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学者姓名：王腾
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Abstract ：
In this paper, we investigate the wave phenomena associated with a fluid-particle model described by the multi-dimensional compressible Euler or Navier-Stokes equations coupled with the Vlasov-Fokker-Planck equation (denoted by Euler-VFP or NS-VFP in abbreviation) through the relaxation drag force on the fluid momentum equation and the Vlasov force on the particle transport. First, we prove the globally nonlinear time-asymptotical stability of the planar rarefaction wave to 3D Euler-VFP system, which as we know is the first result about the nonlinear stability of basic hyperbolic waves for the multi-dimensional compressible Euler equations with low order dissipative effects (i.e., relaxation friction damping). This new (hyperbolic) wave phenomena comes essentially from the fluid-particle interactions through the relaxation friction damping, which is different from the interesting diffusive phenomena for either the compressible Euler equations with damping (Hsiao and Liu in Commun Math Phys 143:599-605, 1992) or the pure Fokker-Planck equation (Lin et al. in Q Appl Math 77(4):727-766, 2019). To prove the nonlinear stability of a planar rarefaction wave, we introduce a new micro-macro decomposition around the local Maxwellian to the Vlasov-Fokker-Planck equation (kinetic part of the 3D Euler-VFP system), which presents an unified framework to investigate the time-asymptotic stability of basic wave patterns to multi-D Euler-VFP or NS-VFP system. In particular, a new viscous compressible fluid-dynamical model is first derived from the Chapman-Enskog expansion for the Vlasov-Fokker-Planck equation, equipped with the isothermal pressure and the density-dependent viscosity coefficient, which takes the same form of the well-known viscous Saint-Venant model for shallow water. Moreover, the nonlinear stability of planar rarefaction wave is also shown for 3D NS-VFP system in terms of the unified framework, and it is further proved that as the shear and bulk viscosities tend to zero, the global solution to 3D compressible NS-VFP system around the planar rarefaction wave converges to that of 3D Euler-VFP system at the uniform rate with respect to the viscosity coefficients.
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| GB/T 7714 | Li, Hai-Liang , Wang, Teng , Wang, Yi . Wave Phenomena to the Three-Dimensional Fluid-Particle Model [J]. | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS , 2022 , 243 (2) : 1019-1089 . |
| MLA | Li, Hai-Liang 等. "Wave Phenomena to the Three-Dimensional Fluid-Particle Model" . | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 243 . 2 (2022) : 1019-1089 . |
| APA | Li, Hai-Liang , Wang, Teng , Wang, Yi . Wave Phenomena to the Three-Dimensional Fluid-Particle Model . | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS , 2022 , 243 (2) , 1019-1089 . |
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Abstract ：
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.
Keyword ：
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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Abstract ：
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。
Keyword ：
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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Abstract ：
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.
Keyword ：
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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Abstract ：
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.
Keyword ：
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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Abstract ：
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.
Keyword ：
finite-energy weak solution finite-energy weak solution vanishing viscosity limit vanishing viscosity limit Vlasov equation Vlasov equation two phase flow two phase flow Burgers equation Burgers 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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Abstract ：
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。
Keyword ：
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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Abstract ：
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.
Keyword ：
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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Abstract ：
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.
Keyword ：
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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Abstract ：
We investigate the time-asymptotic stability of planar rarefaction wave for the three-dimensional Boltzmann equation, based on the micro-macro decomposition introduced in [24, 22] 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 planar rarefaction wave for 3D Boltzmann equation, while the corresponding results for the shock and contact discontinuities are still completely open.
Keyword ：
Boltzmann equation Boltzmann equation time-asymptotic stability time-asymptotic stability planar rarefaction wave planar rarefaction wave
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| GB/T 7714 | Wang, Teng , Wang, Yi . NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION [J]. | KINETIC AND RELATED MODELS , 2019 , 12 (3) : 637-679 . |
| MLA | Wang, Teng et al. "NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION" . | KINETIC AND RELATED MODELS 12 . 3 (2019) : 637-679 . |
| APA | Wang, Teng , Wang, Yi . NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION . | KINETIC AND RELATED MODELS , 2019 , 12 (3) , 637-679 . |
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