Title :
Initial boundary problem of nonlinear dispersion equation
Author :
Lu, Bo ; Yuan, Guanxiu
Author_Institution :
Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang, China
Abstract :
Initial boundary value problems and a class of forth order nonlinear wave equations of longitudinal vibration of the 1-D elastic rod with dispersion effect are studied. Firstly, by using of Galerkin method, Sobolev space and compacts principle, the existence and uniqueness of global general solutions are solved. On the basis the existence and uniqueness of global classic solutions are dealt with. The theorem foundations can be supplied to other solving on similar equations.
Keywords :
Galerkin method; elasticity; initial value problems; nonlinear equations; rods (structures); vibrations; wave equations; 1-D elastic rod; Galerkin method; Sobolev space; compact principle; forth order nonlinear wave equations; initial boundary value problem; longitudinal vibration; nonlinear dispersion equation; Boundary value problems; Dispersion; Eigenvalues and eigenfunctions; Equations; Moment methods; Propagation; Galerkin method; dispersion equations; existence; global solutions; initial-boundary problem;
Conference_Titel :
Electronics, Communications and Control (ICECC), 2011 International Conference on
Conference_Location :
Ningbo
Print_ISBN :
978-1-4577-0320-1
DOI :
10.1109/ICECC.2011.6066600
