On existence and uniqueness of the global weak solution for a shallow water equation
Access Status
Fulltext not available
Authors
Guo, Y.
Lai, S.
Wu, Yong Hong
Date
2012Type
Journal Article
Metadata
Show full item recordCitation
Guo, Yunxi and Lai, Shaoyong and Wu, Yonghong. 2012. On existence and uniqueness of the global weak solution for a shallow water equation. Applied Mathematics and Computations. 218 (23): pp. 11410-11420.
Source Title
Applied Mathematics and Computations
ISSN
Collection
Abstract
A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established.
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 ...