The aim of this paper is to investigate smooth solutions to Cauchy (or periodic) problem for a nonisentropic Euler-Maxwell system with small parameters. For initial data close to constant equilibrium states, we prove the global-in-time convergence of the Euler-Maxwell system as parameters go to zero. The limit systems are the drift-diffusion system and the nonisentropic Euler-Poisson system, respectively.
机构:
Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
Liu, Cunming
Guo, Zuji
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Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
Guo, Zuji
Peng, Yue-Jun
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Univ Clermont Auvergne, CNRS, Lab Math Blaise Pascal, F-63000 Clermont Ferrand, FranceQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
Xiamen Univ, Fujian Prov Key Lab Math Modeling & Sci Comp, Xiamen 361005, Fujian, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
Tan, Zhong
Wang, Yong
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Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
Wang, Yong
Tong, Leilei
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Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
Xiamen Univ, Fujian Prov Key Lab Math Modeling & Sci Comp, Xiamen 361005, Fujian, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
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Brown Univ, Div Appl Math, Providence, RI 02912 USABrown Univ, Div Appl Math, Providence, RI 02912 USA
Guo, Yan
Ionescu, Alexandru D.
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Princeton Univ, Dept Math, Princeton, NJ 08544 USABrown Univ, Div Appl Math, Providence, RI 02912 USA
Ionescu, Alexandru D.
Pausader, Benoit
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Univ Paris 13, Sorbonne Paris Cite, LAGA, CNRS,UMR 7539, F-93430 Villetaneuse, France
Brown Univ, Providence, RI 02912 USABrown Univ, Div Appl Math, Providence, RI 02912 USA
机构:
Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China
Liu, Qingqing
Yin, Haiyan
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Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China
Yin, Haiyan
Zhu, Changjiang
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S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China