- Gas Dynamics and Kinetic Theory
- Navier-Stokes equation solutions
- Cold Atom Physics and Bose-Einstein Condensates
- Particle Dynamics in Fluid Flows
- Nonlinear Partial Differential Equations
- Mathematical Biology Tumor Growth
- Physics of Superconductivity and Magnetism
- Strong Light-Matter Interactions
- Advanced Mathematical Modeling in Engineering
- Point processes and geometric inequalities
- Advanced Mathematical Physics Problems
- Nonlinear Differential Equations Analysis
- COVID-19 epidemiological studies
- Computational Fluid Dynamics and Aerodynamics
- Quantum and electron transport phenomena
- Quantum Electrodynamics and Casimir Effect
- Data-Driven Disease Surveillance
- Meta-analysis and systematic reviews
- Vehicular Ad Hoc Networks (VANETs)
- Statistical Methods and Bayesian Inference
- Advanced Computational Techniques and Applications
- scientometrics and bibliometrics research
- Entrepreneurship Studies and Influences
- Aerosol Filtration and Electrostatic Precipitation
- Solidification and crystal growth phenomena
Nanjing University
2019-2025
TU Wien
2024
Ludong University
2023
Institute of Theoretical Physics
2023
China University of Geosciences
2022
Wuhan Institute of Physics and Mathematics
2022
Chinese Academy of Sciences
2022
Tianjin University
2021
Novartis (Switzerland)
2021
Carnegie Mellon University
2020
In December 2019, the novel coronavirus pneumonia (COVID-19) occurred in Wuhan, Hubei Province, China. The epidemic quickly broke out and spread throughout country. Now it becomes a pandemic that affects whole world. this study, three models were used to fit predict situation China: modified SEIRD (Susceptible-Exposed-Infected-Recovered-Dead) dynamic model, neural network method LSTM (Long Short-Term Memory), GWR (Geographically Weighted Regression) model reflecting spatial heterogeneity....
Use of historical data in clinical trial design and analysis has shown various advantages such as reduction number subjects increase study power. The metaanalytic-predictive (MAP) approach accounts with a hierarchical model for between-trial heterogeneity order to derive an informative prior from data. In this paper, we introduce the package RBesT (R Bayesian evidence synthesis tools) which implements MAP normal (known sampling standard deviation), binomial Poisson endpoints. is evaluated by...
The nonrelativistic energies of the hydrogen molecular ions ${\mathrm{H}}_{2}^{+},$ ${\mathrm{D}}_{2}^{+},$ ${\mathrm{T}}_{2}^{+},$ ${\mathrm{HD}}^{+},$ ${\mathrm{HT}}^{+},$ and ${\mathrm{DT}}^{+}$ are evaluated for ground first-excited P states, using variational wave functions in Hylleraas coordinates. dipole polarizabilities states determined precisely. Our results represent most accurate calculations reported so far. For example, polarizability is $3.168725802{67(1)a}_{0}^{3},$ with...
We investigate the different types of matter-wave solitons in spin-orbit-coupled spin-2 spinor Bose-Einstein condensates. Using mean-field theory and adopting multiscale perturbation method, original five-component Gross-Pitaevskii condensate model can be reduced to a single effective nonlinear Schrödinger equation, which allows us find analytical soliton solutions this system. In way, for regimes spin-orbit coupling, Raman interatomic interactions, we approximate bright dark solutions....
We investigate the moving matter-wave solitons in spin—orbit coupled Bose—Einstein condensates (BECs) by a perturbation method. Starting with one-dimensional Gross—Pitaevskii equations, we derive new KdV-like equation to which an approximate solution is obtained assuming weak Raman coupling and strong coupling. The derivation of may be useful understand properties excitation BECs. find different types solitons: dark—bright, bright—bright dark—dark solitons. Interestingly, soliton for...
Abstract We re-examine the combined semi-classical and mean-field limit in N -body fermionic Schrödinger equation with pure state initial data using Husimi measure framework. The involves three residue types: kinetic, semiclassical, mean-field. main result of this paper is to provide better estimates for kinetic than those Chen et al. (J Stat Phys 182(2):1–41, http://arxiv.org/abs/1910.09892v4 , 2021). Especially, estimate shown be smaller semiclassical by a mixed-norm two-particle reduced...
<p style='text-indent:20px;'>We study a kinetic-fluid model in <inline-formula><tex-math id="M1">\begin{document}$ 3D $\end{document}</tex-math></inline-formula> bounded domain. More precisely, this is coupling of the Vlasov-Fokker-Planck equation with local alignment force and compressible Navier-Stokes equations nonhomogeneous Dirichlet boundary condition. We prove global existence weak solutions to it for isentropic fluid (adiabatic coefficient...
This work is a series of two articles. The main goal to rigorously derive the degenerate parabolic-elliptic Keller-Segel system in sub-critical regime from moderately interacting stochastic particle system. In first article [7], we establish classical solution theory and its non-local version. second article, which current one, propagation chaos result, where obtained used required estimates for Due degeneracy non-linear diffusion singular aggregation effect system, perform an approximation...
The global-in-time existence of weak solutions to a degenerate Cahn–Hilliard cross-diffusion system with singular potential in bounded domain no-flux boundary conditions is proved. model consists two coupled parabolic fourth-order partial differential equations and describes the evolution fiber phase volume fraction solute concentration, modeling pre-patterning lymphatic vessel morphology. satisfies segregation property if this holds initially. proof based on three-level approximation scheme...
A spectral-fractional Cahn-Hilliard cross-diffusion system, which describes the pre-patterning of lymphatic vessel morphology in collagen gels, is studied. The model consists two higher-order quasilinear parabolic equations and evolution fiber phase volume fraction solute concentration. free energy nonconvex Flory-Huggins a fractional gradient energy, modeling nonlocal long-range correlations. existence global weak solutions to this system bounded domain with no-flux boundary conditions...
First-tracking publications to covid-19-related meta-analytic evidences benefited evidence-based policymaking for safeguarding public mental health in this pandemic. However, such makeshifts had been concerned cause troubling unreliable estimates problems epidemics. From 98 studies with 18,604,876 individuals across 94 countries published the pandemic, we found significant risk of bias (ROBs) publication, one meta-analysis being per five days at peak. Despite large-scale samples these...
Patient delay of COVID-19 patients occurs frequently, which poses a challenge to the overall epidemic situation. In this study, we aimed evaluate extent patient delay, explore its factors, and investigate effects interval on A retrospective cohort study was conducted with 136 in Tianjin, China. Factors associated were explored using logistic regression models. The relationship investigated by spearman correlation analysis mean absolute error between lagging days factors mainly imported...
ART-2 is a self-organized and unsupervised artificial neural network constructed from adaptive resonance theory which can be used to classify continuous active data. We have found that the limited of same phase data with different amplitudes insensitivity gradual change during simulation classified network. Therefore, we propose new model based on theory. provide construction relevant algorithm as well comparison ART-2.
Abstract The influence of gravitational field on entanglement bipartite states is investigated based the recent idea superposition field. Different from earlier considerations, we study case where cannot be separated unitarily system in final stage interaction. When different are orthogonal, generated for an initial product state. If non-orthogonal, can and amount depends overlap parameter between states. transfer state through quantum teleportation also studied, which might lead to...
In this paper, we derive rigorously a non-local cross-diffusion system from an interacting stochastic many-particle in the whole space. The convergence is proved sense of probability by introducing intermediate particle with mollified interaction potential, where mollification algebraic scaling. main idea proof to study time evolution stopped process and obtain Gronwall type estimate using Taylor's expansion around limiting process.