Geodesic
Global well-posedness of damped multidimensional generalized Boussinesq equations
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     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
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a96/
LA  - en
ID  - EJDE_2015__2015__a96
ER  - 
%0 Journal Article
%A Niu, Yi
%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
%I mathdoc
%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/