Query：
学者姓名：王伟伟
Refining：
Year
Type
Indexed by
Source
Complex
Co-
Language
Clean All
Abstract ：
Recently, Li–Fu–Wang (Li et al., 2022) established the optimal temporal decay rates of solutions near the equilibrium state to the 3D compressible magnetohydrodynamic system with nonlinear damping αuβ−1u for β⩾3. In this paper, we further extend Li–Fu–Wang's result to the case β>1 by finer energy estimates. © 2024
Keyword ：
Damping Damping Decay (organic) Decay (organic) Magnetohydrodynamics Magnetohydrodynamics
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Zeng, Ruixin , Fu, Shengbin , Wang, Weiwei . Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping [J]. | Applied Mathematics Letters , 2024 , 156 . |
| MLA | Zeng, Ruixin 等. "Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping" . | Applied Mathematics Letters 156 (2024) . |
| APA | Zeng, Ruixin , Fu, Shengbin , Wang, Weiwei . Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping . | Applied Mathematics Letters , 2024 , 156 . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
The stability and large-time behavior problem on the magneto-micropolar equations has evoked a considerable interest in recent years. In this paper, we study the stability and exponential decay near magnetic hydrostatic equilibrium to the two-dimensional magneto-micropolar equations with partial dissipation in the domain O= T x R. In particular, we takes advantage of the geometry of the domain T x R to divide u into zeroth mode and the nonzero modes, and obey a strong version of the Poincare's inequality, which plays a crucial role in controlling the nonlinearity. Moreover, we find that the oscillation part of the solution decays exponentially to zero. Finally, our result mathematically verifies that the stabilization effect of a background magnetic field on magneto-micropolar fluids.
Keyword ：
large-time behavior large-time behavior Magneto-micropolar fluids Magneto-micropolar fluids partial dissipation partial dissipation stability stability
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Zhang, Yajie , Wang, Weiwei . Stability and exponential decay for the 2D magneto-micropolar equations with partial dissipation [J]. | APPLICABLE ANALYSIS , 2023 , 103 (2) : 432-444 . |
| MLA | Zhang, Yajie 等. "Stability and exponential decay for the 2D magneto-micropolar equations with partial dissipation" . | APPLICABLE ANALYSIS 103 . 2 (2023) : 432-444 . |
| APA | Zhang, Yajie , Wang, Weiwei . Stability and exponential decay for the 2D magneto-micropolar equations with partial dissipation . | APPLICABLE ANALYSIS , 2023 , 103 (2) , 432-444 . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
For the Cauchy problem of the three-dimensional compressible viscoelastic flows, we establish the optimal temporal decay rates of the all-order spatial derivatives of the global strong solution in the weaker initial condition. The main novelty of this paper is that the optimal decay estimates of the highest-order derivatives of the solution is obtained by using spectral analysis and energy method, which can be considered as the further investigation to [X. Hu and G. Wu, Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows, SIAM J. Math. Anal. 45 (2013) 2815-2833] with only the lower-order derivative estimates.
Keyword ：
all-order derivatives all-order derivatives optimal temporal decay estimates optimal temporal decay estimates Viscoelastic flows Viscoelastic flows
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Fu, Shengbin , Huang, Wenting , Wang, Weiwei . Optimal temporal decay rates for the compressible viscoelastic flows [J]. | ANALYSIS AND APPLICATIONS , 2023 , 21 (05) : 1365-1389 . |
| MLA | Fu, Shengbin 等. "Optimal temporal decay rates for the compressible viscoelastic flows" . | ANALYSIS AND APPLICATIONS 21 . 05 (2023) : 1365-1389 . |
| APA | Fu, Shengbin , Huang, Wenting , Wang, Weiwei . Optimal temporal decay rates for the compressible viscoelastic flows . | ANALYSIS AND APPLICATIONS , 2023 , 21 (05) , 1365-1389 . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
In this paper, we are interested in the global well-posedness of the strong solutions to the Cauchy problem on the compressible magnetohydrodynamics system with Hall effect. Moreover, we establish the convergence rates of the above solutions trending towards the constant equilibrium (& rho; over bar ,0,B over bar )\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$({\bar{\rho }},0,\bar{\textbf{B}})$$\end{document}, provided that the initial perturbation belonging to H3(R3)& AND;B2,& INFIN;-s(R3)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$H<^>3({\mathbb {R}}<^>3) \cap B_{2, \infty }<^>{-s}({\mathbb {R}}<^>3)$$\end{document} for s & ISIN;(0,32]\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$s \in (0,\frac{3}{2}]$$\end{document} is sufficiently small.
Keyword ：
Compressible Hall-magnetohydrodynamics system Compressible Hall-magnetohydrodynamics system Fixed point theorem Fixed point theorem Optimal temporal decay rates Optimal temporal decay rates Pure energy methods Pure energy methods
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Fu, Shengbin , Wang, Weiwei . The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System [J]. | JOURNAL OF MATHEMATICAL FLUID MECHANICS , 2023 , 25 (4) . |
| MLA | Fu, Shengbin 等. "The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System" . | JOURNAL OF MATHEMATICAL FLUID MECHANICS 25 . 4 (2023) . |
| APA | Fu, Shengbin , Wang, Weiwei . The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System . | JOURNAL OF MATHEMATICAL FLUID MECHANICS , 2023 , 25 (4) . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
This paper focuses on the Rayleigh-Taylor instability in the two-dimensional system of equations of nonhomogeneous incompressible viscous fluids with capillarity effects in a horizontal periodic domain with infinite height. First, we use the modified variational method to construct (linear) unstable solutions for the linearized capillary Rayleigh-Taylor problem. Then, motivated by the Grenier's idea in (Grenier in Commun. Pure Appl. Math. 53(9):1067-1091, 2000), we further construct approximate solutions with higher-order growing modes to the capillary Rayleigh-Taylor problem and derive the error estimates between both the approximate solutions and nonlinear solutions of the capillary Rayleigh-Taylor problem. Finally, we prove the existence of escape points based on the bootstrap instability method of Hwang-Guo in (Hwang and Guo in Arch. Ration. Mech. Anal. 167(3):235-253, 2003), and thus obtain the nonlinear Rayleigh-Taylor instability result. Our instability result presents that the Rayleigh-Taylor instability can occur in the fluids with capillarity effects for any capillary coefficient ? > 0 if the critical capillary coefficient is infinite. In particular, it improves the previous Zhang's result in (Zhang in J. Math. Fluid Mech. 24(3):70-23, 2022) with the assumption of smallness of the capillary coefficient.
Keyword ：
Incompressible Navier-Stokes-Korteweg equations Incompressible Navier-Stokes-Korteweg equations Incompressible viscous fluids with capillarity effects Incompressible viscous fluids with capillarity effects Rayleigh-Taylor instability Rayleigh-Taylor instability
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Zhang, Xuyan , Tian, Fangfang , Wang, Weiwei . On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations [J]. | JOURNAL OF INEQUALITIES AND APPLICATIONS , 2023 , 2023 (1) . |
| MLA | Zhang, Xuyan 等. "On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations" . | JOURNAL OF INEQUALITIES AND APPLICATIONS 2023 . 1 (2023) . |
| APA | Zhang, Xuyan , Tian, Fangfang , Wang, Weiwei . On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations . | JOURNAL OF INEQUALITIES AND APPLICATIONS , 2023 , 2023 (1) . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
In this paper, we focus on Cauchy problem of the non-isentropic compressible Navier-Stokes-Poisson system with the initial perturbation (& rho;0-& rho; over bar ,m0,& theta;0-& theta; over bar )$$ \left({\rho} circumflex 0-\overline{\rho},{\mathbf{m}} circumflex 0,{\theta} circumflex 0-\overline{\theta}\right) $$ belonging to the space Hl(Double-struck capital R3)& AND;B1,& INFIN;-s(Double-struck capital R3)$$ {H} circumflex l\left({\mathrm{\mathbb{R}}} circumflex 3\right)\cap {\dot{B}}_{1,\infty} circumflex {-s}\left({\mathrm{\mathbb{R}}} circumflex 3\right) $$, where l & GT;4$$ l\geqslant 4 $$ and s & ISIN;[0,1]$$ s\in \left[0,1\right] $$. More importantly, we establish the optimal temporal decay rate of the global strong solution, which can be considered as further work.
Keyword ：
Besov spaces Besov spaces Navier-Stokes-Poisson system Navier-Stokes-Poisson system optimal decay rates optimal decay rates
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Fu, Shengbin , Wang, Weiwei . Optimal temporal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system [J]. | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2023 , 47 (2) : 986-1014 . |
| MLA | Fu, Shengbin 等. "Optimal temporal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system" . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES 47 . 2 (2023) : 986-1014 . |
| APA | Fu, Shengbin , Wang, Weiwei . Optimal temporal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2023 , 47 (2) , 986-1014 . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
Recently, Gao and Yao established the global existence and temporal decay rates of solutions for a system of compressible Hall-magnetohydrodynamic fluids (Gao and Yao in Discrete Contin. Dyn. Syst. 36: 3077-3106, 2016). However, because of the difficulty of derivative loss in the nonlinear terms, Gao and Yao could not provide the temporal decay for the highest-order derivatives of classical solutions. In this paper, motivated by the decomposition technique of both low and high frequencies of solutions in (Wang and Wen in Sci. China Math. 65: 1199-1228 2022), we further derive the temporal decay for the highest-order derivatives of the strong solutions. Moreover, the decay rate is optimal, since it agrees with the solutions of the linearized system.
Keyword ：
Compressible Hall-magnetohydrodynamic fluids Compressible Hall-magnetohydrodynamic fluids Fourier theory Fourier theory Highest-order derivatives Highest-order derivatives Optimal time-decay rates Optimal time-decay rates
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Sun, Rui , Guo, Yuting , Wang, Weiwei . Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations [J]. | BOUNDARY VALUE PROBLEMS , 2022 , 2022 (1) . |
| MLA | Sun, Rui 等. "Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations" . | BOUNDARY VALUE PROBLEMS 2022 . 1 (2022) . |
| APA | Sun, Rui , Guo, Yuting , Wang, Weiwei . Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations . | BOUNDARY VALUE PROBLEMS , 2022 , 2022 (1) . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
This paper focuses on the Rayleigh-Taylor instability in the system of equations of the two-dimensional nonhomogeneous incompressible elasticity fluid in a horizontal periodic domain with infinite height. First, we use variational method to construct (linear) unstable solutions for the linearized elastic Rayleigh-Taylor problem. Then, motivated by the Grenier's idea in [1.0], we further construct approximate solutions with higher-order growing modes to the elastic Rayleigh-Taylor problem due to the absence of viscosity in the system, and derive the error estimates between both the approximate solutions and nonlinear solutions of the elastic Rayleigh-Taylor problem. Finally, we prove the existence of escape points based on the bootstrap instability method of Hwang-Guo in [25], and thus obtain the nonlinear Rayleigh- Taylor instability result, which presents that the Rayleigh-Taylor instability can occur in elasticity fluids with small elasticity coefficient. (C) 2022 Elsevier Inc. All rights reserved.
Keyword ：
Approximate solutions Approximate solutions Bootstrap instability method Bootstrap instability method Incompressible elasticity fluids Incompressible elasticity fluids Rayleigh-Taylor instability Rayleigh-Taylor instability
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Hua, Zhiwei , Jiang, Han , Zhang, Xuyan et al. On Rayleigh-Taylor instability in nonhomogeneous incompressible elasticity fluids [J]. | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2022 , 515 (2) . |
| MLA | Hua, Zhiwei et al. "On Rayleigh-Taylor instability in nonhomogeneous incompressible elasticity fluids" . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 515 . 2 (2022) . |
| APA | Hua, Zhiwei , Jiang, Han , Zhang, Xuyan , Wang, Weiwei . On Rayleigh-Taylor instability in nonhomogeneous incompressible elasticity fluids . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2022 , 515 (2) . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
In this paper we investigate the existence and time-decay rates of strong solutions with small perturbation to the systems of equations of a compressible magneto-hydrodynamic fluid with nonlinear damping. First we reformulate the system into a perturbation form. Then we establish a priori estimates of solutions, and prove the existence of the global-in-time based on the local existence of unique solutions. Finally we will establish the optimal time-decay rates of the non-homogeneous system by constructing some decay estimates of the linearized system based on the decomposition technique of both the low and high frequencies of solutions as in [40]. (C) 2022 Elsevier Inc. All rights reserved.
Keyword ：
Fourier theory Fourier theory Global existence and uniqueness Global existence and uniqueness magnetohydrodynamic fluids magnetohydrodynamic fluids Optimal time-decay rates Optimal time-decay rates Three-dimensional compressible Three-dimensional compressible
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Li, Jiedi , Fu, Shengbin , Wang, Weiwei . On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping [J]. | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2022 , 515 (2) . |
| MLA | Li, Jiedi et al. "On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping" . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 515 . 2 (2022) . |
| APA | Li, Jiedi , Fu, Shengbin , Wang, Weiwei . On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2022 , 515 (2) . |
| Export to | NoteExpress RIS BibTex |
Version ：
Abstract ：
Recently, Hattori-Lagha established the global existence and asymptotic behavior of the solutions for a three-dimensional compressible chemotaxis system with chemoattractant and repellent (Hattori and Lagha in Discrete Contin. Dyn. Syst. 41(11):5141-5164, 2021). Motivated by Hattori-Lagha's work, we further investigated the optimal time-decay rates of strong solutions with small perturbation to the three-dimensional Keller-Segel system coupled to the compressible Navier-Stokes equations, which models for the motion of swimming bacteria in a compressible viscous fluid. First, we reformulate the system into a perturbation form. Then we establish a prior estimates of solutions and prove the existence of the global-in-time solutions based on the local existence of unique solutions. Finally, we will establish the optimal time-decay rates of the nonhomogeneous system by the decomposition technique of both low and high frequencies of solutions as in (Wang and Wen in Sci. China Math., 2020, https://doi.org/10.1007/s11425-020-1779-7). Moreover, the decay rate is optimal since it agrees with the solutions of the linearized system.
Keyword ：
Compressible chemotactic fluids Compressible chemotactic fluids Fourier theory Fourier theory Global existence Global existence Optimal time-decay rates Optimal time-decay rates Uniqueness Uniqueness
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Guo, Yuting , Sun, Rui , Wang, Weiwei . Optimal time-decay rates of the Keller-Segel system coupled to compressible Navier-Stokes equation in three dimensions [J]. | BOUNDARY VALUE PROBLEMS , 2022 , 2022 (1) . |
| MLA | Guo, Yuting et al. "Optimal time-decay rates of the Keller-Segel system coupled to compressible Navier-Stokes equation in three dimensions" . | BOUNDARY VALUE PROBLEMS 2022 . 1 (2022) . |
| APA | Guo, Yuting , Sun, Rui , Wang, Weiwei . Optimal time-decay rates of the Keller-Segel system coupled to compressible Navier-Stokes equation in three dimensions . | BOUNDARY VALUE PROBLEMS , 2022 , 2022 (1) . |
| Export to | NoteExpress RIS BibTex |
Version ：
Export
| Results： |
Selected to |
| Format： |
