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The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Consider a diffusion convection equation coming from the electrorheological fluids.
If the diffusion coefficient of the equation is degenerate on the boundary, generally, we can only impose a partial boundary value condition to ensure the well-posedness of the solutions.
Since the equation is nonlinear, the partial boundary value condition cannot be depicted by Fichera function.
In this paper, when α The stability of the solutions, dependent on this partial boundary value condition, is obtained. While α>p+-1, the stability of the solutions is obtained without the boundary value condition. At the same time, only if α>0 and p->1 can the uniqueness of the solutions be proved without any boundary value condition.
American Psychological Association (APA)
Zhan, Huashui& Zhou, Zhen. 2018. The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1152240
Modern Language Association (MLA)
Zhan, Huashui& Zhou, Zhen. The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1152240
American Medical Association (AMA)
Zhan, Huashui& Zhou, Zhen. The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1152240
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152240