On the convergence rates for the three‐dimensional filtered Boussinesq equations
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DOI: 10.1002/mana.201900157
Abstract: In this paper we consider a LES model for the approximation of large scales of the 3D Boussinesq equations. We analyze the convergence rate, in appropriate norms, of the unique regular weak solution of the… read more here.
Keywords: convergence; three dimensional; dimensional filtered; boussinesq equations ... See more keywords
Long Time Behavior of Solutions to the 2D Boussinesq Equations with Zero Diffusivity
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DOI: 10.1007/s10884-019-09802-w
Abstract: We address long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity in the cases of the torus, $${{\mathbb {R}}}^2$$ R 2 , and on a bounded domain with Lions or Dirichlet… read more here.
Keywords: boussinesq equations; solutions boussinesq; behavior solutions; time behavior ... See more keywords
Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$exp-ϕε-expansion method
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DOI: 10.1007/s11082-017-0968-9
Abstract: Nonlinear fractional Boussinesq equations are considered as an important class of fractional differential equations in mathematical physics. In this article, a newly developed method called the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$exp-ϕε-expansion… read more here.
Keywords: boussinesq equations; fractional boussinesq; exp left; method ... See more keywords
The genesis of two-hump, W-shaped and M-shaped soliton propagations of the coupled Schrödinger–Boussinesq equations with conformable derivative
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DOI: 10.1007/s11082-021-02956-2
Abstract: This work oversees with the coupled Schrödinger–Boussinesq equations with conformable derivative, which have lots of applications in laser and plasma. The said equations are reduced to a coupled stationary form using complex travelling wave transformation.… read more here.
Keywords: boussinesq equations; equations conformable; conformable derivative; dinger boussinesq ... See more keywords
New double periodic exact solutions of the coupled Schrödinger–Boussinesq equations describing physical processes in laser and plasma physics
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DOI: 10.1016/j.cjph.2017.08.022
Abstract: Abstract A novel method is proposed to seek more new exact solutions for coupled Schrodinger–Boussinesq equations. In this present paper, an improved algebraic method based on the generalized Jacobi elliptic function method with symbolic computation… read more here.
Keywords: boussinesq equations; method; physics; double periodic ... See more keywords
Boundary feedback stabilization of Boussinesq equations
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DOI: 10.1016/s0252-9602(18)30853-1
Abstract: Abstract The aim of this work is to design oblique boundary feedback controller for stabilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain in ℝ2. Two kinds of such feedback controller… read more here.
Keywords: feedback stabilization; stabilization boussinesq; boussinesq equations; feedback ... See more keywords
A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl
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DOI: 10.1063/5.0125404
Abstract: In this paper, we are devoted to establishing a new regularity criterion of weak solutions to incompressible axisymmetric Boussinesq equations. More precisely, we prove that for a small ϵ > 0, if the angular component… read more here.
Keywords: regularity criterion; boussinesq equations; boussinesq; axisymmetric boussinesq ... See more keywords
A regularity criterion for the 3D Boussinesq equations
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DOI: 10.1080/00036811.2020.1834537
Abstract: In this paper, we consider the regularity criteria of 3D incompressible Boussinesq equations. By using the Littlewood–Paley decomposition technique to establishing a regularity criterion in terms o... read more here.
Keywords: boussinesq equations; regularity criterion; regularity; criterion boussinesq ... See more keywords
Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations
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DOI: 10.1080/14029251.2020.1819610
Abstract: We consider decompositions of two-soliton solutions for the good Boussinesq equation obtained by the Hirota method and the Wronskian technique. The explicit forms of the components are used to study the dynamics of 2-soliton solutions.… read more here.
Keywords: boussinesq equations; good boussinesq; solutions good; soliton solutions ... See more keywords
Effect of Interfacial Tension on Internal Waves Based on Boussinesq Equations in Two-Layer Fluids
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DOI: 10.2112/jcoastres-d-17-00186.1
Abstract: ABSTRACT Mohapatra, S.C.; Gadelho, J.F.M., and Guedes Soares, C., 2019. Effect of interfacial tension on internal waves based on Boussinesq equations in two-layer fluids. Journal of Coastal Research, 35(2), 445–462. Coconut Creek (Florida), ISSN 0749-0208.… read more here.
Keywords: boussinesq equations; tension internal; interfacial tension; effect ... See more keywords
Fractional Numerical Simulation of Coupled Approximate Long Wave and Modified Boussinesq Equations Involving Mittag-Leffler Kernel
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DOI: 10.3390/sym14081632
Abstract: This study examines approximate long wave and the modified Boussinesq equations, as well as their complexities with the Atangana–Baleanu fractional derivative operator in the Caputo sense. The analytical solution of the aforementioned model is discussed… read more here.
Keywords: wave modified; long wave; boussinesq equations; approximate long ... See more keywords