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
This paper analytically and numerically presents global dynamics of the generalized Boussinesq equat...
In this thesis, we establish global well-posedness of the following Cauchy problem for a higher-orde...
In this paper, we consider the well-posedness and asymptotic behavior of Dirichlet initial boundary ...
AbstractWe consider the existence, both locally and globally in time, and the blow-up of solutions f...
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condit...
AbstractIn this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show...
We prove the global well-posedness of the two-dimensional Boussinesq equations with only vertical di...
summary:In this work we study the generalized Boussinesq equation with a dissipation term. We show t...
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
We consider a generalization of the Boussinesq equation obtained by adding a term of the form $a(t...
In this article, we investigate the initial-value problem for the sixth-order Boussinesq equation ...
In this article we focus on the global well-posedness of the differential equation u [...] in Omega ...
The Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studie...
Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equatio...
In this thesis we study the global in time solutions of some dispersive partial differential equatio...
This paper analytically and numerically presents global dynamics of the generalized Boussinesq equat...
In this thesis, we establish global well-posedness of the following Cauchy problem for a higher-orde...
In this paper, we consider the well-posedness and asymptotic behavior of Dirichlet initial boundary ...
AbstractWe consider the existence, both locally and globally in time, and the blow-up of solutions f...
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condit...
AbstractIn this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show...
We prove the global well-posedness of the two-dimensional Boussinesq equations with only vertical di...
summary:In this work we study the generalized Boussinesq equation with a dissipation term. We show t...
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
We consider a generalization of the Boussinesq equation obtained by adding a term of the form $a(t...
In this article, we investigate the initial-value problem for the sixth-order Boussinesq equation ...
In this article we focus on the global well-posedness of the differential equation u [...] in Omega ...
The Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studie...
Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equatio...
In this thesis we study the global in time solutions of some dispersive partial differential equatio...
This paper analytically and numerically presents global dynamics of the generalized Boussinesq equat...
In this thesis, we establish global well-posedness of the following Cauchy problem for a higher-orde...
In this paper, we consider the well-posedness and asymptotic behavior of Dirichlet initial boundary ...