Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma

Dongfen Bian; Boling Guo; Jingjun Zhang

doi:10.1016/j.jde.2016.07.024

Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma

Dongfen Bian
, Boling Guo
, Jingjun Zhang^*

^*此作品的通讯作者

数学学院

IAPCM
Jiaxing University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We consider a type of dispersive–dissipative system that arises in the infinite ion acoustic speed limit of the magnetic Zakharov system in a hot plasma. It is shown that this system admits a unique global smooth solution for suitably small initial data. Decay estimates for the solution are also obtained. In particular, the L² and L^∞ decay rates for the magnetic field are sharp.

源语言	英语
页（从-至）	5202-5234
页数	33
期刊	Journal of Differential Equations
卷	261
期	9
DOI	https://doi.org/10.1016/j.jde.2016.07.024
出版状态	已出版 - 5 11月 2016

访问文件

10.1016/j.jde.2016.07.024

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{bfb2ff789a614928930d7296c5c74d83,

title = "Global existence of smooth solutions for the magnetic Schr{\"o}dinger equation arising from hot plasma",

abstract = "We consider a type of dispersive{\textendash}dissipative system that arises in the infinite ion acoustic speed limit of the magnetic Zakharov system in a hot plasma. It is shown that this system admits a unique global smooth solution for suitably small initial data. Decay estimates for the solution are also obtained. In particular, the L2 and L∞ decay rates for the magnetic field are sharp.",

keywords = "Decay estimate, Global solution, Magnetic effect",

author = "Dongfen Bian and Boling Guo and Jingjun Zhang",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = nov,

day = "5",

doi = "10.1016/j.jde.2016.07.024",

language = "English",

volume = "261",

pages = "5202--5234",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "9",

}

TY - JOUR

T1 - Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma

AU - Bian, Dongfen

AU - Guo, Boling

AU - Zhang, Jingjun

PY - 2016/11/5

Y1 - 2016/11/5

N2 - We consider a type of dispersive–dissipative system that arises in the infinite ion acoustic speed limit of the magnetic Zakharov system in a hot plasma. It is shown that this system admits a unique global smooth solution for suitably small initial data. Decay estimates for the solution are also obtained. In particular, the L2 and L∞ decay rates for the magnetic field are sharp.

AB - We consider a type of dispersive–dissipative system that arises in the infinite ion acoustic speed limit of the magnetic Zakharov system in a hot plasma. It is shown that this system admits a unique global smooth solution for suitably small initial data. Decay estimates for the solution are also obtained. In particular, the L2 and L∞ decay rates for the magnetic field are sharp.

KW - Decay estimate

KW - Global solution

KW - Magnetic effect

UR - https://www.scopus.com/pages/publications/84992107685

U2 - 10.1016/j.jde.2016.07.024

DO - 10.1016/j.jde.2016.07.024

M3 - Article

AN - SCOPUS:84992107685

SN - 0022-0396

VL - 261

SP - 5202

EP - 5234

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 9

ER -

Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma

摘要

访问文件

其它文件与链接

学术指纹

引用此