Decay Estimate for the Time-Delayed Fourth-Order Wave Equations

2021 ◽  
pp. 142-150
Author(s):  
Müge MEYVACI
Keyword(s):  
Fourth Order ◽  
Wave Equations ◽  
Decay Estimate

An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations

2019 ◽  
Vol 351 ◽  
pp. 124-138
Author(s):  
Jingjun Zhao ◽  
Yu Li ◽  
Yang Xu
Keyword(s):  
Nonlinear Wave ◽  
Fourth Order ◽  
Wave Equations ◽  
Riesz Space ◽  
Nonlinear Wave Equations ◽  
Order Energy

Superconvergence of a two‐grid method for fourth‐order dispersive‐dissipative wave equations

2019 ◽  
Vol 42 (14) ◽  
pp. 4889-4897
Author(s):  
Dongyang Shi ◽  
Ran Wang
Keyword(s):  
Fourth Order ◽  
Wave Equations ◽  
Grid Method

scholarly journals A temporal fourth-order scheme for the first-order acoustic wave equations

2013 ◽  
Vol 194 (3) ◽  
pp. 1473-1485 ◽  
Author(s):  
Guihua Long ◽  
Yubo Zhao ◽  
Jun Zou
Keyword(s):  
Acoustic Wave ◽  
Fourth Order ◽  
Wave Equations ◽  
First Order ◽  
Order Scheme

scholarly journals Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Yaojun Ye
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equations ◽  
Decay Estimate ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Asymptotic Behavior Of Solutions ◽  
Potential Well ◽  
Initial Boundary Value ◽  
Nonlinear Degenerate

This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.

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