World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
3630
World Ranking
3234
National Ranking
1286

Overview

Zhongwei Shen is affiliated with the University of Kentucky in the United States. Their research spans multiple interdisciplinary fields, primarily focused on engineering, mathematics, and computer science. Within these broad domains, Shen's work extensively covers specialized subfields including computational theory and mathematics, applied mathematics, transportation, mechanics of materials, and building and construction.

Their research topics involve advanced mathematical modeling in engineering, nonlinear partial differential equations, composite material mechanics, advanced numerical methods in computational mathematics, numerical methods in inverse problems, transportation planning and optimization, and urban transport and accessibility.

Zhongwei Shen has published numerous papers in various scientific venues. Frequent publication platforms include arXiv (Cornell University), Buildings, Journal of Functional Analysis, Journal of Asian Architecture and Building Engineering, and Journal of the European Mathematical Society.

Among Shen's recent papers are the following:

  • Measuring the built environment of green transit-oriented development: A factor-cluster analysis of rail station areas in Singapore (2021) - Frontiers of Architectural Research
  • Research on compactness ratio model of urban underground space and compact development mechanism of rail transit station affected area (2020) - Sustainable Cities and Society
  • Determining transit nodes for potential transit-oriented development: Along the LRT corridor in Addis Ababa, Ethiopia (2020) - Frontiers of Architectural Research
  • Evacuation Optimization Strategy for Large-Scale Public Building Considering Plane Partition and Multi-Floor Layout (2022) - Frontiers in Public Health
  • Node-place model extended by system support: Evaluation and classification of metro station areas in Tianfu new area of Chengdu (2022) - Frontiers in Environmental Science

Shen frequently collaborates with several scholars in their research efforts. Notable co-authors include Jun Geng, Fanghua Lin, Jiexi Ma, Rusi Zeng, and Jinping Zhuge, each contributing to at least five joint publications with Shen.

Best Publications

  • $L^p$ estimates for Schrödinger operators with certain potentials

    Zhongwei Shen

  • Homogenization of elliptic systems with Neumann boundary conditions

    Carlos E. Kenig;Fanghua Lin;Zhongwei Shen

  • Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators

    Unknown

  • Convergence Rates in L 2 for Elliptic Homogenization Problems

    Carlos E. Kenig;Fanghua Lin;Zhongwei Shen

  • Periodic Homogenization of Green and Neumann Functions

    Carlos Kenig;Fanghua Lin;Zhongwei Shen

  • The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math> boundary value problems on Lipschitz domains

    Unknown

  • Boundary estimates in elliptic homogenization

    Zhongwei Shen

  • Periodic Homogenization of Elliptic Systems

    Zhongwei Shen

  • Layer potential methods for elliptic homogenization problems

    Carlos E. Kenig;Zhongwei Shen

  • Estimates for the Stokes operator in Lipschitz domains

    Unknown

  • Lipschitz estimates in almost-periodic homogenization

    Scott N. Armstrong;Zhongwei Shen

  • On Absolute Continuity of the Periodic Schrödinger Operators

    Zhongwei Shen

  • The Neumann problem and Helmholtz decomposition in convex domains

    Jun Geng;Zhongwei Shen

  • On Fundamental Solutions of Generalized Schrödinger Operators

    Zhongwei Shen

  • Homogenization of elliptic boundary value problems in Lipschitz domains

    Carlos E. Kenig;Zhongwei Shen

  • On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains

    Loredana Lanzani;Zhongwei Shen

  • Resolvent Estimates in L p for the Stokes Operator in Lipschitz Domains

    Zhongwei Shen

  • Necessary and sufficient conditions for the solvability of the L p Dirichlet problem on Lipschitz domains

    Zhongwei Shen

  • Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders

    Unknown

  • Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains

    Unknown

  • Estimates of eigenvalues and eigenfunctions in periodic homogenization

    Carlos E. Kenig;Fanghua Lin;Zhongwei Shen

  • W$^{1,p}$ estimates for elliptic homogenization problems in nonsmooth domains

    Unknown

  • Convergence Rates in L^2 for Elliptic Homogenization Problems

    Carlos E. Kenig;Fanghua Lin;Zhongwei Shen

  • Homogenization of Stokes Systems and Uniform Regularity Estimates

    Shu Gu;Zhongwei Shen

  • Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems

    Zhongwei Shen

  • The Periodic Schrödinger Operators with Potentials in the Morrey Class

    Zhongwei Shen

  • Uniform Regularity Estimates in Parabolic Homogenization

    Jun Geng;Zhongwei Shen

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Fanghua Lin
Fanghua Lin Courant Institute of Mathematical Sciences

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