. It indicated as pyrolysis temperature rice straw increased, rate Cr(VI) by nZVI/SS/BC first increased then decreased. made from pyrolyzed at 600 °C (nZVI/SS/BC600) had highest efficiency suitable a wide pH range (pH 2.1–10.0). The results showed 99.67% removed nZVI/SS/BC600, an...

10.1016/j.ecoenv.2020.111552 article EN cc-by-nc-nd Ecotoxicology and Environmental Safety 2020-11-09

Abstract Given $N\geq 2$, we completely classify solutions to the anisotropic $N$-Liouville equation $$ \begin{align*} &-\Delta_N^H\,u=e^u \quad\textrm{in}\ \mathbb{R}^N,\end{align*} under finite mass condition $\int _{\mathbb{R}^{N}} e^{u}\,dx<+\infty $. Here $\Delta _{N}^{H}$ is so-called Finsler $N$-Laplacian induced by a positively homogeneous function $H$. As consequence in planar case $N=2$, give an affirmative answer conjecture made [ 53].

10.1093/imrn/rnae181 article EN cc-by International Mathematics Research Notices 2024-09-02

Abstract We consider a partially overdetermined problem for anisotropic N -Laplace equations in convex cone $$\Sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Σ</mml:mi> </mml:math> intersected with the exterior of bounded domain $$\Omega <mml:mi>Ω</mml:mi> $${\mathbb {R}}^N$$ <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mi>N</mml:mi> </mml:msup> , $$N\ge 2$$ <mml:mo>≥</mml:mo> <mml:mn>2</mml:mn> . Under prescribed logarithmic condition at infinity, we...

10.1007/s00526-022-02235-2 article EN cc-by Calculus of Variations and Partial Differential Equations 2022-05-05

In this paper, we consider a nonlocal parabolic equation associated with initial and Dirichlet boundary conditions. Firstly, discuss the vacuum isolating behavior of solutions help family potential wells. Then obtain threshold global existence blow up for critical energy. Furthermore, those satisfy $J(u_0)\leq d$ $I(u_0)\neq 0$, show that decay to zero exponentially as time tends infinity norm blow-up increase exponentially.

10.1063/1.5004668 article EN Journal of Mathematical Physics 2017-10-01

A low carbon, high efficiency and quality power supply scheme for Distributed Generation (DG) in a micro-grid is presented. three-phase, four-leg DG grid-interfacing converter based on the improved structure of Unified Power Quality Conditioner (UPQC, including series parallel converter) adopted, indirect direct control strategies are proposed. It can be observed that these effectively compensate voltage sags, swells distortion, as well problems resulting from nonlinear unbalanced loads...

10.3390/en6094924 article EN cc-by Energies 2013-09-23

10.1016/j.jmaa.2018.06.038 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2018-06-18

10.1007/s00526-020-01904-4 article EN Calculus of Variations and Partial Differential Equations 2021-01-18

Anomalous diffusions on classical structures, like the comb structure where branches are perpendicular to straight backbone, have been studied by many researchers. However, in practical problems, anomalous associated with a region surrounded boundary, and research about such kind of branching structures is still deficient. In this article, novel model, namely, circular backbone radial branches, presented describe diffusion more complex regions, which has potential modeling problems medical...

10.1016/j.cnsns.2019.04.027 article EN cc-by-nc-nd Communications in Nonlinear Science and Numerical Simulation 2019-05-03

We establish a theoretical framework of the particle relaxation method for uniform generation Smoothed Particle Hydrodynamics. achieve this by reformulating as an optimization problem. The objective function is integral difference between discrete particle-based and smoothed-analytical volume fractions. analysis demonstrates that in domain interior essentially equivalent to employing gradient descent approach solve problem, we can extend such equivalence bounded introducing proper boundary...

10.48550/arxiv.2403.00623 preprint EN arXiv (Cornell University) 2024-03-01

In this paper, we study positive solutions $u$ of the homogeneous Dirichlet problem for $p$-Laplace equation $-\Delta_p \,u=f(u)$ in a bounded domain $\Omega\subset\mathbb{R}^N$, where $N\ge 2$, $1<p<+\infty$ and $f$ is discontinuous function. We address quantitative stability Gidas-Ni-Nirenberg type symmetry result $u$, which was established by Lions Serra when $\Omega$ ball. By exploiting version P\'olya-Szeg\"o principle, prove that deviation from its Schwarz symmetrization can be...

10.48550/arxiv.2410.09482 preprint EN arXiv (Cornell University) 2024-10-12

Given $N\geq 2$, we completely classify the solutions of anisotropic $N$-Liouville equation $$-\Delta_N^H\,u=e^u \quad\text{in }\mathbb{R}^N,$$ under finite mass condition $\int_{\mathbb{R}^N} e^u\,dx<+\infty$. Here $\Delta_N^H$ is so-called Finsler $N$-Laplacian induced by a positively homogeneous function $H$. As consequence for $N=2$, give an affirmative answer to conjecture made in [G. Wang and C. Xia, J. Differential Equations 252 (2012) 1668--1700].

10.48550/arxiv.2306.12039 preprint EN other-oa arXiv (Cornell University) 2023-01-01

Abstract To improve the accuracy of carbonate lithofacies modeling, mainly well data such as core, thin section and logging had been adopted in conventional methods. Although reservoir types classification is very detailed, but it usually difficult to integrate with seismic make 3D model. address issue a new integrated modeling technique was summarized based on section, logging, production performance data. The workflow contains 5 steps. 1) Integrated FMI, CMR 2) Petrophysics cross-plot...

10.2118/216891-ms article EN 2023-10-01

Abstract This paper presents an experimental study on the performance of a reverse electrodialysis (RED) stack for SELEMION, ASTOM, and FUJI membranes with cell pair number from 3 to 15 flowrate 5 60 L/h over wide solution concentration range 1 120 g/L. Direct current alternate measurements are employed identify quantitatively contribution ohmic non-ohmic resistances total resistance then, power output is predicted theoretically. The results show that dominates in accounts about 90%. factors...

10.1115/1.4052095 article EN Journal of Electrochemical Energy Conversion and Storage 2021-08-11

In the present study, vibration frequency and wave propagation investigation of multidirectionally FG nanobeams reinforced with carbon nanotubes is studied comprehensively for first time. A nonlocal model including both softening stiffness enhancement impacts nanosize beam according to strain gradient theory presented consider size-dependent effect. The transverse response separated into bending shear parts exactly. effects moisture thermal fields are considered nonlinearly through thickness...

10.1080/17455030.2022.2070682 article EN Waves in Random and Complex Media 2022-05-10

Abstract The ion transport properties across the membrane under conditions of different types, solution concentrations, flow rates and temperatures were investigated in a four-compartment reactor. By combining linear sweep voltammetry chronopotentiometry, limiting current density ( I lim ), transition time τ ) difference between numbers t m – s determined. And diffusion boundary layer thickness δ membrane-solution system at steady-state was measured by electrochemical impedance spectroscopy....

10.1515/ijcre-2022-0068 article EN International Journal of Chemical Reactor Engineering 2022-07-21

We treat the exterior Dirichlet problem for a class of fully nonlinear elliptic equations form $$f(\lambda(D^2u))=g(x),$$ with prescribed asymptotic behavior at infinity. The this type had been studied extensively by Caffarelli--Nirenberg--Spruck \cite{Caffarelli1985}, Trudinger \cite{Trudinger1995} and many others, there significant discussions on solvability classical via continuity method, under assumption that $f$ is concave function. In paper, based Perron's we establish an existence...

10.1142/s0219199722500821 article EN Communications in Contemporary Mathematics 2022-12-15

In this paper, we consider the solution of a nonlocal parabolic equation. Focusing on solutions with initial data at high energy level, find criteria for global existence and finite time blow up corresponding respectively. Moreover, prove that there always exists negative Nehari functional no matter how large is.

10.48550/arxiv.1805.00845 preprint EN other-oa arXiv (Cornell University) 2018-01-01

This paper is concerned with the initial boundary value problem of a nonlocal parabolic equation. By establishing comparison principle and studying long-time behavior its flow, we find criteria for finite time blow-up global existence solutions respectively, which in particular includes results arbitrarily high energy data. We also characterize asymptotic profile to both vanishing at infinity blowing up time.

10.3934/cpaa.2020134 article EN Communications on Pure &amp Applied Analysis 2020-01-01

This article is with the background of speech coding and data encryption, design a project secure communication based on TMS320VC5509A DSP. In system, algorithm MELP adopted to encode voice data, AES used encrypt signal Differ- Hellman agreement as key consultation. Because adoption DSP realization software module design, system has expand goodly, can replace compression code algorithm, so be low bit rate again solid hour keeps secret experiment terrace communication. Finally, through test...

10.1109/etcs.2011.255 article EN International Workshop on Education Technology and Computer Science 2011-03-12
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