Zhongwei Shen
YOU?
Author Swipe
View article: Resolvent estimates in $L^{\infty }$ for the Stokes operator in nonsmooth domains
Resolvent estimates in $L^{\infty }$ for the Stokes operator in nonsmooth domains Open
We establish resolvent estimates in spaces of bounded solenoidal functions for the Stokes operator in a bounded domain $\Omega $ in $\mathbb{R}^{d}$ under the assumptions that $\Omega $ is $C^{1}$ for $d\ge 3$ and Lipschitz…
View article: Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis
Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis Open
This paper is concerned with the magnetic Laplacian $P^h (\A)=(h D+\A)^2$ in semiclassical analysis, where $h$ is a semiclassical parameter. We study the $L^2$ Neumann and Dirichlet problems for the equation $P^h(\A)u=0$ in a bounded Lipsc…
View article: Assessing Users’ Satisfaction with the Urban Central Metro Station Area in Chengdu: An SEM-IPA Approach
Assessing Users’ Satisfaction with the Urban Central Metro Station Area in Chengdu: An SEM-IPA Approach Open
An urban central metro station area is a core hub within the high-quality Transit-Oriented Development (TOD) model. This study explores users’ perceptions of built environments around urban central metro stations to investigate the critica…
View article: The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain
The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain Open
This paper is concerned with spectrum properties of the magnetic Laplacian with a higher-order vanishing magnetic field in a bounded domain. We study the asymptotic behaviors of ground state energies for the Dirichlet Laplacian, the Neuman…
View article: Research on the age-friendly design of station square based on IPA-Kano model: a case study of Chengdu East Railway Station
Research on the age-friendly design of station square based on IPA-Kano model: a case study of Chengdu East Railway Station Open
With an aging population, the importance of age-friendly design for high-speed railway station squares is rising. This study creates an evaluation framework for such squares, considering security, pedestrian systems, environmental faciliti…
View article: Convergence rates of eigenvalue problems in perforated domains: the case of small volume
Convergence rates of eigenvalue problems in perforated domains: the case of small volume Open
This paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume. We obtain the optimal quantitative error estimates independent of the spectral ga…
View article: Evaluation of Sustainable Development Potential of Railway Station Areas in Guangzhou Metropolitan Area: Based on the Extended “Node–Place–Support” Model
Evaluation of Sustainable Development Potential of Railway Station Areas in Guangzhou Metropolitan Area: Based on the Extended “Node–Place–Support” Model Open
As metropolitan regions expand, railway station areas (RSAs) encounter unprecedented challenges and opportunities regarding sustainability, influenced by transportation, location, and urban factors. However, there is currently a lack of mo…
View article: Research on the Spatial Network Connection Characteristics and Influencing Factors of Chengdu–Chongqing Urban Agglomeration from the Perspective of Flow Space
Research on the Spatial Network Connection Characteristics and Influencing Factors of Chengdu–Chongqing Urban Agglomeration from the Perspective of Flow Space Open
Urban Agglomerations (UAs), as the primary form of China’s new urbanization and an essential spatial unit for promoting coordinated regional development, play a crucial role in measuring the sustainable and healthy development of urban clu…
View article: Neumann Problems for the Stokes Equations in Convex Domains
Neumann Problems for the Stokes Equations in Convex Domains Open
This paper studies the Neumann boundary value problems for the Stokes equations in a convex domain in $\mathbb{R}^d$. We obtain nontangential-maximal-function estimates in $L^p$ and $W^{1, p}$ estimates for $p$ in certain ranges depending …
View article: Perceptual Attributes Identification and Importance–Performance Alignment Assessment of Urban Underground Complex: A Case Study in Chengdu Tianfu Square
Perceptual Attributes Identification and Importance–Performance Alignment Assessment of Urban Underground Complex: A Case Study in Chengdu Tianfu Square Open
Background and objectives: The urban underground complex integrates comprehensive architecture and subterranean space, presenting physical and psychological complexities. To mitigate the negative experiences associated with this complexity…
View article: Convergence rates of eigenvalue problems in perforated domains: the case of small volume
Convergence rates of eigenvalue problems in perforated domains: the case of small volume Open
This paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume. We obtain the optimal quantitative error estimates independent of the spectral ga…
View article: Developing Guidelines to Increase Green Space in Communities in Thailand Based on the Integration of Green Space into Commercial and Waterfront Routes in Singapore and Hangzhou (China)
Developing Guidelines to Increase Green Space in Communities in Thailand Based on the Integration of Green Space into Commercial and Waterfront Routes in Singapore and Hangzhou (China) Open
The objective of this study is to determine how to increase green space that can overlap with areas that are primarily used for transport in commercial areas and waterfront routes in communities in Thailand, where transportation is limited…
View article: Exploring the non-linear relationship and synergistic effect between urban built environment and public sentiment integrating macro- and micro-level perspective: a case study in San Francisco
Exploring the non-linear relationship and synergistic effect between urban built environment and public sentiment integrating macro- and micro-level perspective: a case study in San Francisco Open
Public sentiment can effectively evaluate the public’s feelings of well-being in the urban environment and reflect the quality of the spatial environment to a certain extent. Previous studies on the relationship between public sentiment an…
View article: Cultural Heritage Deterioration in the Historical Town ‘Thimi’
Cultural Heritage Deterioration in the Historical Town ‘Thimi’ Open
The gradual or rapid deterioration of cultural heritage buildings can be a source of the loss of heritage assets over time. Cultural heritage encompasses tangible and intangible aspects of a society’s heritage, including historical buildin…
View article: Resolvent Estimates for the Stokes Operator in Bounded and Exterior $C^1$ Domains
Resolvent Estimates for the Stokes Operator in Bounded and Exterior $C^1$ Domains Open
We establish resolvent estimates in $L^q$ spaces for the Stokes operator in a bounded $C^1$ domain $Ω$ in $\mathbb{R}^d$. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in $L^q(Ω; \mathbb{C}^d)$ …
View article: Uniform regularity for degenerate elliptic equations in perforated domains
Uniform regularity for degenerate elliptic equations in perforated domains Open
This paper is concerned with a class of degenerate elliptic equations with rapidly oscillating coefficients in periodically perforated domains, which arises in the study of spectrum problems for uniformly elliptic equations in perforated d…
View article: Conservation of urban heritage post-earthquake reconstruction through community involvement: case study of THIMI-issues and lessons learned
Conservation of urban heritage post-earthquake reconstruction through community involvement: case study of THIMI-issues and lessons learned Open
Cultural heritage is a reflection of a community’s adopted ways of life. It comprises customs, behaviors, settings, physical objects, artistic expression, and ideals. As an impact of the Earthquake in 2015, the heritage building suffered c…
View article: Darcy’s Law for Porous Media with Multiple Microstructures
Darcy’s Law for Porous Media with Multiple Microstructures Open
View article: DePF: A Novel Fusion Approach based on Decomposition Pooling for Infrared and Visible Images
DePF: A Novel Fusion Approach based on Decomposition Pooling for Infrared and Visible Images Open
Infrared and visible image fusion aims to generate synthetic images simultaneously containing salient features and rich texture details, which can be used to boost downstream tasks. However, existing fusion methods are suffering from the i…
View article: Impact of Urban Construction on Pedestrian Level Wind Environment in Complex Building Group
Impact of Urban Construction on Pedestrian Level Wind Environment in Complex Building Group Open
View article: Experimental Study of the Impact of Upstream Complex Terrain on Approaching Wind Characteristics
Experimental Study of the Impact of Upstream Complex Terrain on Approaching Wind Characteristics Open
View article: Darcy's Law for Porous Media with Multiple Microstructures
Darcy's Law for Porous Media with Multiple Microstructures Open
In this paper we study the homogenization of the Dirichlet problem for the Stokes equations in a perforated domain with multiple microstructures. First, under the assumption that the interface between subdomains is a union of Lipschitz sur…
View article: Built-environment Determinants of Active Travel Behavior of Older Adults in Xiamen, China
Built-environment Determinants of Active Travel Behavior of Older Adults in Xiamen, China Open
Arguably, active travel (AT) is important for active aging. Using data from the Travel Survey of Xiamen Residents 2015 and geodata, this study develops a set of multilevel regression models to scrutinize the effect of the neighborhood-leve…
View article: Node-place model extended by system support: Evaluation and classification of metro station areas in Tianfu new area of Chengdu
Node-place model extended by system support: Evaluation and classification of metro station areas in Tianfu new area of Chengdu Open
The construction of new urban areas has become one of the important ways for urban regeneration throughout the process of polycentric urban development. New urban area construction following transit-oriented development (TOD) conception ad…
View article: Uniform $W^{1, p}$ Estimates and Large-Scale Regularity for Dirichlet Problems in Perforated Domains
Uniform $W^{1, p}$ Estimates and Large-Scale Regularity for Dirichlet Problems in Perforated Domains Open
In this paper we study the Dirichlet problem for Laplace's equation in a domain $ω_{ε, η}$ perforated periodically with small holes in $\mathbb{R}^d$, where $ε$ represents the scale of the minimal distances between holes and $η$ the ratio …
View article: Uniform Estimates for Dirichlet Problems in Perforated Domains
Uniform Estimates for Dirichlet Problems in Perforated Domains Open
This paper studies the Dirichlet problem for Laplace's equation in a domain $Ω_{\varepsilon, η}$ perforated with small holes, where $\varepsilon$ represents the scale of the minimal distances between holes and $η$ the ratio between the sca…
View article: Erratum to “Uniform boundary controllability and homogenization of wave equations”
Erratum to “Uniform boundary controllability and homogenization of wave equations” Open
This erratum corrects the statements and proofs of Theorems 1.1 and 1.2 of [J. Eur. Math. Soc. 24, 3031–3053 (2022)].
View article: Critical Sets of Elliptic Equations with Rapidly Oscillating Coefficients in Two Dimensions
Critical Sets of Elliptic Equations with Rapidly Oscillating Coefficients in Two Dimensions Open
In this paper we continue the study of critical sets of solutions $u_\e$ of second-order elliptic equations in divergence form with rapidly oscillating and periodic coefficients. In \cite{Lin-Shen-3d}, by controling the "turning" of approx…
View article: Critical Sets of Solutions of Elliptic Equations in Periodic Homogenization
Critical Sets of Solutions of Elliptic Equations in Periodic Homogenization Open
In this paper we study critical sets of solutions $u_\e$ of second-order elliptic equations in divergence form with rapidly oscillating and periodic coefficients. We show that the $(d-2)$-dimensional Hausdorff measures of the critical sets…
View article: Evacuation Optimization Strategy for Large-Scale Public Building Considering Plane Partition and Multi-Floor Layout
Evacuation Optimization Strategy for Large-Scale Public Building Considering Plane Partition and Multi-Floor Layout Open
Large-scale public buildings (e.g., stadiums and comprehensive hospitals) in modern cities provide places for various social activities. However, all of these public places encounter the scenario of large passenger flow and crowd gathering…