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学者姓名：黎勇
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Abstract ：
The combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H-3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough.
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| GB/T 7714 | Yu, Tiantian , Li, Yong . Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary [J]. | ADVANCES IN MATHEMATICAL PHYSICS , 2023 , 2023 . |
| MLA | Yu, Tiantian 等. "Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary" . | ADVANCES IN MATHEMATICAL PHYSICS 2023 (2023) . |
| APA | Yu, Tiantian , Li, Yong . Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary . | ADVANCES IN MATHEMATICAL PHYSICS , 2023 , 2023 . |
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Abstract ：
This paper is concerned with the stability of traveling waves for a Keller-Segel model with singular chemotactic term and zero chemo-attractant diffusion, where the model and the waves are established to explain the propagation of bacteria pulses along a capillary tube observed in Adler's experiment [1]. By applying the detailed spectral analysis, Evans function method and special transformations and combining with some numerical simulations, in some range of the parameters all the waves are shown to be spectrally stable in some exponentially weighted spaces, and in other range of parameters all the waves are shown to be unstable in any exponentially weighted spaces. The local well-posedness of the classical positive solution to the Cauchy problem of the model is also obtained by applying semigroup argument and some special transformations. (c) 2021 Elsevier Inc. All rights reserved.
Keyword ：
Stability Stability Evans function Evans function Traveling waves Traveling waves Spectral analysis Spectral analysis Chemotactic model Chemotactic model
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| GB/T 7714 | Li, Yi , Li, Yong , Wu, Yaping et al. Spectral stability of bacteria pulses for a Keller-Segel chemotactic model [J]. | JOURNAL OF DIFFERENTIAL EQUATIONS , 2021 , 304 : 229-286 . |
| MLA | Li, Yi et al. "Spectral stability of bacteria pulses for a Keller-Segel chemotactic model" . | JOURNAL OF DIFFERENTIAL EQUATIONS 304 (2021) : 229-286 . |
| APA | Li, Yi , Li, Yong , Wu, Yaping , Zhang, Hao . Spectral stability of bacteria pulses for a Keller-Segel chemotactic model . | JOURNAL OF DIFFERENTIAL EQUATIONS , 2021 , 304 , 229-286 . |
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Abstract ：
The quasineutral limit of the isothermal Navier-Stokes-Poisson system is rigorously proved when the combined quasineutral and vanishing viscosity limit is considered in a domain with boundary. The convergence of the global weak solution for Navier-Stokes-Poisson system to the strong solution for incompressible Euler equations is obtained. (C) 2021 Elsevier Ltd. All rights reserved.
Keyword ：
Incompressible Euler equations Incompressible Euler equations Navier-Stokes-Poisson Navier-Stokes-Poisson Boundary layer Boundary layer Quasineutral limit Quasineutral limit
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| GB/T 7714 | Ju, Qiangchang , Li, Yong , Yu, Tiantian . Quasi-neutral limit of the Isothermal Naiver-Stokes-Poisson with boundary [J]. | APPLIED MATHEMATICS LETTERS , 2021 , 121 . |
| MLA | Ju, Qiangchang et al. "Quasi-neutral limit of the Isothermal Naiver-Stokes-Poisson with boundary" . | APPLIED MATHEMATICS LETTERS 121 (2021) . |
| APA | Ju, Qiangchang , Li, Yong , Yu, Tiantian . Quasi-neutral limit of the Isothermal Naiver-Stokes-Poisson with boundary . | APPLIED MATHEMATICS LETTERS , 2021 , 121 . |
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Abstract ：
In this paper, we study the approximation of pi through the semiperimeter or area of a random n-sided polygon inscribed in a unit circle in R-2. We show that, with probability 1, the approximation error goes to 0 as n -> infinity, and is roughly sextupled when compared with the classical Archimedean approach of using a regular n-sided polygon. By combining both the semiperimeter and area of these random inscribed polygons, we also construct extrapolation improvements that can significantly speed up the convergence of these approximations.
Keyword ：
random polygon random polygon random division random division Borel-Cantelli lemma Borel-Cantelli lemma extrapolation extrapolation Archimedean polygon Archimedean polygon
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| GB/T 7714 | Xu, Wen-Qing , Meng, Linlin , Li, Yong . Random Polygons and Estimations of pi [J]. | OPEN MATHEMATICS , 2019 , 17 : 575-581 . |
| MLA | Xu, Wen-Qing et al. "Random Polygons and Estimations of pi" . | OPEN MATHEMATICS 17 (2019) : 575-581 . |
| APA | Xu, Wen-Qing , Meng, Linlin , Li, Yong . Random Polygons and Estimations of pi . | OPEN MATHEMATICS , 2019 , 17 , 575-581 . |
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Abstract ：
The quasineutral limit of the two-fluid Euler-Poisson system (one for ions and another for electrons) in a bounded domain of R-3 is rigorously proved by investigating the existence and the stability of boundary layers. The non-penetration boundary condition for velocities and Dirichlet boundary condition for electric potential are considered. (C) 2018 Elsevier Inc. All rights reserved.
Keyword ：
Two-fluid Euler-Poisson system Two-fluid Euler-Poisson system Quasineutral limit Quasineutral limit Boundary layer Boundary layer Compressible isothermal Euler equations Compressible isothermal Euler equations
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| GB/T 7714 | Ju, Qiangchang , Li, Yong . Quasineutral limit of the two-fluid Euler-Poisson system in a bounded domain of R-3 [J]. | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2019 , 469 (1) : 169-187 . |
| MLA | Ju, Qiangchang et al. "Quasineutral limit of the two-fluid Euler-Poisson system in a bounded domain of R-3" . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 469 . 1 (2019) : 169-187 . |
| APA | Ju, Qiangchang , Li, Yong . Quasineutral limit of the two-fluid Euler-Poisson system in a bounded domain of R-3 . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2019 , 469 (1) , 169-187 . |
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Abstract ：
In this paper, we consider the compressible quantum Navier-Stokes-Poisson equations with a linear density-dependent viscosity. By the use of a singular pressure close to vacuum, we prove the global-in-time existence of weak solutions in a three-dimensional torus for large data in the sense of distribution. Published by AIP
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| GB/T 7714 | Yang, Jianwei , Li, Yong . Global existence of weak solution for quantum Navier-Stokes-Poisson equations [J]. | JOURNAL OF MATHEMATICAL PHYSICS , 2017 , 58 (7) . |
| MLA | Yang, Jianwei et al. "Global existence of weak solution for quantum Navier-Stokes-Poisson equations" . | JOURNAL OF MATHEMATICAL PHYSICS 58 . 7 (2017) . |
| APA | Yang, Jianwei , Li, Yong . Global existence of weak solution for quantum Navier-Stokes-Poisson equations . | JOURNAL OF MATHEMATICAL PHYSICS , 2017 , 58 (7) . |
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Abstract ：
The quasi-neutral limit of the full Navier-Stokes-Fourier-Poisson system in the torus T-d (d >= 1) is considered. We rigorously prove that as the scaled Debye length goes to zero, the global-in-time weak solutions of the full Navier-Stokes-Fourier-Poisson system converge to the strong solution of the incompressible Navier-Stokes equations as long as the latter exists. In particular, the effect of large temperature variations is taken into account. (c) 2015 Elsevier Inc. All rights reserved.
Keyword ：
Quasi-neutral limit Quasi-neutral limit Relative entropy Relative entropy Full Navier-Stokes-Fourier-Poisson system Full Navier-Stokes-Fourier-Poisson system
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| GB/T 7714 | Li, Yong , Ju, Qiangchang , Xu, Wen-qing . Quasi-neutral limit of the full Navier-Stokes-Fourier-Poisson system [J]. | JOURNAL OF DIFFERENTIAL EQUATIONS , 2015 , 258 (11) : 3661-3687 . |
| MLA | Li, Yong et al. "Quasi-neutral limit of the full Navier-Stokes-Fourier-Poisson system" . | JOURNAL OF DIFFERENTIAL EQUATIONS 258 . 11 (2015) : 3661-3687 . |
| APA | Li, Yong , Ju, Qiangchang , Xu, Wen-qing . Quasi-neutral limit of the full Navier-Stokes-Fourier-Poisson system . | JOURNAL OF DIFFERENTIAL EQUATIONS , 2015 , 258 (11) , 3661-3687 . |
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Abstract ：
The paper deals with the asymptotic limits of the full compressible magnetohydrodynamic (MHD) equations in the whole space R-3 which are the coupling between the Navier-Stokes-Fourier system with the Maxwell equations governing the behavior of the magnetic field. It is rigorously shown that for the general initial data, the weak solutions of the full compressible MHD equations converge to the strong solution of the ideal incompressible MHD equations as the Mach number, the viscosity coefficients, the heat conductivity, and the magnetic diffusion coefficient go to zero simultaneously. Furthermore, the convergence rates are also obtained.
Keyword ：
asymptotic limits asymptotic limits ideal incompressible MHD equations ideal incompressible MHD equations relative entropy method relative entropy method full compressible MHD equations full compressible MHD equations
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| GB/T 7714 | Ju, Qiangchang , Li, Fucai , Li, Yong . ASYMPTOTIC LIMITS OF THE FULL COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS [J]. | SIAM JOURNAL ON MATHEMATICAL ANALYSIS , 2013 , 45 (5) : 2597-2624 . |
| MLA | Ju, Qiangchang et al. "ASYMPTOTIC LIMITS OF THE FULL COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS" . | SIAM JOURNAL ON MATHEMATICAL ANALYSIS 45 . 5 (2013) : 2597-2624 . |
| APA | Ju, Qiangchang , Li, Fucai , Li, Yong . ASYMPTOTIC LIMITS OF THE FULL COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS . | SIAM JOURNAL ON MATHEMATICAL ANALYSIS , 2013 , 45 (5) , 2597-2624 . |
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Abstract ：
The combined quasineutral and zero-electron-mass limit of the full Navier-Stokes-Fourier-Poisson system in the torus T-d (d >= 1) is considered. It is showed that, for well-prepared initial data, the weak solutions of the full Navier-Stokes-Fourier-Poisson system converge to the strong solution of the incompressible Navier-Stokes equations, as long as the latter exists. Moreover, the convergence rates are obtained. (c) 2013 Elsevier Inc. All rights reserved.
Keyword ：
Quasineutral limit Quasineutral limit Relative entropy Relative entropy Full Navier-Stokes-Fourier-Poisson system Full Navier-Stokes-Fourier-Poisson system
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| GB/T 7714 | Ju, Qiangchang , Li, Yong . Asymptotic limits of the full Navier-Stokes-Fourier-Poisson system [J]. | JOURNAL OF DIFFERENTIAL EQUATIONS , 2013 , 254 (6) : 2587-2602 . |
| MLA | Ju, Qiangchang et al. "Asymptotic limits of the full Navier-Stokes-Fourier-Poisson system" . | JOURNAL OF DIFFERENTIAL EQUATIONS 254 . 6 (2013) : 2587-2602 . |
| APA | Ju, Qiangchang , Li, Yong . Asymptotic limits of the full Navier-Stokes-Fourier-Poisson system . | JOURNAL OF DIFFERENTIAL EQUATIONS , 2013 , 254 (6) , 2587-2602 . |
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Abstract ：
This paper is concerned with the initial value problem for the non-linear Klein-Gordon-Schrodinger (KGS) equations in R(3+1) time-space. By using viscous approach, the existence of the global finite-energy solution is established for the nonlinear KGS equations by compactness argument. In addition, the uniqueness of the solution is proved by introducing a function with integral form. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.
Keyword ：
Uniqueness Uniqueness Nonlinear Nonlinear Finite-energy solution Finite-energy solution Existence Existence KGS equations KGS equations
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| GB/T 7714 | Shi, Qihong , Wang, Shu , Li, Yong . Existence and uniqueness of energy solution to Klein-Gordon-Schrodinger equations [J]. | JOURNAL OF DIFFERENTIAL EQUATIONS , 2012 , 252 (1) : 168-180 . |
| MLA | Shi, Qihong et al. "Existence and uniqueness of energy solution to Klein-Gordon-Schrodinger equations" . | JOURNAL OF DIFFERENTIAL EQUATIONS 252 . 1 (2012) : 168-180 . |
| APA | Shi, Qihong , Wang, Shu , Li, Yong . Existence and uniqueness of energy solution to Klein-Gordon-Schrodinger equations . | JOURNAL OF DIFFERENTIAL EQUATIONS , 2012 , 252 (1) , 168-180 . |
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