Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources

Yinghua Li; Yang Cao; Jingxue Yin; Yifu Wang

doi:10.14232/ejqtde.2011.1.10

Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources

Yinghua Li, Yang Cao^*, Jingxue Yin, Yifu Wang

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient k tends to zero.

源语言	英语
页（从-至）	1-19
页数	19
期刊	Electronic Journal of Qualitative Theory of Differential Equations
DOI	https://doi.org/10.14232/ejqtde.2011.1.10
出版状态	已出版 - 2011

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10.14232/ejqtde.2011.1.10

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Li, Y., Cao, Y., Yin, J., & Wang, Y. (2011). Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources. Electronic Journal of Qualitative Theory of Differential Equations, 1-19. https://doi.org/10.14232/ejqtde.2011.1.10

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title = "Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources",

abstract = "In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient k tends to zero.",

keywords = "Asymptotic behavior, Existence, Periodicity, Viscous diffusion equation",

author = "Yinghua Li and Yang Cao and Jingxue Yin and Yifu Wang",

year = "2011",

doi = "10.14232/ejqtde.2011.1.10",

language = "English",

pages = "1--19",

journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

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T1 - Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources

AU - Li, Yinghua

AU - Cao, Yang

AU - Yin, Jingxue

AU - Wang, Yifu

PY - 2011

Y1 - 2011

N2 - In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient k tends to zero.

AB - In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient k tends to zero.

KW - Asymptotic behavior

KW - Existence

KW - Periodicity

KW - Viscous diffusion equation

UR - http://www.scopus.com/inward/record.url?scp=85085399230&partnerID=8YFLogxK

U2 - 10.14232/ejqtde.2011.1.10

DO - 10.14232/ejqtde.2011.1.10

M3 - Article

AN - SCOPUS:85085399230

SN - 1417-3875

SP - 1

EP - 19

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

ER -

Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources

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