Geodesic
Global well-posedness of damped multidimensional generalized Boussinesq equations
Electronic journal of differential equations, Tome 2015 (2015)
We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source term and damping term. By using Galerkin approximations and potential well methods, we prove the existence of a global weak solution. Furthermore, we study the conditions for the damped coefficient to obtain the finite time blow up of the solution.
Classification : 35A01, 35B44, 35L75
Keywords: Cauchy problem, global solution, finite time blow up, damping term 
@article{EJDE_2015__2015__a96,
     author = {Niu,  Yi and Peng,  Xiuyan and Zhang,  Mingyou},
     title = {Global well-posedness of damped multidimensional generalized {Boussinesq} equations},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1326.35208},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a96/}
}
TY  - JOUR
AU  - Niu,  Yi
AU  - Peng,  Xiuyan
AU  - Zhang,  Mingyou
TI  - Global well-posedness of damped multidimensional generalized Boussinesq equations
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a96/
LA  - en
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%A Peng,  Xiuyan
%A Zhang,  Mingyou
%T Global well-posedness of damped multidimensional generalized Boussinesq equations
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a96/
%G en
%F EJDE_2015__2015__a96
Niu,  Yi; Peng,  Xiuyan; Zhang,  Mingyou. Global well-posedness of damped multidimensional generalized Boussinesq equations. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a96/