Article
Computer Science, Interdisciplinary Applications
Zhaohui Fu, Jiang Yang
Summary: This paper proves that the second order ETDRK scheme unconditionally preserves the energy dissipation law for a family of phase field models, and demonstrates the accuracy and stability of the ETDRK2 scheme through numerical simulations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
Summary: This article studies the numerical approximations of the viscous Cahn-Hilliard equation and proposes a family of time discretization schemes. The feasibility and excellent performance of the proposed schemes are demonstrated through theoretical analysis and numerical experiments.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Mathematics
Monica Conti, Stefania Gatti, Alain Miranville
Summary: The aim of this paper is to study a perturbation of the Cahn-Hilliard equation with nonlinear terms of logarithmic type. By proving the existence, regularity and uniqueness of solutions, as well as the (strong) separation properties of the solutions from the pure states, we finally demonstrate the convergence to the Cahn-Hilliard equation on finite time intervals.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2024)
Article
Mathematics
Charles Elbar, Jakub Skrzeczkowski
Summary: There has been a recent interest in rigorously deriving the Cahn-Hilliard equation from the nonlocal equation, particularly with regards to degenerate mobilities. In this study, a new method is presented to show the convergence of the nonlocal to the local degenerate Cahn-Hilliard equation, using nonlocal Poincare and compactness inequalities. This research is motivated by models for the biomechanics of living tissues.(c)2023 Elsevier Inc. All rights reserved.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Mathematics, Applied
Li Chen, Shujuan Lu
Summary: In this paper, the numerical approximation of the time fractional Cahn-Hilliard equation with initial singularity is studied. A nonlinear fully discrete scheme is proposed and its stability and convergence are rigorously proved. The results provide insights into the numerical simulation of related equations.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Mathematics, Applied
Quan Zhou, Yabing Sun
Summary: In this paper, two classes of exponential time differencing (ETD) schemes for solving the nonlocal Cahn-Hilliard equation are proposed. These schemes, including specific multistep and Runge-Kutta schemes, are shown to preserve the original energy. Numerical experiments are carried out to test the temporal convergence rates, mass conservations, and energy stabilities of the schemes. Long time simulations are also performed to verify the power law for the energy decay.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2023)
Article
Mathematics, Interdisciplinary Applications
Eylem Ozturk, Joseph L. Shomberg
Summary: In this study, a viscous Cahn-Hilliard phase-separation model with memory and a nonlocal fractional Laplacian operator in the chemical potential is examined. The existence of global weak solutions is proven using a Galerkin approximation scheme. Continuous dependence estimate provides uniqueness of weak solutions and existence of a compact connected global attractor in the weak energy phase space.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Applied
Mingwen Fei, Yuning Liu
Summary: This study investigates the phase-field approximation of the Willmore flow by rigorously justifying its sharp interface limit. By constructing an approximate solution and estimating its difference with the real solution, the study proves that the level-set of the solution will converge to the motion by Willmore flow as epsilon tends to zero. The crucial step involves proving a spectrum inequality of the linearized operator at the optimal profile, which is a fourth-order operator incorporating a singular perturbation.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2021)
Article
Mathematics, Applied
Meng Cai, Siqing Gan, Yaozhong Hu
Summary: This paper proves a weak rate of convergence for a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise. The spectral Galerkin method is used in space and the backward Euler method is used in time. A novel and direct approach is employed, which does not rely on a Kolmogorov equation but on the integration by parts formula from Malliavin calculus. This paper reveals the rates of weak convergence for the first time in the stochastic Cahn-Hilliard equation setting.
APPLIED NUMERICAL MATHEMATICS
(2023)
Correction
Mathematics
Sebastian Scholtes, Maria G. Westdickenberg
Summary: This article corrects a dissipation estimate from the original article, but the main result remains unchanged.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Engineering, Multidisciplinary
Revanth Mattey, Susanta Ghosh
Summary: A physics informed neural network (PINN) is a method that incorporates the physics of a system into a neural network's loss function by satisfying the system's boundary value problem. To address the accuracy issue for highly non-linear and higher-order time-varying partial differential equations, a novel backward compatible PINN (bc-PINN) scheme is proposed, which solves the PDE sequentially over successive time segments using a single neural network and re-trains the network to satisfy the already obtained solutions for previous time segments. Two techniques, using initial conditions and transfer learning, are introduced to improve the accuracy and efficiency of the bc-PINN scheme.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics
Kei Fong Lam
Summary: This study investigates the long-time behavior of a generalized Cahn-Hilliard equation with singular logarithmic potentials and a solution-dependent mass source term. The results demonstrate the global strong well-posedness of the model and the existence of global attractors with finite fractal dimensions.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Mathematics, Applied
Jing Li, Hao Cheng
Summary: In this paper, the inverse problem for the time-fractional two-dimensional Cahn-Hilliard equation is investigated. The ill-posedness and conditional stability of the inverse problem are proved. A new iterative variational regularization method is proposed to solve it, and the convergence rates of the regularized solutions under different parameter choice rules are obtained. Numerical examples demonstrate the effectiveness and stability of the proposed method.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Thi Thuy Le, Duong Toan Nguyen
Summary: In this paper, we consider a class of nonclassical diffusion equations on Double-struck capital RN with hereditary memory, in presence of singularly oscillating external forces depending on a positive parameter epsilon and a new class of nonlinearities, which have no restriction on the upper growth of the nonlinearity. We prove the existence of uniform attractors and study the convergence as epsilon tends to 0, extending and improving previous results.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Marco Salvalaglio, Axel Voigt, Steven M. Wise
Summary: In this study, we discuss two doubly degenerate Cahn-Hilliard models for isotropic surface diffusion, focusing on degeneracy in the mobility function and a restriction function associated with the chemical potential. Our computational results indicate that the restriction functions provide more accurate approximations of surface diffusion. We also explore a slight generalization of a non-variational model and introduce a new variational and energy dissipative model, both of which can be related to the generalized non-variational model and show convergence to the sharp-interface limit of surface diffusion through formal matched asymptotics.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Substance Abuse
Cheuk Chi Tam, Yuejiao Zhou, Eric G. Benotsch, Xiaoming Li, Shan Qiao, Qun Zhao
Summary: Nonmedical use of prescription drugs (NMUPD) is prevalent among female sex workers (FSWs) in China, with factors such as age, marital status, income level, and workplace being associated. The behavior is commonly motivated by pain relief and is accompanied by somatic symptoms and psychosocial distress.
Article
Public, Environmental & Occupational Health
Cheuk Chi Tam, Zhi Ye, Yuyan Wang, Xiaoming Li, Danhua Lin
Summary: This study investigates the mediation effects of resilience on psycho-behavioral health in response to COVID-19 stressors among Chinese college students. The results show that resilience mediates the association between COVID-19 stressors and psychological distress. Resilience, together with psychological distress, also mediates the association of COVID-19 stressors with self-care behaviors or drinking.
PSYCHOLOGY & HEALTH
(2023)
Article
Health Policy & Services
Chigozie A. Nkwonta, Jiajia Zhang, Shujie Chen, Sharon Weissman, Bankole Olatosi, Xiaoming Li
Summary: This study investigated the prevalence and trends of AIDS-defining cancers (ADC) and non-AIDS-defining cancers (NADC) in persons living with HIV (PLWH) in South Carolina. The study found that individuals who developed ADC or NADC were more likely to be older, male, use substances, have hepatitis infection, hypothyroidism, hypertension, and renal disease. Furthermore, long-term viral suppression may contribute to a reduced risk of cancer in PLWH.
AIDS CARE-PSYCHOLOGICAL AND SOCIO-MEDICAL ASPECTS OF AIDS/HIV
(2023)
Article
Engineering, Electrical & Electronic
Xinrong Huang, Wenjie Liu, Jinhao Meng, Yuanyuan Li, Siyu Jin, Remus Teodorescu, Daniel-Ioan Stroe
Summary: This article investigates the effect of low-frequency positive pulsed current (PPC) charging on the lifetime and charging performance of Li-ion batteries. Experimental results show that compared to traditional constant current (CC) charging, Li-ion batteries cycled by PPC charging have improved lifetime, maximum rising temperature, and energy efficiency by 81.6%, 60.5%, and 9.1% respectively. Therefore, low-frequency PPC charging should be considered as a promising charging strategy for Li-ion batteries.
IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN POWER ELECTRONICS
(2023)
Article
Health Policy & Services
Monique J. Brown, J. Stewart Trask, Amandeep Kaur, Xiaoming Li
Summary: This study aimed to assess the association between sociodemographic risk factors and HIV disclosure. The results showed that Black populations were less likely to disclose their HIV status to both partners and family/friends. Additionally, income and time since diagnosis were also found to have an impact on HIV disclosure to family/friends.
AIDS CARE-PSYCHOLOGICAL AND SOCIO-MEDICAL ASPECTS OF AIDS/HIV
(2023)
Editorial Material
Health Policy & Services
Xiaoming Li, Bankole Olatosi, Jiajia Zhang
AIDS CARE-PSYCHOLOGICAL AND SOCIO-MEDICAL ASPECTS OF AIDS/HIV
(2022)
Review
Health Care Sciences & Services
Abhishek Aggarwal, Cheuk Chi Tam, Dezhi Wu, Xiaoming Li, Shan Qiao
Summary: This systematic review evaluated the feasibility, efficacy, and intervention characteristics of AI chatbots for promoting health behavior change. The results showed that AI chatbots have high efficacy in promoting healthy lifestyles, smoking cessation, treatment or medication adherence, and reduction in substance misuse. However, there were mixed results regarding feasibility, acceptability, and usability.
JOURNAL OF MEDICAL INTERNET RESEARCH
(2023)
Review
Health Policy & Services
Xueying Yang, Shufang Sun, Chengbo Zeng, Fanghui Shi, Shan Qiao, Titilayo James, Monique J. Brown, Xiaoming Li
Summary: The aim of this study is to synthesize existing research and conduct a systematic review and meta-analysis on the relationship between HIV disclosure and engagement in the HIV care continuum among men who have sex with men living with HIV. Twenty-three studies were included, with thirteen quantitative studies and ten qualitative studies. Findings showed a positive association between HIV disclosure and linkage to care, ART initiation, retention in care, and viral suppression outcomes. Qualitative analysis complemented the quantitative findings by uncovering motivations underlying non-HIV disclosure and participation in the HIV care continuum. More research is needed to confirm the magnitude of effect sizes.
AIDS CARE-PSYCHOLOGICAL AND SOCIO-MEDICAL ASPECTS OF AIDS/HIV
(2023)
Article
Health Care Sciences & Services
Brooks Yelton, Jancham Rachel Rumthao, Mayank Sakhuja, Mark M. Macauda, Lorie Donelle, Michelle A. Arent, Xueying Yang, Xiaoming Li, Samuel Noblet, Daniela B. Friedman
Summary: This qualitative study aimed to understand the barriers and facilitators of social determinants of health (SDOH) assessment, documentation, and referral in different healthcare settings and roles. The study found that healthcare providers were aware of the importance of including patient SDOH in assessment and intervention but faced barriers such as time constraints, stigma around discussing SDOH, and limited referral protocols.
JMIR FORMATIVE RESEARCH
(2023)
Article
Multidisciplinary Sciences
Cheuk Chi Tam, Shan Qiao, Camryn Garrett, Ran H. Zhang, Atefeh Aghaei, Abhishek Aggarwal, Alain Litwin, Xiaoming Li
Summary: This study examined substance use behaviors among COVID-19 long haulers and found that substance use is common in this population. The results showed that psychiatric symptoms were positively associated with substance use behaviors, while personal mastery and social support were negatively associated. Therefore, substance use prevention and mental health services for COVID-19 long haulers should focus on promoting personal mastery and social support.
Article
Public, Environmental & Occupational Health
Ran Zhang, Wendi Da, Yuejiao Zhou, Zhiyong Shen, Shan Qiao, Xiaoming Li
Summary: Appropriate parental HIV disclosures benefit parents, children, and family relations. This study investigated how psychosocial factors predict HIV disclosure stage transitions among PLH in China, using the Health Action Process Approach. Results showed that action self-efficacy and action planning were significant predictors of parental HIV disclosure stage transitions. Considering stage-specific psychosocial predictors may contribute to effective interventions to promote appropriate HIV disclosure among PLH in China.
Article
Public, Environmental & Occupational Health
Chengbo Zeng, Jiajia Zhang, Zhenlong Li, Xiaowen Sun, Huan Ning, Xueying Yang, Sharon Weissman, Bankole Olatosi, Xiaoming Li
Summary: This study found that COVID-19 booster coverage in the Deep South of the United States was slow, with variations among different age groups. Counties with higher residential segregation had lower booster coverage, and this relationship attenuated over time.
JMIR PUBLIC HEALTH AND SURVEILLANCE
(2023)
Article
Mathematics, Applied
Xucheng Meng, Yaguang Gu, Guanghui Hu
Summary: In this paper, an extended high-order WENO finite volume scheme is presented for solving two-dimensional time-dependent Euler equations and steady-state problems. The effectiveness and robustness of the proposed method are demonstrated through various numerical examples.
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Health Policy & Services
Tianchu Lyu, Shan Qiao, Nicole Hair, Chen Liang, Xiaoming Li
Summary: This study reveals that federal funding allocation for HIV-related research in the US is influenced by structural disparities rather than aligning with HIV disease burden. The findings suggest that federal agencies tend to favor states with high research capacity over those with heavy disease burden, which may contribute to HIV-related health disparities.
AIDS CARE-PSYCHOLOGICAL AND SOCIO-MEDICAL ASPECTS OF AIDS/HIV
(2023)
Article
Health Policy & Services
Fengshi Jing, Qingpeng Zhang, Weiming Tang, Johnson Zixin Wang, Joseph Tak-fai Lau, Xiaoming Li
Summary: This study develops a data-driven approach to reconstruct the social network of MSM communities. The method accurately reconstructs the social networks using locally observed information and parameter learning.
AIDS CARE-PSYCHOLOGICAL AND SOCIO-MEDICAL ASPECTS OF AIDS/HIV
(2023)
