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

^*Corresponding author for this work

School of Mathematics and Statistics

South China Normal University
Dalian University of Technology

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

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Electronic Journal of Qualitative Theory of Differential Equations
DOIs	https://doi.org/10.14232/ejqtde.2011.1.10
Publication status	Published - 2011

Keywords

Asymptotic behavior
Existence
Periodicity
Viscous diffusion equation

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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",

publisher = "University of Szeged",

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TY - JOUR

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 - https://www.scopus.com/pages/publications/85085399230

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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Keywords

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