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学者姓名：王腾
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摘要 ：
We are concerned with the stability and convergence rate of planar stationary solution to the compressible heat conducting gas in half space \BbbR 3 +under outflow condition. (1) It is shown that a corresponding planar stationary solution is time asymptotically stable in three cases (i.e., supersonic, subsonic, and transonic), respectively, provided the initial perturbation in a certain Sobolev space and the boundary strength are sufficiently small. (2) Moreover, the convergence rate of the solution toward the stationary solution is obtained, provided that the initial perturbation belongs to the weighted Sobolev space. Precisely, we obtain an algebraic decay rate provided that an initial perturbation decays in a tangential direction with the algebraic rate for a supersonic flow. The corresponding algebraic convergence rate is also obtained for a transonic flow, which is worse than that for the supersonic flow due to a degenerate property of the transonic flow. Each proof is given by deriving a priori estimates of the perturbation from the stationary wave by using a time and space weighted energy method.
关键词 ：
stability stability convergence rate convergence rate planar stationary solution planar stationary solution three dimensions three dimensions compressible heat conducting gas compressible heat conducting gas
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| GB/T 7714 | Wang, Teng . PLANAR STATIONARY SOLUTION TO OUTFLOW PROBLEM FOR COMPRESSIBLE HEAT CONDUCTING GAS IN \BbbR3+: STABILITY AND CONVERGENCE RATE [J]. | SIAM JOURNAL ON MATHEMATICAL ANALYSIS , 2023 , 55 (1) : 210-274 . |
| MLA | Wang, Teng . "PLANAR STATIONARY SOLUTION TO OUTFLOW PROBLEM FOR COMPRESSIBLE HEAT CONDUCTING GAS IN \BbbR3+: STABILITY AND CONVERGENCE RATE" . | SIAM JOURNAL ON MATHEMATICAL ANALYSIS 55 . 1 (2023) : 210-274 . |
| APA | Wang, Teng . PLANAR STATIONARY SOLUTION TO OUTFLOW PROBLEM FOR COMPRESSIBLE HEAT CONDUCTING GAS IN \BbbR3+: STABILITY AND CONVERGENCE RATE . | SIAM JOURNAL ON MATHEMATICAL ANALYSIS , 2023 , 55 (1) , 210-274 . |
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摘要 ：
In this paper, we are concerned with the long-time behavior of solution to the barotropic compressible Naiver-Stokes system in three dimensions with physically realistic outflow condition. It is shown that the superposition of a planar boundary layer (both subsonic case and transonic case) and a planar rarefaction wave is time asymptotically stable under small initial perturbation, provided that the magnitude of the stationary solution is sufficiently small, while the wave strength of rarefaction wave may be large. This is the first result on the stability of composite wave patterns for the barotropic compressible Navier-Stokes system in high dimensions with outflow boundary condition. Our approach is based on the nonlinear energy methods. (C) 2022 Elsevier Inc. All rights reserved.
关键词 ：
Planar rarefaction wave Planar rarefaction wave Compressible Navier-Stokes system Compressible Navier-Stokes system Planar stationary solution Planar stationary solution Long-time behavior Long-time behavior Outflow boundary condition Outflow boundary condition
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| GB/T 7714 | Wang, Teng . On the long-time behavior of solution for compressible Navier-Stokes system with outflow boundary condition [J]. | JOURNAL OF DIFFERENTIAL EQUATIONS , 2022 , 323 : 312-358 . |
| MLA | Wang, Teng . "On the long-time behavior of solution for compressible Navier-Stokes system with outflow boundary condition" . | JOURNAL OF DIFFERENTIAL EQUATIONS 323 (2022) : 312-358 . |
| APA | Wang, Teng . On the long-time behavior of solution for compressible Navier-Stokes system with outflow boundary condition . | JOURNAL OF DIFFERENTIAL EQUATIONS , 2022 , 323 , 312-358 . |
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摘要 ：
实现水声换能器的测量对水下宽带通信具有重要意义.利用AD5933芯片及其扩展电路实现了水声换能器电阻抗特性的测量,给出了用高压功率信号激励下测量换能器电阻抗特性的方法.以STM32处理器作信号采集与控制,测量数据经USB接口送上位机进行处理与校正,解算出在功率信号的激励下水声换能器的幅频及相频特性曲线并实时显示.结果表明,该系统运行稳定,测量谐振频率和谐振阻抗的误差均在8％以内.该设备可以满足一般中小功率换能器阻抗匹配的精度要求,为水声功放与换能器的匹配设计和调试提供方便.
关键词 ：
水声换能器 水声换能器 功率信号激励 功率信号激励 电阻抗特性 电阻抗特性 AD5933芯片 AD5933芯片 STM32处理器 STM32处理器
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| GB/T 7714 | 王瑛 , 王腾 , 王铁流 et al. 基于AD5933的水声换能器电阻抗特性测量仪 [J]. | 国外电子测量技术 , 2021 , 40 (5) : 141-145 . |
| MLA | 王瑛 et al. "基于AD5933的水声换能器电阻抗特性测量仪" . | 国外电子测量技术 40 . 5 (2021) : 141-145 . |
| APA | 王瑛 , 王腾 , 王铁流 , 于靖一 , 高海龙 , 张银亮 . 基于AD5933的水声换能器电阻抗特性测量仪 . | 国外电子测量技术 , 2021 , 40 (5) , 141-145 . |
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摘要 ：
针对水声功率发射机因换能器宽带匹配出现的幅频特性不均衡问题，采用预失真处理技术，利用STM32F4处理器的DAC直接合成4FSK编码信号，在信源上对不同频率信号的强度进行校正，再配合D类线性功率放大器的增益自适应调整，使不同频率的FSK编码信号满足宽带内各频点幅值均衡的要求，从而实现换能器宽带匹配的进一步优化。
关键词 ：
换能器宽带匹配 换能器宽带匹配 水声功率发射机 水声功率发射机 幅频特性均衡 幅频特性均衡 预失真处理 预失真处理
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| GB/T 7714 | 周启令 , 王瑛 , 王铁流 et al. 基于STM32F4的水声功率发射机的频带预失真补偿方法 [C] //第十四届全国信号和智能信息处理与应用学术会议论文集 . 2021 : 90-94 . |
| MLA | 周启令 et al. "基于STM32F4的水声功率发射机的频带预失真补偿方法" 第十四届全国信号和智能信息处理与应用学术会议论文集 . (2021) : 90-94 . |
| APA | 周启令 , 王瑛 , 王铁流 , 王腾 , 张银亮 . 基于STM32F4的水声功率发射机的频带预失真补偿方法 第十四届全国信号和智能信息处理与应用学术会议论文集 . (2021) : 90-94 . |
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摘要 ：
We are concerned with the large-time asymptotic behaviors towards the planar rarefaction wave to the three-dimensional (3D) compressible and isentropic Navier-Stokes equations in half space with Navier boundary conditions. It is proved that the planar rarefaction wave is time-asymptotically stable for the 3D initial-boundary value problem of the compressible Navier-Stokes equations in R+ x T-2 with arbitrarily large wave strength. Compared with the previous work [17, 16] for the whole space problem, Navier boundary conditions, which state that the impermeable wall condition holds for the normal velocity and the fluid tangential velocity is proportional to the tangential component of the viscous stress tensor on the boundary, are crucially used for the stability analysis of the 3D initial-boundary value problem.
关键词 ：
Compressible Navier-Stokes equations Compressible Navier-Stokes equations sta- bility sta- bility planar rarefaction wave planar rarefaction wave Navier boundary conditions Navier boundary conditions
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| GB/T 7714 | Wang, T. E. N. G. , Wang, Y., I . LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS [J]. | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2021 , 20 (7-8) : 2811-2838 . |
| MLA | Wang, T. E. N. G. et al. "LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS" . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 20 . 7-8 (2021) : 2811-2838 . |
| APA | Wang, T. E. N. G. , Wang, Y., I . LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2021 , 20 (7-8) , 2811-2838 . |
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摘要 ：
针对水声功率发射机因换能器宽带匹配出现的幅频特性不均衡问题,采用预失真处理技术,利用STM32F4处理器的DAC直接合成4FSK编码信号,在信源上对不同频率信号的强度进行校正,再配合D类线性功率放大器的增益自适应调整,使不同频率的FSK编码信号满足宽带内各频点幅值均衡的要求,从而实现换能器宽带匹配的进一步优化。
关键词 ：
幅频特性均衡 幅频特性均衡 换能器宽带匹配 换能器宽带匹配 预失真处理 预失真处理 水声功率发射机 水声功率发射机
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| GB/T 7714 | 周启令 , 王瑛 , 王铁流 et al. 基于STM32F4的水声功率发射机的频带预失真补偿方法 [C] //第十四届全国信号和智能信息处理与应用学术会议论文集 . 2020 . |
| MLA | 周启令 et al. "基于STM32F4的水声功率发射机的频带预失真补偿方法" 第十四届全国信号和智能信息处理与应用学术会议论文集 . (2020) . |
| APA | 周启令 , 王瑛 , 王铁流 , 王腾 , 张银亮 . 基于STM32F4的水声功率发射机的频带预失真补偿方法 第十四届全国信号和智能信息处理与应用学术会议论文集 . (2020) . |
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摘要 ：
本实用新型公开了一种便携式水下三轴观测设备，包括水上、水下两个单元，水上单元由装在防水手提箱内的六个部件构成：微处理器核心模块、带有树莓派微电脑的视频处理显示模块、控制水下图像采集视角的三轴操作杆、调节水下灯参数的旋钮编码器、负责图像数据转换的电力线载波模块以及带有可充电锂电池的电源模块，水下单元由负责图像采集的摄像头、可自由旋转的三轴电控云台、水下电力线载波模块和水下LED照明灯四个部件组成。本实用新型利用水上单元的三轴操作杆来控制水下单元的三轴电控云台，从而使得水下单元无论如何放置，都无需对其进行基准面的规正校准，简化了水下三维空间实时观测的布设作业过程。
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| GB/T 7714 | 王瑛 , 刘瑞杰 , 张银亮 et al. 一种便携式水下三轴观测设备 : CN202020795498.6[P]. | 2020-05-14 . |
| MLA | 王瑛 et al. "一种便携式水下三轴观测设备" : CN202020795498.6. | 2020-05-14 . |
| APA | 王瑛 , 刘瑞杰 , 张银亮 , 于靖一 , 高海龙 , 王腾 et al. 一种便携式水下三轴观测设备 : CN202020795498.6. | 2020-05-14 . |
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摘要 ：
We establish the vanishing viscosity limit of viscous Burgers-Vlasov equations for one dimensional kinetic model about interactions between a viscous fluid and dispersed particles by using compensated compactness technique and the evolution of level sets arguments. The limit we obtained is exactly a finite-energy weak solution to the inviscid equations.
关键词 ：
Burgers equation Burgers equation finite-energy weak solution finite-energy weak solution two phase flow two phase flow vanishing viscosity limit vanishing viscosity limit Vlasov equation Vlasov equation
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| GB/T 7714 | Cao, Wentao , Wang, Teng . VANISHING VISCOSITY LIMIT FOR VISCOUS BURGERS-VLASOV EQUATIONS [J]. | COMMUNICATIONS IN MATHEMATICAL SCIENCES , 2020 , 18 (4) : 1135-1148 . |
| MLA | Cao, Wentao et al. "VANISHING VISCOSITY LIMIT FOR VISCOUS BURGERS-VLASOV EQUATIONS" . | COMMUNICATIONS IN MATHEMATICAL SCIENCES 18 . 4 (2020) : 1135-1148 . |
| APA | Cao, Wentao , Wang, Teng . VANISHING VISCOSITY LIMIT FOR VISCOUS BURGERS-VLASOV EQUATIONS . | COMMUNICATIONS IN MATHEMATICAL SCIENCES , 2020 , 18 (4) , 1135-1148 . |
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摘要 ：
We investigate the time-asymptotic stability of planar rarefaction wave for the 3D bipolar Vlasov Poisson Boltzmann (VPB) system, based on the micro macro decompositions introduced in [T. P. Liu and S. H. Yu, Boltzmann equation: Micro-macro decompositions and positivity of shock profiles, Comm. Math. Phys. 246 (2004) 133-179; Energy method for the Boltzmann equation, Physica D 188 (2004) 178-192] and our new observations on the underlying wave structures of the equation to overcome the difficulties due to the wave propagation along the transverse directions and its interactions with the planar rarefaction wave. Note that this is the first stability result of basic wave patterns for bipolar VPB system in three dimensions.
关键词 ：
Vlasov-Poisson-Boltzmann system Vlasov-Poisson-Boltzmann system planar rarefaction wave planar rarefaction wave stability stability
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| GB/T 7714 | Wang, Shu , Wang, Teng . Stability of planar rarefaction wave to the 3D bipolar Vlasov Poisson Boltzmann system [J]. | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES , 2020 , 30 (1) : 23-104 . |
| MLA | Wang, Shu et al. "Stability of planar rarefaction wave to the 3D bipolar Vlasov Poisson Boltzmann system" . | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 30 . 1 (2020) : 23-104 . |
| APA | Wang, Shu , Wang, Teng . Stability of planar rarefaction wave to the 3D bipolar Vlasov Poisson Boltzmann system . | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES , 2020 , 30 (1) , 23-104 . |
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摘要 ：
In smooth systems, the form of the heteroclinic Melnikov chaotic threshold is similar to that of the homoclinic Melnikov chaotic threshold. However, this conclusion may not be valid in nonsmooth systems with jump discontinuities. In this paper, based on a newly constructed nonsmooth pendulum, a kind of impulsive differential system is introduced, whose unperturbed part possesses a nonsmooth heteroclinic solution with multiple jump discontinuities. Using the recursive method and the perturbation principle, the effects of the nonsmooth factors on the behaviors of the nonsmooth dynamical system are converted to the integral items which can be easily calculated. Furthermore, the extended Melnikov function is employed to obtain the nonsmooth heteroclinic Melnikov chaotic threshold, which implies that the existence of the nonsmooth heteroclinic orbits may be due to the breaking of the nonsmooth heteroclinic loops under the perturbation of damping, external forcing and nonsmooth factors. It is worth pointing out that the form of the nonsmooth heteroclinic Melnikov function is different from the one of the nonsmooth homoclinic Melnikov function, which is quite different from the classical Melnikov theory.
关键词 ：
Melnikov method Melnikov method chaos chaos heteroclinic orbit heteroclinic orbit nonsmooth pendulum nonsmooth pendulum Nonsmooth system Nonsmooth system
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| GB/T 7714 | Tian, R. L. , Wang, T. , Zhou, Y. F. et al. Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities [J]. | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2020 , 30 (10) . |
| MLA | Tian, R. L. et al. "Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities" . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 30 . 10 (2020) . |
| APA | Tian, R. L. , Wang, T. , Zhou, Y. F. , Li, J. , Zhu, S. T. . Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2020 , 30 (10) . |
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