This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under ...This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ｜｜·｜｜H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ｜｜·｜｜H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system.展开更多
This paper is concerned with the quasi-neutral limit of the bipolar NavierStokes-Poisson system. It is rigorously proved, by introducing the new modulated energy functional and using the refined energy analysis, that ...This paper is concerned with the quasi-neutral limit of the bipolar NavierStokes-Poisson system. It is rigorously proved, by introducing the new modulated energy functional and using the refined energy analysis, that the strong solutions of the bipolar Navier-Stokes-Poisson system converge to the strong solution of the compressible NavierStokes equations as the Debye length goes to zero. Moreover, if we let the viscous coefficients and the Debye length go to zero simultaneously, then we obtain the convergence of the strong solutions of bipolar Navier-Stokes-Poisson system to the strong solution of the compressible Euler equations.展开更多
We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the in...We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the initial data close to an equilibrium state.展开更多
目的比较动力髋螺钉(dynamic hip screw,DHS)、解剖型锁定钛板(locking compression plate,LCP)、防旋型股骨近端髓内钉(proximal femoral nail antirotation,PFNA)、人工股骨头置换治疗老年股骨转子间骨折的疗效。方法527例老年股骨转...目的比较动力髋螺钉(dynamic hip screw,DHS)、解剖型锁定钛板(locking compression plate,LCP)、防旋型股骨近端髓内钉(proximal femoral nail antirotation,PFNA)、人工股骨头置换治疗老年股骨转子间骨折的疗效。方法527例老年股骨转子间骨折中DHS治疗182例,LCP治疗201例,PFNA治疗71例,人工股骨头置换73例。结果DHS、LCP、PFNA、人工股骨头置换组手术时间相当,差异无统计学意义(P>0.05);PFNA组术中出血量明显少于DHS、LCP、人工股骨头置换组,差异有统计学意义(P<0.05),但卧床时间DHS、LCP组明显长于PFNA、人工股骨头置换组,差异均有统计学意义(P<0.05);末次随访Harris评分标准评定优良率DHS组明显低于LCP、PFNA、人工股骨头置换组,差异均有统计学意义(P<0.05)。结论 PFNA是治疗老年股骨转子间骨折理想的内固定方式,人工股骨头置换适用于75岁以上高龄不稳定型转子间骨折并且合并重度骨质疏松的患者。展开更多
基金supported by the Collaborative Innovation Center on Beijing Society-building and Social GovernanceNSFC(11371042)+2 种基金BNSF(1132006)the key fund of the Beijing education committee of ChinaChina Postdoctoral Science Foundation funded project
文摘This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ｜｜·｜｜H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ｜｜·｜｜H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system.
基金supported by the Science Fund for Young Scholars of Nanjing University of Aeronautics and Astronautics
文摘This paper is concerned with the quasi-neutral limit of the bipolar NavierStokes-Poisson system. It is rigorously proved, by introducing the new modulated energy functional and using the refined energy analysis, that the strong solutions of the bipolar Navier-Stokes-Poisson system converge to the strong solution of the compressible NavierStokes equations as the Debye length goes to zero. Moreover, if we let the viscous coefficients and the Debye length go to zero simultaneously, then we obtain the convergence of the strong solutions of bipolar Navier-Stokes-Poisson system to the strong solution of the compressible Euler equations.
基金supported by National Natural Science Foundation of China (Grant No. 10871134)partially supported by National Natural Science Foundation of China (Grant Nos. 10871134, 10910401059)+1 种基金the NCET support of the Ministry of Education of China, the Huo Ying Dong Fund (Grant No. 111033)the funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (Grant No. PHR201006107)
文摘We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the initial data close to an equilibrium state.
文摘目的比较动力髋螺钉(dynamic hip screw,DHS)、解剖型锁定钛板(locking compression plate,LCP)、防旋型股骨近端髓内钉(proximal femoral nail antirotation,PFNA)、人工股骨头置换治疗老年股骨转子间骨折的疗效。方法527例老年股骨转子间骨折中DHS治疗182例,LCP治疗201例,PFNA治疗71例,人工股骨头置换73例。结果DHS、LCP、PFNA、人工股骨头置换组手术时间相当,差异无统计学意义(P>0.05);PFNA组术中出血量明显少于DHS、LCP、人工股骨头置换组,差异有统计学意义(P<0.05),但卧床时间DHS、LCP组明显长于PFNA、人工股骨头置换组,差异均有统计学意义(P<0.05);末次随访Harris评分标准评定优良率DHS组明显低于LCP、PFNA、人工股骨头置换组,差异均有统计学意义(P<0.05)。结论 PFNA是治疗老年股骨转子间骨折理想的内固定方式,人工股骨头置换适用于75岁以上高龄不稳定型转子间骨折并且合并重度骨质疏松的患者。
