On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0,T]×R2: ∂xxu+u∂yu−∂tu=f(⋅,u), provided that T is suitable small.
Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in finite time.
American Psychological Association (APA)
Liang, Zongqi& Zhan, Huashui. 2009. On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-501285
Modern Language Association (MLA)
Liang, Zongqi& Zhan, Huashui. On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-501285
American Medical Association (AMA)
Liang, Zongqi& Zhan, Huashui. On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-501285
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501285
