scholarly journals Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yu-Zhu Wang ◽  
Qingnian Zhang
Keyword(s):  
Asymptotic Behavior ◽  
Boussinesq Equation ◽  
Global Solutions

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.

scholarly journals Asymptotic behavior of the Newton–Boussinesq equation in a two-dimensional channel

2009 ◽  
Vol 70 (5) ◽  
pp. 2000-2013 ◽  
Author(s):  
Guglielmo Fucci ◽  
Bixiang Wang ◽  
Preeti Singh
Keyword(s):  
Asymptotic Behavior ◽  
Boussinesq Equation ◽  
Two Dimensional

scholarly journals Global solutions of semilinear heat equations in Hilbert spaces

1996 ◽  
Vol 1 (3) ◽  
pp. 263-276 ◽  
Author(s):  
G. Mihai Iancu ◽  
M. W. Wong
Keyword(s):  
Asymptotic Behavior ◽  
Hilbert Spaces ◽  
Differential Operators ◽  
Global Solutions ◽  
Linear Operators ◽  
Heat Equations ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Strongly Continuous Semigroups ◽  
Pseudo Differential Operators

The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one-parameter strongly continuous semigroups of bounded linear operators. Applications to special semilinear heat equations inL 2(ℝn)governed by pseudo-differential operators are given.

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