Faculty

Institution

Unit

Venue

Zhongwei Shen

Professor

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

Zhongwei Shen is currently serving as a College Of Arts & Sciences Professor at University of Kentucky.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Zhongwei Shen

University of Kentucky

Professor

You can click a keyword to filter the displayed items

applied mathematics mathematics numerical analysis boundary value problems operator theory spectral theory theoretical analysis partial differential equations lipschitz domains pure mathematics mathematical analysis numerical mathematics elliptic equations mechanical engineering function spaces analytic number theory functional analysis number theory general systems mathematical optimization nonlinear analysis harmonic analysis applied algebra numerical simulations applied physics mathematical sciences modern algebra homogenization (chemistry) regularization (mathematics) elliptic systems variational analysis numerical method for partial differential equation potential theory geometrical accuracy elliptic function dirichlet form convergence rates periodic homogenization friction computational fluid dynamics convex analysis geometric topology nonlinear functional analysis free boundary problems global analysis parabolic equations nonlinear phenomena geometry of numbers large scale structure lipschitz cylinders nonlinear dynamics quantum chemistry shadowed set boundary element methods finite fields parameter identification complex geometry schrodinger operators elliptic homogenization problems almost-periodic homogenization elliptic homogenization convex domains parabolic homogenization stokes operator neumann problem resolvent estimates dirichlet problem fourier analysis full duplex method of fundamental solution ab-initio methods nonlinear hyperbolic problem elasticity (physics) time complexity heterogeneous modeling fundamental solutions

Notable Scholarly Works

Notable Federal Grants

Collaborators

Dirichlet Problems in Perforated Domains. Communications in Partial Differential Equations (2025)

numerical analysisgeometric partial differential equationapplied mathematicsrational mechanicpartial differential equationsboundary value problems

Resolvent Estimates for the Stokes Operator in Bounded and Exterior $$C^1$$ Domains. Mathematische Annalen (2024)

Jun GengZhongwei Shen

function spacesspectral theorymechanical engineeringfacies analysisnumerical analysisalgebraic topologyapplied algebralinear algebraalgebraic geometryresolvent estimatesnumerical mathematicsmodern algebraanalytic number theorygeneral systemsgeometry and topologyapplied mathematicscomplex geometrygeometric topologymathematicsstokes operator

Critical Sets of Elliptic Equations With Rapidly Oscillating Coefficients in Two Dimensions. Vietnam Journal of Mathematics (2023)

Fanghua LinZhongwei Shen

oscillation theorycritical setsapplied mathematicsparticle physicsgraph theory

Critical Sets of Solutions of Elliptic Equations in Periodic Homogenization. Communications on Pure and Applied Mathematics (2023)

Fanghua LinZhongwei Shen

periodic homogenizationcritical setsapplied mathematicspure mathematics

Darcy’s Law for Porous Media With Multiple Microstructures. La Matematica (2023)

Zhongwei Shen

multiple microstructuresinterface sciencenumerical simulationsporous materialsmechanical engineeringenvironmental engineeringcivil engineeringlarge scale structuremechanics of materialsmultiphase flowsporosityporous mediagranular mediumfracture mechanicsdeformationfrictionstructural integritymicrostructurepore structuregranular materials

Homogenization of Boundary Value Problems in Perforated Lipschitz Domains. Journal of Differential Equations (2023)

Zhongwei Shen

free boundary problemsfractional calculusdifferential equationsnumerical simulationsmechanical engineeringnumerical analysissystems biologynumerical method for partial differential equationboundary element methodsgeometric analysisnumerical mathematicsglobal analysisnonlinear analysisperforated lipschitz domainsapplied mathematicspartial differential equationsdynamical systemsperturbation methodsboundary value problems

Uniform Estimates for Dirichlet Problems in Perforated Domains. Vietnam Journal of Mathematics (2023)

Zhongwei Shen

harmonic analysisnumerical analysisapplied mathematicspure mathematicsdirichlet formsource apportionmentdirichlet problemsdiscrete mathematicsuniform estimatesmathematicsboundary value problemsperforated domainsnonlinear analysis

Uniform W1, Estimates and Large-Scale Regularity for Dirichlet Problems in Perforated Domains. Journal of Functional Analysis (2023)

Zhongwei ShenJamison Wallace

regularization (mathematics)applied mathematicsfunctional analysisdirichlet problemslarge-scale regularityboundary value problemsperforated domains

Compactness and Large-Scale Regularity for Darcy's Law. Journal de Mathématiques Pures et Appliquées (2022)

Zhongwei Shen

numerical analysistheoretical analysisalgebraic number theoryabstract and applied analysisapplied mathematicspure mathematicsmathematicsnumerical mathematicsdefault logicanalytic number theorylarge-scale regularityapplied algebramathematical analysisgeneral systemsmathematical sciences

Erratum to “Uniform Boundary Controllability and Homogenization of Wave Equations”. Journal of the European Mathematical Society (2022)

Fanghua LinZhongwei Shen

wave equationsapplied mathematicsmathematicshomogenization (chemistry)mathematical analysisuniform boundary controllability

1
2
3
4
5
10
10 / page

Zhongwei Shen

Professor

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

Zhongwei Shen is currently serving as a College Of Arts & Sciences Professor at University of Kentucky.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Zhongwei Shen

University of Kentucky

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Dirichlet Problems in Perforated Domains. Communications in Partial Differential Equations (2025)

numerical analysisgeometric partial differential equationapplied mathematicsrational mechanicpartial differential equationsboundary value problems

Resolvent Estimates for the Stokes Operator in Bounded and Exterior $$C^1$$ Domains. Mathematische Annalen (2024)

Jun GengZhongwei Shen

Critical Sets of Elliptic Equations With Rapidly Oscillating Coefficients in Two Dimensions. Vietnam Journal of Mathematics (2023)

Fanghua LinZhongwei Shen

oscillation theorycritical setsapplied mathematicsparticle physicsgraph theory

Critical Sets of Solutions of Elliptic Equations in Periodic Homogenization. Communications on Pure and Applied Mathematics (2023)

Fanghua LinZhongwei Shen

periodic homogenizationcritical setsapplied mathematicspure mathematics

Darcy’s Law for Porous Media With Multiple Microstructures. La Matematica (2023)

Zhongwei Shen

Homogenization of Boundary Value Problems in Perforated Lipschitz Domains. Journal of Differential Equations (2023)

Zhongwei Shen

Uniform Estimates for Dirichlet Problems in Perforated Domains. Vietnam Journal of Mathematics (2023)

Zhongwei Shen

Uniform W1, Estimates and Large-Scale Regularity for Dirichlet Problems in Perforated Domains. Journal of Functional Analysis (2023)

Zhongwei ShenJamison Wallace

regularization (mathematics)applied mathematicsfunctional analysisdirichlet problemslarge-scale regularityboundary value problemsperforated domains

Compactness and Large-Scale Regularity for Darcy's Law. Journal de Mathématiques Pures et Appliquées (2022)

Zhongwei Shen

Erratum to “Uniform Boundary Controllability and Homogenization of Wave Equations”. Journal of the European Mathematical Society (2022)

Fanghua LinZhongwei Shen

wave equationsapplied mathematicsmathematicshomogenization (chemistry)mathematical analysisuniform boundary controllability

1
2
3
4
5
10
10 / page

Similar Faculty Members

Peter A. Perry

Institution

University of Kentucky

spectral theory

inverse scattering transforms

Gary M Lieberman

Institution

Iowa State University

applied mathematics

mathematics

Lihe Wang

Institution

University of Iowa

applied mathematical modelling

physical modeling

Martin Schechter

Institution

University of California, Irvine

spectral theory

operator theory

Dmitry Khavinson

Institution

University of South Florida

applied mathematical modelling

real analysis

Eduardo Teixeira

Institution

University of Central Florida

regularity theory

partial differential equation

Ralph E. Showalter

Institution

Oregon State University

diffusion process

pore structure

Camillo De Lellis

Institution

Princeton University

applied mathematics

mathematics

Gieri Simonett

Institution

Vanderbilt University

calculus of variation

nonlinear analysis

Alexander Varchenko

Institution

University of North Carolina at Chapel Hill

complex analysis

mathematical physics

Similar Faculty Members

Peter A. Perry

Institution

University of Kentucky

spectral theory

inverse scattering transforms

Gary M Lieberman

Institution

Iowa State University

applied mathematics

mathematics

Lihe Wang

Institution

University of Iowa

applied mathematical modelling

physical modeling

Martin Schechter

Institution

University of California, Irvine

spectral theory

operator theory

Dmitry Khavinson

Institution

University of South Florida

applied mathematical modelling

real analysis

Eduardo Teixeira

Institution

University of Central Florida

regularity theory

partial differential equation

Ralph E. Showalter

Institution

Oregon State University

diffusion process

pore structure

Camillo De Lellis

Institution

Princeton University

applied mathematics

mathematics

Gieri Simonett

Institution

Vanderbilt University

calculus of variation

nonlinear analysis

Alexander Varchenko

Institution

University of North Carolina at Chapel Hill

complex analysis

mathematical physics