The existence of weak solutions for a generalized Camassa-Holm equation
Access Status
Fulltext not available
Authors
Lai, S.
Xie, Q.
Guo, Y.
Wu, Yong Hong
Date
2011Type
Journal Article
Metadata
Show full item recordAbstract
A Camassa-Holm type equation containing nonlinear dissipative effect is investigated. A sufficient condition which guarantees the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 <= s <= 3/2 is established by using the techniques of the pseudoparabolic regularization and some prior estimates derived from the equation itself.
Citation
Lai, Shaoyong and Xie, Qichang and Guo, Yunxi and Wu, Yong Hong. 2011. The existence of weak solutions for a generalized Camassa-Holm equation. Communications on Pure and Applied Analysis. 10 (1): pp. 45-57.
Source Title
Communications on Pure and Applied Analysis
Department
Department of Mathematics and Statistics
Collections
Related items
Showing items related by title, author, creator and subject.
-
Zomer, E.; Owen, A.; Magliano, D.; Liew, D.; Reid, Christopher (2011)Background: Multivariable risk prediction equations attempt to quantify an individual's cardiovascular risk. Those borne from the Framingham Heart Study remain the most well-established and widely used. In February 2008, ...
-
Chowdhury, E.; Langham, R.; Owen, A.; Krum, H.; Wing, L.; Nelson, M.; Reid, Christopher; Second Australian National Blood Pressure Study Management Committeem (2015)BACKGROUND: The Modifications of Diet in Renal Disease (MDRD) and Chronic Kidney Disease Epidemiology Collaboration (CKD-EPI) are 2 equations commonly used to estimate glomerular filtration rate (eGFR). The predictive ...
-
Aruchunan, Elayaraja; Sulaiman, J. (2010)This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and others. Many physical phenomena ...