Abstract. The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical so-lution is proved and the solution is constructed in the form of a series. The major term of its long-time asymptotics is calculated explicitly and a uniform in space estimate of the residual term is given
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
In the paper, asymptotic solutions of the Cauchy problem with localized initial data for the two-dim...
ftp ejde.math.swt.edu or ejde.math.unt.edu (login: ftp) Long-time asymptotics for the damped Boussin...
Abstract. The Cauchy problem for the damped Boussinesq equation with small initial data is considere...
The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two s...
Abstract. For the damped Boussinesq equation utt−2butxx = −αuxxxx+ uxx + β(u2)xx, x ∈ (0, π), t> ...
For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1...
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condit...
This article deals with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations...
Abstract. In this article, we consider the two-dimensional dissipative Boussi-nesq systems which mod...
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asym...
AbstractIn this article, we study the Cauchy problem of generalized Boussinesq equations. We prove t...
In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being ...
The L2 space solution of an initial boundary problem for a generalized damped Boussinesq equation is...
AbstractWe consider the existence, both locally and globally in time, and the blow-up of solutions f...
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
In the paper, asymptotic solutions of the Cauchy problem with localized initial data for the two-dim...
ftp ejde.math.swt.edu or ejde.math.unt.edu (login: ftp) Long-time asymptotics for the damped Boussin...
Abstract. The Cauchy problem for the damped Boussinesq equation with small initial data is considere...
The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two s...
Abstract. For the damped Boussinesq equation utt−2butxx = −αuxxxx+ uxx + β(u2)xx, x ∈ (0, π), t> ...
For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1...
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condit...
This article deals with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations...
Abstract. In this article, we consider the two-dimensional dissipative Boussi-nesq systems which mod...
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asym...
AbstractIn this article, we study the Cauchy problem of generalized Boussinesq equations. We prove t...
In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being ...
The L2 space solution of an initial boundary problem for a generalized damped Boussinesq equation is...
AbstractWe consider the existence, both locally and globally in time, and the blow-up of solutions f...
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
In the paper, asymptotic solutions of the Cauchy problem with localized initial data for the two-dim...
ftp ejde.math.swt.edu or ejde.math.unt.edu (login: ftp) Long-time asymptotics for the damped Boussin...