Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system

Yue Hong Feng; Shu Wang; Shuichi Kawashima

doi:10.1142/S0218202514500390

Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system

Yue Hong Feng^*, Shu Wang, Shuichi Kawashima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

The non-isentropic compressible Euler-Maxwell system is investigated in R³ in this paper, and the Lq time decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same rate (1 + t)-11/4 in Lq norm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell equations.

Original language	English
Pages (from-to)	2851-2884
Number of pages	34
Journal	Mathematical Models and Methods in Applied Sciences
Volume	24
Issue number	14
DOIs	https://doi.org/10.1142/S0218202514500390
Publication status	Published - 2014 Dec 30
Externally published	Yes

Keywords

Asymptotic behavior
Globally smooth solution
Non-isentropic Euler-Maxwell equations

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

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10.1142/S0218202514500390

Cite this

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title = "Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system",

abstract = "The non-isentropic compressible Euler-Maxwell system is investigated in R3 in this paper, and the Lq time decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same rate (1 + t)-11/4 in Lq norm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell equations.",

keywords = "Asymptotic behavior, Globally smooth solution, Non-isentropic Euler-Maxwell equations",

author = "Feng, {Yue Hong} and Shu Wang and Shuichi Kawashima",

note = "Funding Information: The authors are grateful to the referee for the comments. This work is supported by the National Basic Research Program of China (973 Program, 2011CB808002), NSFC (No. 11371042), BNSF (No. 1132006), the fund of the Beijing Education Committee of China, the State Scholarship Fund (No. 201206540015) of CSC and the Foundation Project of Doctor Graduate Student Innovation of Beijing University of Technology of China. Publisher Copyright: {\textcopyright} World Scientific Publishing Company.",

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doi = "10.1142/S0218202514500390",

language = "English",

volume = "24",

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journal = "Mathematical Models and Methods in Applied Sciences",

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T1 - Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system

AU - Feng, Yue Hong

AU - Wang, Shu

AU - Kawashima, Shuichi

N1 - Funding Information: The authors are grateful to the referee for the comments. This work is supported by the National Basic Research Program of China (973 Program, 2011CB808002), NSFC (No. 11371042), BNSF (No. 1132006), the fund of the Beijing Education Committee of China, the State Scholarship Fund (No. 201206540015) of CSC and the Foundation Project of Doctor Graduate Student Innovation of Beijing University of Technology of China. Publisher Copyright: © World Scientific Publishing Company.

PY - 2014/12/30

Y1 - 2014/12/30

N2 - The non-isentropic compressible Euler-Maxwell system is investigated in R3 in this paper, and the Lq time decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same rate (1 + t)-11/4 in Lq norm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell equations.

AB - The non-isentropic compressible Euler-Maxwell system is investigated in R3 in this paper, and the Lq time decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same rate (1 + t)-11/4 in Lq norm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell equations.

KW - Asymptotic behavior

KW - Globally smooth solution

KW - Non-isentropic Euler-Maxwell equations

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JO - Mathematical Models and Methods in Applied Sciences

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IS - 14

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Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system

Abstract

Keywords

ASJC Scopus subject areas

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