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A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids
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An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source
A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity
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On the thermal flow through a porous annular region
Existence and uniqueness for a convective phase change model with temperature–dependent viscosity
Y. Belhamadia, J. Deteix, B. Jaffal-Mourtada and D. Yakoubi Journal of Mathematical Analysis and Applications 527(2) 127559 (2023) https://doi.org/10.1016/j.jmaa.2023.127559
A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
An iterative scheme for solving a coupled Darcy–convection–diffusion model
Mofdi El-Amrani, Loubna Salhi, Mohammed Seaid and Driss Yakoubi Journal of Mathematical Analysis and Applications 517(2) 126603 (2023) https://doi.org/10.1016/j.jmaa.2022.126603
Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation
Alejandro Allendes, Gilberto Campaña and Enrique Otárola SIAM Journal on Scientific Computing 45(5) A2755 (2023) https://doi.org/10.1137/22M1536340
A stabilized finite element method for the Stokes–Temperature coupled problem
The stationary Boussinesq problem under singular forcing
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Finite element methods for the Darcy-Forchheimer problem coupled with the convection-diffusion-reaction problem
Toni Sayah, Georges Semaan and Faouzi Triki ESAIM: Mathematical Modelling and Numerical Analysis 55(6) 2643 (2021) https://doi.org/10.1051/m2an/2021066
Stabilized finite element approximations for a generalized Boussinesq problem: A posteriori error analysis
Alejandro Allendes, César Naranjo and Enrique Otárola Computer Methods in Applied Mechanics and Engineering 361 112703 (2020) https://doi.org/10.1016/j.cma.2019.112703
Impact of convection and radiation on direct/hybrid heating stability of field assisted sintering
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
Eligio Colmenares, Gabriel N. Gatica and Sebastián Moraga ESAIM: Mathematical Modelling and Numerical Analysis 54(5) 1525 (2020) https://doi.org/10.1051/m2an/2020007
Lptheory for Boussinesq system with Dirichlet boundary conditions
A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
Alejandro Allendes, Gabriel R. Barrenechea and César Naranjo Computer Methods in Applied Mechanics and Engineering 340 90 (2018) https://doi.org/10.1016/j.cma.2018.05.020
Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium
Analysis of an augmented mixed‐primal formulation for the stationary Boussinesq problem
Eligio Colmenares, Gabriel N. Gatica and Ricardo Oyarzúa Numerical Methods for Partial Differential Equations 32(2) 445 (2016) https://doi.org/10.1002/num.22001
Dual-mixed finite element methods for the stationary Boussinesq problem
The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments
Carlos E. Pérez, Jean‐Marie Thomas, Serge Blancher and René Creff International Journal for Numerical Methods in Fluids 56(1) 91 (2008) https://doi.org/10.1002/fld.1572
Existence de solutions pour une classe de systèmes non linéaires de Boussinesq
The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 1: Analysis of the continuous problem
Carlos E. Pérez, Jean‐Marie Thomas, Serge Blancher and René Creff International Journal for Numerical Methods in Fluids 56(1) 63 (2008) https://doi.org/10.1002/fld.1509
On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in
L
2
M.Santos da Rocha, Marko A. Rojas-Medar and M. Drina Rojas-Medar Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459(2031) 609 (2003) https://doi.org/10.1098/rspa.2002.1036
A historical survey of some mathematical aspects of Newtonian fluid
flows