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1,183 results on '"Zhang, Zhibing"'

13. An improved Liouville type theorem for Beltrami flows

Author

Wang, Na and Zhang, Zhibing

Subjects
Mathematics - Analysis of PDEs
Abstract

In this note, we improved the Liouville type theorem for the Beltrami flows. Two different methods are used to prove it. One is the monotonicity method, and the other is proof by contradiction. The conditions that we proposed on Beltrami flows are significantly weaker than previously known conditions., Comment: to appear in Nonlinearity

Published
2021
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18. Longitudinal Automatic Carrier Landing with Explicit Nonlinear Model Predictive Controller and Improved Pigeon Inspired Optimization

Author

Zhang, Zhibing, Yuan, Yang, Zhen, Chong, Deng, Yimin, Li, Ziqiang, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Hirche, Sandra, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Möller, Sebastian, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Zhang, Junjie James, Series Editor, Yan, Liang, editor, and Deng, Yimin, editor

Published
2023
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24. Solvability of an inhomogeneous boundary value problem for steady MHD equations

Author

Zhang, Zhibing and Zhao, Chunyi

Subjects
Mathematics - Analysis of PDEs
Abstract

In this paper, we consider the steady MHD equations with inhomogeneous boundary conditions for the velocity and the tangential component of the magnetic field. Using a new construction of the magnetic lifting, we obtain existence of weak solutions under sharp assumption on boundary data for the magnetic field., Comment: 8 pages

Published
2020
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25. Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system

Author

Zeng, Yong and Zhang, Zhibing

Subjects
Mathematics - Analysis of PDEs, 35J60, 35Q35, 35Q60
Abstract

Under the condition of small external forces, we obtain existence of a weak solution of the steady Hall-MHD system with H\"{o}lder continuous magnetic field. We also established regularity of weak solutions provided that magnetic fields are bounded. For sufficiently small external forces, uniqueness result is also established., Comment: the final version

Published
2020
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32. Existence and Regularity of Weak Solutions for a Thermoelectric Model

Author

Pan, Xing-Bin and Zhang, Zhibing

Subjects
Mathematics - Analysis of PDEs
Abstract

This paper concerns a time-independent thermoelectric model with two different boundary conditions. The model is a nonlinear coupled system of the Maxwell equations and an elliptic equation. By analyzing carefully the nonlinear structure of the equations, and with the help of the De Giorgi-Nash estimate for elliptic equations, we obtain existence of weak solutions on Lipschitz domains for general boundary data. Using Campanato's method, we establish regularity results of the weak solutions., Comment: accepted by Nonlinearity

Published
2019
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42. Comparison results for eigenvalues of curlcurl operator and Stokes operator

Author

Zhang, Zhibing

Subjects
Mathematics - Analysis of PDEs
Abstract

This paper mainly establishes comparison results for eigenvalues of $\curl\curl$ operator and Stokes operator. For three-dimensional simply connected bounded domains, the $k$-th eigenvalue of $\curl\curl$ operator under tangent boundary condition or normal boundary condition is strictly smaller than the $k$-th eigenvalue of Stokes operator. For any dimension $n\geq2$, the first eigenvalue of Stokes operator is strictly larger than the first eigenvalue of Dirichlet Laplacian. For three-dimensional strictly convex domains, the first eigenvalue of $\curl\curl$ operator under tangent boundary condition or normal boundary condition is strictly larger than the second eigenvalue of Neumann Laplacian., Comment: Zeitschrift fur angewandte Mathematik und Physik 2018

Published
2018
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43. Applications of a formula on Beltrami flow

Author

Zeng, Yong and Zhang, Zhibing

Subjects
Mathematics - Analysis of PDEs
Abstract

In this note, we obtain uniqueness results for Beltrami flow in both bounded and unbounded domain with nonempty boundary by establishing an elementary but useful formula involving operators $\divg$ and $\curl$. We also use this formula to deal with Maxwell and Stokes eigenvalue problems., Comment: Mathematical Methods in the Applied Sciences 2018

Published
2018
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