| COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3 |
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| 引用本文： | 肖玲,李海梁,杨彤,邹晨. COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3[J]. 数学物理学报(B辑英文版), 2011, 31(6): 2169-2194. DOI: 10.1016/S0252-9602(11)60392-5 |
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| 作者姓名： | 肖玲 李海梁 杨彤 邹晨 |
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| 作者单位： | Institute of Mathematics,Academy of Mathematics and Systems Science Chinese Academy of Sciences;Department of Mathematics,Capital Normal University;Department of Mathematics,City University of Hong Kong;Department of Mechanics and Aerospace Engineering,Peking University |
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| 基金项目： | supported by the NSFC (10871134);supported by the NSFC (10871134,10910401059);the funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR201006107);supported by the General Research Fund of Hong Kong,City Univ.103108 |
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| 摘 要： | The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R 3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in H l (R 3 ) ∩ Bs 1,1 (R 3 ) for l ≥ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t) 3 4 , but the momentum for each particle decays at the optimal rate (1 + t) 1 4 s 2 which is slower than the rate (1 + t) 3 4 s 2 for the compressible Navier-Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1+t) 3 4 as well, due to the interplay interaction of charge particles which counteracts the influence of electric field.
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| 关 键 词： | Stokes方程 可压缩 双极 等熵 系统 Poisson方程 粒子相互作用 平衡状态 |
| 收稿时间： | 2011-07-26 |
COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER–STOKES–POISSON SYSTEM IN R~3 |
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| Hsiao Ling,Hailiang Li,Tong Yang,Chen Zou. COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER–STOKES–POISSON SYSTEM IN R~3[J]. Acta Mathematica Scientia, 2011, 31(6): 2169-2194. DOI: 10.1016/S0252-9602(11)60392-5 |
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| Authors: | Hsiao Ling Hailiang Li Tong Yang Chen Zou |
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| Affiliation: | aInstitute of Mathematics, Academy of Mathematics and Systems Science Chinese Academy of Sciences, Beijing 100190, China;bDepartment of Mathematics, Capital Normal University, Beijing 100048, China;cDepartment of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China;dDepartment of Mechanics and Aerospace Engineering, Peking University, Beijing 100871, China |
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| Abstract: | The compressible non-isentropic bipolar Navier–Stokes–Poisson (BNSP) system is investigated in R 3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in H l (R 3 ) ∩ Bs 1,1 (R 3 ) for l ≥ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t) 3 4 , but the momentum for each particle decays at the optimal rate (1 + t) 1 4 s 2 which is slower than the rate (1 + t) 3 4 s 2 for the compressible Navier–Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1+t) 3 4 as well, due to the interplay interaction of charge particles which counteracts the influence of electric field. |
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| Keywords: | Non-isentropic bipolar Navier&ndash Stokes&ndash Poisson system optimal time decay rate |
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