Yingzhe Fan

Global Existence of Solutions to the Cauchy Problem for the Relativistic Vlasov–Maxwell–Fokker–Planck System in Low-Regularity Spaces

Yingzhe Fan, Dali Hu

This paper establishes the global-in-time existence and uniqueness of mild solutions to the relativistic Vlasov–Maxwell–Fokker–Planck (VMFP) system near a global Maxwellian equilibrium. We adopt a low-regularity functional framework, namely the mixed-norm space Lk1LT∞Lp2 introduced for kinetic equations, which requires only integrability in …

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Global Solutions to the Vlasov–Fokker–Planck Equation with Local Alignment Forces Under Specular Reflection Boundary Condition

Yingzhe Fan

In this article, we establish the existence of global mild solutions to the Vlasov–Fokker–Planck equation with local alignment forces under specular reflection boundary conditions in the low-regularity function space Lk1LT∞Lv2. A key difficulty is that the macroscopic averaged velocity u does not …

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A Multi-Model Fusion Framework for Aeroengine Remaining Useful Life Prediction

Bing Qing Tan, Yang Zhang, Lei Wang, Yanming Chang et autres

As the core component of aircraft systems, aeroengines require accurate Remaining Useful Life (RUL) prediction to ensure flight safety, which serves as a key part of Prognostics and Health Management (PHM). Traditional RUL prediction methods primarily fall into two main categories: physics-based …

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Global existence for the Vlasov–Euler–Fokker–Planck system in low-regularity space

Bing Tan, Yingzhe Fan

This paper investigates the global well-posedness of the Cauchy problem for the Vlasov–Fokker–Planck equation coupled with the incompressible Euler system around a normalized global Maxwellian in a periodic spatial domain. The system describes the interaction between a fluid governed by Euler equations …

Statistical Optimization and Analysis on the Spatial Distributions of Ice Ridge Keel in the Northwestern Weddell Sea, Antarctica

Bing Tan, Chunchun Gao, Ting Wang, Peng Lü et autres

Statistical optimization methods serve as fundamental tools for studying sea-ice-related phenomena in the polar regions. To comprehensively analyze the spatial distributions of ice ridge keels, including the draft and spacing distributions, a statistical optimization model was developed with the aim of determining …

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On the Cauchy Problem for the Vlasov-Maxwell-Fokker-Planck System in Low Regularity Space

Yingzhe Fan, Lihua Tan

In this study, we investigate the Cauchy problem for the Vlasov-Maxwell-Fokker-Planck system near a global Maxwellian in low regularity space. We establish the existence of global mild solutions to the system by employing the energy method, provided that the perturbative initial data …

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The low-regularity solutions to the Vlasov-Poisson-Landau systems in the whole space

Lihua Tan, Yingzhe Fan

In this paper, we investigate the Vlasov-Poisson-Landau system in the whole space. Our primary objective is to establish the global existence and algebraic time-decay rates of mild solutions to the Vlasov-Poisson-Landau system near Maxwellians. These results are valid under the assumption that …

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Impact Factors for Difficulties in Oral English Learning

Yingzhe Fan

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Low-regularity solutions to Fokker-Planck-type systems in the whole space

Lihua Tan, Yingzhe Fan

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Global mild solutions to the relativistic Vlasov–Poisson–Fokker–Planck system in the whole space

Lihua Tan, Yingzhe Fan

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Global solutions and exponential time decay rates to the Navier–Stokes–Vlasov–Fokker–Planck system in low regularity space

Lihua Tan, Yingzhe Fan

In this paper, we show that the mild solutions to the Navier–Stokes–Vlasov–Fokker–Planck system exist globally in time near a global Maxwellian, provided that we take small-amplitude initial data in the function space Lk1LT∞Lv2. As a product, we also get the exponential time …

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The Fokker–Planck–Boltzmann equation in low regularity space

Yingzhe Fan, Yuanjie Lei

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