Zehua Zhao

ORCID: 0000-0003-3732-1812
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About
Contact & Profiles
Research Areas
  • Advanced Mathematical Physics Problems
  • Mathematical Analysis and Transform Methods
  • Spectral Theory in Mathematical Physics
  • Nonlinear Waves and Solitons
  • Smart Grid Energy Management
  • Nonlinear Photonic Systems
  • Stability and Controllability of Differential Equations
  • Advancements in Battery Materials
  • advanced mathematical theories
  • Advanced Harmonic Analysis Research
  • Cold Atom Physics and Bose-Einstein Condensates
  • Numerical methods in inverse problems
  • Supercapacitor Materials and Fabrication
  • Caching and Content Delivery
  • Black Holes and Theoretical Physics
  • Advanced Battery Materials and Technologies
  • Advanced Battery Technologies Research
  • Navier-Stokes equation solutions
  • Stochastic processes and financial applications
  • Microgrid Control and Optimization
  • Quantum Mechanics and Non-Hermitian Physics
  • Electric Vehicles and Infrastructure
  • Advanced battery technologies research
  • Electromagnetic Simulation and Numerical Methods
  • Text and Document Classification Technologies

The University of Sydney
2021-2025

Beijing Institute of Technology
2021-2025

Xi'an Jiaotong University
2023-2024

Ministry of Ecology and Environment
2023-2024

Nanjing Institute of Environmental Sciences
2023-2024

Ministry of Education of the People's Republic of China
2024

Guizhou University
2024

Jianghan University
2023

Ministry of Industry and Information Technology
2022

Johns Hopkins University
2018-2022

The wide dissemination of fake news has affected our lives in many aspects, making detection important and attracting increasing attention. Existing approaches make substantial contributions this field by modeling from a single-modal or multi-modal perspective. However, these modal-based methods can result sub-optimal outcomes as they ignore reader behaviors consumption authenticity verification. For instance, haven't taken into consideration the component-by-component reading process:...

10.1109/tbdata.2025.3527230 article EN IEEE Transactions on Big Data 2025-01-01

Abstract Aqueous Zn‐ion batteries are the ideal candidate for large‐scale energy storage systems owing to their high safety and low cost. However, uncontrolled deposition parasitic reaction of Zn metal anode hinder commercial application. Here, 2D metal‐organic‐framework (MOF) nanoflakes covered on surface proposed enable dendrite‐free long lifespan batteries. The MOF can facilitate desolvation process accelerate kinetic due its special channel structure. abundant zincopilicity sites realize...

10.1002/smll.202304723 article EN Small 2023-10-05

.In this paper we discuss quantitative (pointwise) decay estimates for solutions to the 3D cubic defocusing nonlinear Schrödinger equation with various (deterministic and random) initial data. We show that enjoy same rate as linear ones. The regularity assumption on data is much lower than in previous results (see [C. Fan Z. Zhao, Discrete Contin. Dyn. Syst., 41 (2021), pp. 3973–3984] references therein), and, moreover, quantify decay, which another novelty of work. Furthermore, (physical)...

10.1137/23m1557544 article EN SIAM Journal on Mathematical Analysis 2024-05-03

10.1016/j.jmaa.2025.129310 article EN Journal of Mathematical Analysis and Applications 2025-01-01

Strichartz estimates, well-posedness theory and long time behavior for (nonlinear) Schr\"odinger equations on waveguide manifolds $\mathbb{R}^m \times \mathbb{T}^n$ are intensively studied in recent decades while the corresponding control observability estimates remain incomplete. The purpose of this short paper is to investigate controllability (semi-periodic) setting. Our main result establishes local exact cubic nonlinear (NLS) $\mathbb{R}^2 \mathbb{T}$, under certain geometric conditions...

10.48550/arxiv.2502.09312 preprint EN arXiv (Cornell University) 2025-02-13

Developing a functional separator is an important strategy to improve the electrochemical performance of Zn anode by suppressing dendrite growth and parasitic side reactions, thus advancing aqueous zinc-ion batteries. Herein, we experimentally realize with gradient-structure based on CeF3 nanoparticles functionalized glass fibers. The experimental theoretical results confirmed that can tailor Zn2+ flux restrain SO42- transport, promoting dense deposition. strong interaction between H2O...

10.1021/acs.nanolett.5c01125 article EN Nano Letters 2025-04-24

In this article, we prove global well-posedness and scattering for the defocusing quintic nonlinear Schrödinger equation on cylinder $\mathbb{R} \times \mathbb{T}$ in $H^1$. We establish an infinite vector-valued linear profile decomposition $L^2_x h^\alpha$, $0 < \alpha \le 1$, motivated by of mass-critical $L^2(\mathbb{R}^d )$, $d\ge 1$. Then using solution one-discrete-component resonant system, whose can be proved techniques established Dodson, to approximate profile, $H^1$ concentration...

10.1137/19m1270586 article EN SIAM Journal on Mathematical Analysis 2020-01-01

Battery Energy Storage Systems (BESSs) play an important role in modern energy systems. At present, stationary BESSs have found wide applicability real-word applications, while there is a growing trend exploiting the use of mobile (MBESSs) for serving demands at geographical locations that can vary over time. This paper proposes comprehensive decision-making framework MBESS dispatches multiple carriers to deliver number batteries serve residential houses planned grid outage event. The...

10.1109/tsg.2023.3245094 article EN IEEE Transactions on Smart Grid 2023-02-22

.In this paper, we study the well-posedness theory and scattering asymptotics for fourth-order Schrödinger equations (4NLS) on waveguide manifolds (semiperiodic spaces) \(\mathbb{R}^d\times \mathbb{T}^n\), \(d \geq 5\), \(n=1,2,3\). The torus component \(\mathbb{T}^n\) can be generalized to \(n\)-dimensional compact \(\mathcal{M}^n\). First, modify Strichartz estimates 4NLS manifolds, with which establish in proper function spaces via standard contraction mapping method. Moreover, prove...

10.1137/22m1529312 article EN SIAM Journal on Mathematical Analysis 2024-02-12

With increasingly prevalence of distributed renewable energy sources, Peer-to-Peer (P2P) trading has become an active research direction. This study explores the role participants' Socio-Demographic Characteristics (SDCs) in decision-making process P2P by proposing a personalized system. The system periodically collects bids and pair sellers buyers to form transactions. An attention-based SDC inference is developed, which identifies participant's SDCs from on-site historical smart meter...

10.1016/j.apenergy.2024.123333 article EN cc-by Applied Energy 2024-05-25

We consider the problem of large data scattering for defocusing cubic nonlinear Schrödinger equation on [Formula: see text]. This is critical both at level energy and mass. The key ingredients are global-in-time Stricharz estimate, resonant system approximation, profile decomposition induction method. Assuming 2d system, we prove this problem. analogue a studied by Hani Pausader.

10.1142/s0219891619500048 article EN Journal of Hyperbolic Differential Equations 2019-03-01

The practical application of poly(ethylene oxide) (PEO)-based electrolytes in all-solid-state lithium metal batteries is hindered by its low ionic conductivity at room temperature, resulting from the high crystallinity PEO. Decreasing PEO can increase PEO-based but sacrifice mechanical property that also affects application. Herein, we design and experimentally realize a completely amorphous electrolyte with promising strength. It glass fiber-reinforced functionalized nano-LiF succinonitrile...

10.1021/acsaem.3c02162 article EN ACS Applied Energy Materials 2023-12-14

10.1016/j.jde.2020.11.023 article EN publisher-specific-oa Journal of Differential Equations 2020-11-25

Global Well-posedness for the Focusing Cubic NLS on Product Space $\mathbb{R} \times \mathbb{T}^3$

10.1137/20m1364953 article EN SIAM Journal on Mathematical Analysis 2021-01-01

In this article, we study long time dynamics for defocusing cubic nonlinear Schrödinger equations (NLS) on three dimensional product space. First, apply the decoupling method in Bourgain and Demeter [Ann. of Math. (2), 182 (2015), pp. 351--389] to establish a bilinear Strichartz estimate. Moreover, prove global well-posedness defocusing, NLS space with rough initial data ($H^s$, $s>\frac{5}{6}$) based I-method At last, discuss growth higher Sobolev norm problem which is tightly linked weak...

10.1137/20m1322911 article EN SIAM Journal on Mathematical Analysis 2021-01-01

Abstract Increasingly prevalence of distributed energy resources (such as solar panels and wind turbines) has been transforming traditional consumers to become prosumers (producers‐and‐consumers). This in turn drives the development peer‐to‐peer trading, which refers trading generated by directly among consumers. paper proposes a new electricity market prototype that facilitates with consideration their preferences terms social relationships each other. A data‐driven network model is...

10.1049/rpg2.12349 article EN IET Renewable Power Generation 2021-12-29

10.1016/j.jmaa.2020.124654 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2020-10-01

Blockchain technology has been recognised as a promising for supporting Peer-to-Peer (P2P) energy trading—an emerging paradigm in which trading is performed directly between end customers. The state-of-the-art blockchain designs P2P can only support less compute-intensive tasks and/or rely on the set up of long challenge time to ensure correctness transactions, restricts systems' scalability and applicability diverse applications. This paper proposes new dual-blockchain system trading....

10.1049/stg2.12074 article EN cc-by-nc IET Smart Grid 2022-05-27

10.1016/j.jde.2022.11.056 article EN Journal of Differential Equations 2022-12-05
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