Title :
Decay Estimates of Global Solutions for Some Model Equation Long Wave in Nonlinear Dispersion
Author_Institution :
Dept. of Math. & Inf. Sci., Zhejiang Univ. of Sci. & Technol., Hangzhou, China
Abstract :
The initial-boundary value problem for a class of inhomogeneous BBM equations with nonlinear term |u|¿-2u is studied. For some range of parameter ¿ value, The decay estimates of the global solutions for this problem are proved by means of Sobolev inequality.
Keywords :
boundary-value problems; dispersion (wave); Benjamin-Bona-Mahony equation; Sobolev inequality; decay estimates; global solutions; inhomogeneous BBM equations; initial-boundary value problem; long wave limitation; model equation; nonlinear dispersion; Boundary conditions; Differential equations; Dispersion; Information science; Mathematical model; Mathematics; Multidimensional systems; Nonlinear equations; Sufficient conditions;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.452
