Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation

2008 ◽  
Vol 237 (6) ◽  
pp. 721-731 ◽  
Author(s):  
Yacheng Liu ◽  
Runzhang Xu
Keyword(s):  
Cauchy Problem ◽  
Global Existence ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Generalized Boussinesq Equation

scholarly journals Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Jianghao Hao ◽  
Aiyuan Gao
Keyword(s):  
Cauchy Problem ◽  
Fourier Transform ◽  
Finite Time ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Initial Energy ◽  
Sixth Order ◽  
The Cauchy Problem ◽  
Generalized Boussinesq Equation

AbstractIn this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy.

Global existence and blow up for damped generalized Boussinesq equation

2017 ◽  
Vol 33 (1) ◽  
pp. 251-262 ◽  
Author(s):  
Run-zhang Xu ◽  
Yong-bing Luo ◽  
Ji-hong Shen ◽  
Shao-bin Huang
Keyword(s):  
Global Existence ◽  
Boussinesq Equation ◽  
Blow Up ◽  
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

Global existence and blow-up for the generalized sixth-order Boussinesq equation

2012 ◽  
Vol 75 (11) ◽  
pp. 4325-4338 ◽  
Author(s):  
Amin Esfahani ◽  
Luiz Gustavo Farah ◽  
Hongwei Wang
Keyword(s):  
Global Existence ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Sixth Order
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