Articles with "boussinesq system" as a keyword



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Spatial Decay for Solutions to 2-D Boussinesq System with Variable Thermal Diffusivity

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Published in 2018 at "Acta Applicandae Mathematicae"

DOI: 10.1007/s10440-017-0136-z

Abstract: In this paper, the authors derive an explicit spatial decay estimate for the time dependent flow of Boussinesq fluid with thermal conductivity depending on the temperature in a semi-infinite strip. By introducing a stream function,… read more here.

Keywords: decay solutions; decay; solutions boussinesq; system variable ... See more keywords
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On the global well-posedness of 2-D Boussinesq system with variable viscosity

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Published in 2017 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2016.09.036

Abstract: Abstract In this paper, we investigate the global well-posedness of 2-D Boussinesq system, which has variable kinematic viscosity and with thermal conductivity of | D | θ , with general initial data provided that the… read more here.

Keywords: viscosity; global well; posedness boussinesq; well posedness ... See more keywords
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Boundary feedback stabilization of the Boussinesq system with mixed boundary conditions

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Published in 2019 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2018.09.038

Abstract: Abstract We study the feedback stabilization of the Boussinesq system in a two dimensional domain, with mixed boundary conditions. After ascertaining the precise loss of regularity of the solution in such models, we prove first… read more here.

Keywords: feedback stabilization; system; boussinesq system; stabilization boussinesq ... See more keywords
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On the 3D consistency of a Grassmann extended lattice Boussinesq system

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Published in 2020 at "Nuclear Physics B"

DOI: 10.1016/j.nuclphysb.2019.114878

Abstract: In this paper, we formulate a "Grassmann extension" scheme for constructing noncommutative (Grassmann) extensions of Yang-Baxter maps together with their associated systems of P$\Delta$Es, based on the ideas presented in \cite{Sokor-Kouloukas}. Using this scheme, we… read more here.

Keywords: boussinesq system; lattice boussinesq; grassmann;
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Initial–boundary layer associated with the nonlinear Darcy–Brinkman–Oberbeck–Boussinesq system

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Published in 2017 at "Physica D: Nonlinear Phenomena"

DOI: 10.1016/j.physd.2016.08.002

Abstract: Abstract In this paper, we study the vanishing Darcy number limit of the nonlinear Darcy–Brinkman–Oberbeck–Boussinesq system (DBOB). This singular perturbation problem involves singular structures both in time and in space giving rise to initial layers,… read more here.

Keywords: brinkman oberbeck; system; darcy brinkman; nonlinear darcy ... See more keywords
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Exact solutions of the classical Boussinesq system

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Published in 2018 at "Arab Journal of Basic and Applied Sciences"

DOI: 10.1080/25765299.2018.1449416

Abstract: Abstract In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of… read more here.

Keywords: system; solutions classical; classical boussinesq; boussinesq system ... See more keywords

The Boussinesq system revisited

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Published in 2021 at "Nonlinearity"

DOI: 10.1088/1361-6544/abcea6

Abstract: In this work, we revisit the study by Schonbek (1981 J. Differ. Equ. 42 325–52) concerning the problem of existence of global entropic weak solutions for a specific Boussinesq system, as well as the study… read more here.

Keywords: topology; system revisited; system; boussinesq system ... See more keywords