Large data asymptotic behaviour for the generalized Boussinesq equation

Nonlinearity ◽  
2008 ◽  
Vol 21 (2) ◽  
pp. 191-209 ◽  
Author(s):  
Luiz Gustavo Farah
Keyword(s):  
Asymptotic Behaviour ◽  
Boussinesq Equation ◽  
Large Data ◽  
Generalized Boussinesq Equation

Blow up of Solution for the Generalized Boussinesq Equation with Damping Term

2006 ◽  
Vol 61 (5-6) ◽  
pp. 235-238
Author(s):  
Necat Polat ◽  
Doğan Kaya
Keyword(s):  
Boundary Value Problem ◽  
Finite Time ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Initial Energy ◽  
Damping Term ◽  
Initial Boundary Value ◽  
Generalized Boussinesq Equation

We consider the blow up of solution to the initial boundary value problem for the generalized Boussinesq equation with damping term. Under some assumptions we prove that the solution with negative initial energy blows up in finite time

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