LONG TIME BEHAVIOR OF A TWO FLUID MODEL

Tej Eddine Ghoul; Slim Ibrahim; Shengyi Shen

LONG TIME BEHAVIOR OF A TWO FLUID MODEL

Tej Eddine Ghoul, Slim Ibrahim, Shengyi Shen

Mathematics

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

Abstract

We consider a two fluid model which describes the motion of two charged particles in a strict neutral incompressible plasma. In this paper we mainly study the stability of the solution around zero given that the initial data is small and has sufficient regularity. In this paper we show that our system is a system of regularity-loss and the L² norm of lower derivatives of the solution decays with a rate.

Original language	English (US)
Pages (from-to)	171-196
Number of pages	26
Journal	Advances in Mathematical Sciences and Applications
Volume	28
Issue number	1
State	Published - 2019

Keywords

fluid
plasma
regularity-loss
stability
time decay

ASJC Scopus subject areas

Analysis
Applied Mathematics
Modeling and Simulation
Numerical Analysis

Cite this

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title = "LONG TIME BEHAVIOR OF A TWO FLUID MODEL",

abstract = "We consider a two fluid model which describes the motion of two charged particles in a strict neutral incompressible plasma. In this paper we mainly study the stability of the solution around zero given that the initial data is small and has sufficient regularity. In this paper we show that our system is a system of regularity-loss and the L2 norm of lower derivatives of the solution decays with a rate.",

keywords = "fluid, plasma, regularity-loss, stability, time decay",

author = "Ghoul, {Tej Eddine} and Slim Ibrahim and Shengyi Shen",

note = "Funding Information: ∗Saadiyat Island, P.O. Box 129188, Abu Dhabi, United Arab Emirates †3800 Finnerty Road (Ring Road) Victoria, B.C. Canada V8P 5C2, Canada Communicated by Yoshikazu Giga; Received April 15, 2019 This work is supported by NSERC grant No.371637-2014.R AMS Subject Classification: MSC[2010], 35-02, 35M10, 35Q61, 35Q30 Keywords: fluid, stability, regularity-loss, plasma, time decay. Publisher Copyright: {\textcopyright} 2019, Gakko Tosho Co. Ltd.. All rights reserved.",

year = "2019",

language = "English (US)",

volume = "28",

pages = "171--196",

journal = "Advances in Mathematical Sciences and Applications",

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T1 - LONG TIME BEHAVIOR OF A TWO FLUID MODEL

AU - Ghoul, Tej Eddine

AU - Ibrahim, Slim

AU - Shen, Shengyi

N1 - Funding Information: ∗Saadiyat Island, P.O. Box 129188, Abu Dhabi, United Arab Emirates †3800 Finnerty Road (Ring Road) Victoria, B.C. Canada V8P 5C2, Canada Communicated by Yoshikazu Giga; Received April 15, 2019 This work is supported by NSERC grant No.371637-2014.R AMS Subject Classification: MSC[2010], 35-02, 35M10, 35Q61, 35Q30 Keywords: fluid, stability, regularity-loss, plasma, time decay. Publisher Copyright: © 2019, Gakko Tosho Co. Ltd.. All rights reserved.

PY - 2019

Y1 - 2019

N2 - We consider a two fluid model which describes the motion of two charged particles in a strict neutral incompressible plasma. In this paper we mainly study the stability of the solution around zero given that the initial data is small and has sufficient regularity. In this paper we show that our system is a system of regularity-loss and the L2 norm of lower derivatives of the solution decays with a rate.

AB - We consider a two fluid model which describes the motion of two charged particles in a strict neutral incompressible plasma. In this paper we mainly study the stability of the solution around zero given that the initial data is small and has sufficient regularity. In this paper we show that our system is a system of regularity-loss and the L2 norm of lower derivatives of the solution decays with a rate.

KW - fluid

KW - plasma

KW - regularity-loss

KW - stability

KW - time decay

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M3 - Article

AN - SCOPUS:85149718720

SN - 1343-4373

VL - 28

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JO - Advances in Mathematical Sciences and Applications

JF - Advances in Mathematical Sciences and Applications

IS - 1

ER -

LONG TIME BEHAVIOR OF A TWO FLUID MODEL

Abstract

Keywords

ASJC Scopus subject areas

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