Title :
Energy decay for nonlinear Kirchhoff-like type wave equation with nonlinear velocity feedback
Author :
Zhang, Zhifei ; Yang, Fen
Abstract :
The paper investigates the global existence and energy decay of solutions to the Kirchhoff-like type wave equation. The aim is to show the global existence of the solutions and estimate the decay rate. It is well known that solutions of the equations develop singularities after some finite time even for small, smooth initial data.
Keywords :
feedback; nonlinear equations; wave equations; Kirchhoff-like type wave equation; energy decay estimation; global existence; nonlinear velocity feedback; nonlinear wave equation; Educational institutions; Feedback; Mathematics; Partial differential equations; Statistics; decay properties; nonlinear Kirchhoff-like wave equation; nonlinear velocity feedback;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498744
