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^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	5202-5234
Number of pages	33
Journal	Journal of Differential Equations
Volume	261
Issue number	9
DOIs	https://doi.org/10.1016/j.jde.2016.07.024
Publication status	Published - 5 Nov 2016

Keywords

Decay estimate
Global solution
Magnetic effect

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10.1016/j.jde.2016.07.024

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

abstract = "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.",

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",

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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

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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

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Keywords

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