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Boussinesq equations

Global Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density Dependent Boussinesq Equations with Vacuum

Global Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density Dependent Boussinesq Equations with Vacuum

... [10] Qiu, H. and Yao, Z. (2017) Well-Posedness for Density-Dependent Boussinesq Eq- uations without Dissipation Terms in Besov Spaces. Computers & Mathematics with Applications , 73, 1920-1931. ...

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Persistence of global well posedness for the 2D Boussinesq equations with fractional dissipation

Persistence of global well posedness for the 2D Boussinesq equations with fractional dissipation

... In this paper, we study the well-posedness and related problem on Boussinesq equations with fractional dissipation which have recently attracted considerable interest. This paper proves the persistence of ...

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The local existence of strong solution for the stochastic 3D Boussinesq equations

The local existence of strong solution for the stochastic 3D Boussinesq equations

... To the best of our knowledge, the problem of the existence and uniqueness of the strong solutions for the 3D stochastic full viscosity Boussinesq equations is still open. In this paper, we prove that the ...

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Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations

Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations

... inviscid Boussinesq equations has been made (see, ...high-dimensional Boussinesq equations for large initial data, it is natural to consider the blow-up (or regularity) crite- ...the ...

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Exact solutions of Boussinesq equations using differential transform method combined with Adomian polynomials

Exact solutions of Boussinesq equations using differential transform method combined with Adomian polynomials

... In this research, differential transform method combined with Adomian polynomials has been applied to solving the Boussinesq equations. The method is applied in a direct way without using linearization, ...

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Local Strong Solutions for the Cauchy Problem of 2D Density Dependent Boussinesq Equations with Vacuum

Local Strong Solutions for the Cauchy Problem of 2D Density Dependent Boussinesq Equations with Vacuum

... incompressible Boussinesq equations, there are strong coupled terms that bring us some new difficulties, such as u θ and u ∇ θ . For the purpose of controling u θ and u ∇ θ , which are infered from the ...

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Local Existence for Boussinesq Equations with Slip Boundary Condition in a Bounded Domain

Local Existence for Boussinesq Equations with Slip Boundary Condition in a Bounded Domain

... Boussinesq equations are the classical model of fluid mechanics. There are a lot of important applications in marine ecology and weather forecasting. There are a lot of related conclusions about 2-D ...

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A POD based reduced order finite difference extrapolating model for the non stationary incompressible Boussinesq equations

A POD based reduced order finite difference extrapolating model for the non stationary incompressible Boussinesq equations

... A proper orthogonal decomposition (POD) method is used to establish a POD-based reduced-order finite difference (FD) extrapolating model with fully second-order accuracy for the non-stationary incompressible ...

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The Euler implicit/explicit scheme for the Boussinesq equations

The Euler implicit/explicit scheme for the Boussinesq equations

... Euler implicit/explicit scheme (.) for the Boussinesq equations. The mathematical in- duction has been used to obtain the desired results; this technique has also been used to other problems, for example, ...

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Conservative Fourier spectral scheme for the coupled Schrödinger–Boussinesq equations

Conservative Fourier spectral scheme for the coupled Schrödinger–Boussinesq equations

... In the paper, the conservative Fourier spectral scheme is presented for the coupled Schrödinger–Boussinesq equations. We apply the Fourier collocation scheme to spatial derivatives and the Crank–Nicolson ...

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Multiple soliton solutions for the variant Boussinesq equations

Multiple soliton solutions for the variant Boussinesq equations

... The Hirota bilinear method is used to handle the variant Boussinesq equations. Multiple soliton solutions and multiple singular soliton solutions are formally established. It is shown that the Hirota ...

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A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger Boussinesq Equations

A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger Boussinesq Equations

... In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both ...

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Local exact controllability for the 2-D Boussinesq equations with the Navier slip boundary conditions

Local exact controllability for the 2-D Boussinesq equations with the Navier slip boundary conditions

... Navier-Stokes equations with the slip boundary conditions was obtained by ...the Boussinesq system. The controllability of 2-D Navier-Stokes equations with slip boundary conditions for the case σ(x) ...

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The regularity criterion for weak solutions to the n-dimensional Boussinesq system

The regularity criterion for weak solutions to the n-dimensional Boussinesq system

... The Boussinesq system is extensively used in the atmospheric sciences and oceano- graphic turbulence (see [–] and references ...D Boussinesq equations is a big open ...

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Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the  exp(- phi(Xi))-expansion Method

Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the exp(- phi(Xi))-expansion Method

... Research on finding exact traveling wave solutions to the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation and good Boussinesq equations have been done by several researchers. As for example, Lanlan ...

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The fractional Boussinesq equation of groundwater flow and its applications

The fractional Boussinesq equation of groundwater flow and its applications

... fractional Boussinesq equations (fBEs) for groundwater flow in confined and unconfined aquifers and demonstrates the application of one of the fBEs for groundwater discharges known as recession ...

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Incorporating velocity shear into the magneto-Boussinesq approximation

Incorporating velocity shear into the magneto-Boussinesq approximation

... the equations of fully compressible ...almost-incompressible Boussinesq approximation (Spiegel and Veronis 1960), so can mag- netic buoyancy be incorporated into a similar magneto-Boussinesq ...

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Solution of singular one dimensional Boussinesq equation by using double conformable Laplace decomposition method

Solution of singular one dimensional Boussinesq equation by using double conformable Laplace decomposition method

... nonlinear Boussinesq equations such as model flows of water in unconfined ...fractional Boussinesq equations are appropriate for discussing the water propagation through heterogeneous porous ...

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Modelling and simulation of waves in three-layer porous media

Modelling and simulation of waves in three-layer porous media

... dispersive Boussinesq equation has been derived for surface wave propagation in three-layer porous ...the Boussinesq equa- tion for one-layer porous media recorded in the ...for Boussinesq solitary ...

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ON COUPLED SYSTEM OF NAVIER-STOKES EQUATIONS AND TEMPERATURE IN INFINITE CHANNEL

ON COUPLED SYSTEM OF NAVIER-STOKES EQUATIONS AND TEMPERATURE IN INFINITE CHANNEL

... In the first approximation, the local temperature of the fluid may be considered a passive scalar, i.e., a quantity characteristic of each particular fluid element whose space-time evolution is thus controlled by the ...

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