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Non‐linear stability in the Bénard problem for a double‐diffusive mixture in a porous medium

https://doi.org/10.1002/mma.263
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/1099-1476(20001110)23:16<1447::aid-mma173>3.0.co;2-lopenalex-snapshot
Global stability in the B�nard problem for a mixture with superimposed plane parallel shear flows
inferredcites →https://doi.org/10.1002/nag.193openalex-snapshot
Effect of property variation and modelling on convection in a fluid overlying a porous layer
inferredcites →https://doi.org/10.1002/num.1690100105openalex-snapshot
Two‐dimensional modeling of microscale transport and biotransformation in porous media
inferredcites →https://doi.org/10.1002/sapm1995943341openalex-snapshot
Double‐Diffusive Convection in a Porous Medium, Nonlinear Stability, and the Brinkman Effect
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Nonlinear Stability Problem of a Rotating Doubly Diffusive Porous Layer
inferredcites →https://doi.org/10.1007/978-1-4757-2175-1openalex-snapshot
Convection in Porous Media
inferredcites →https://doi.org/10.1007/978-1-4757-2194-2openalex-snapshot
The Energy Method, Stability, and Nonlinear Convection
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Nonlinear stability of convection induced by inclined thermal and solutal gradients
inferredcites →https://doi.org/10.1007/bf01135252openalex-snapshot
On the nonlinear stability of a fluid layer of a mixture heated and salted from below
inferredcites →https://doi.org/10.1016/0017-9310(82)90177-6openalex-snapshot
Finite amplitude convection in a two-component fluid saturated porous layer
inferredcites →https://doi.org/10.1016/0309-1708(90)90015-vopenalex-snapshot
Parallel computing for solute transport models via alternating direction collocation
inferredcites →https://doi.org/10.1016/s0017-9310(96)00204-9openalex-snapshot
Non-linear stability of convection in a porous medium with inclined temperature gradient
inferredcites →https://doi.org/10.1016/s0065-2717(08)70029-7openalex-snapshot
Combined Heat and Mass Transfer by Natural Convection in a Porous Medium
inferredcites →https://doi.org/10.1016/s0065-2717(08)70085-6openalex-snapshot
Heat Transfer in Geothermal Systems
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inferredcites →https://doi.org/10.1016/s1251-8069(98)80018-5openalex-snapshot
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inferredcites →https://doi.org/10.1017/s0022112081002619openalex-snapshot
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inferredcites →https://doi.org/10.1017/s0022112081003315openalex-snapshot
Steady subcritical thermohaline convection
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Network Model of Flow, Transport and Biofilm Effects in Porous Media
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Onset of Thermohaline Convection in a Porous Medium
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Contaminant transport and biodegradation: 1. A numerical model for reactive transport in porous media
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inferredcites →https://doi.org/10.1201/chcomputmthopenalex-snapshot
Computational Mathematics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Effect of anisotropic permeability on double‐diffusive bidisperse porous medium
inferred← citeshttps://doi.org/10.1002/htj.22910openalex-snapshot
Magnetic and chemical reaction effects on double‐diffusive convection with the effect of heat and salt flux boundary conditions
inferred← citeshttps://doi.org/10.1002/mma.1073openalex-snapshot
A differential constraint approach to obtain global stability for radiation‐induced double‐diffusive convection in a porous medium
inferred← citeshttps://doi.org/10.1002/mma.333openalex-snapshot
Non‐linear stability and convection for laminar flows in a porous medium with Brinkman law
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On the spectrum of Euler–Lagrange operator in the stability analysis of Bénard problem
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An operative method to obtain necessary and sufficient stability conditions for double diffusive convection in porous media
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On the instability of double diffusive convection in porous media under boundary data periodic in space
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On instability sources in dynamical systems
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Double-Diffusive Convection
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Double-Diffusive Convection
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Convection induced by the selective absorption of radiation for the Brinkman model
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Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium
inferred← citeshttps://doi.org/10.1007/s00161-003-0162-0openalex-snapshot
Convection due to the selective absorption of radiation in a porous medium
inferred← citeshttps://doi.org/10.1007/s00161-011-0219-4openalex-snapshot
Global nonlinear stability for a triply diffusive convection in a porous layer
inferred← citeshttps://doi.org/10.1007/s00707-009-0205-0openalex-snapshot
Long-time behaviour of fluid motions in porous media according to the Brinkman model
inferred← citeshttps://doi.org/10.1007/s00707-012-0749-2openalex-snapshot
Triple diffusive convection in porous media
inferred← citeshttps://doi.org/10.1007/s10404-013-1208-7openalex-snapshot
Anisotropic inertia effect in microfluidic porous thermosolutal convection
inferred← citeshttps://doi.org/10.1007/s10473-019-0109-6openalex-snapshot
Global Exponential Nonlinear Stability for Double Diffusive Convection in Porous Medium
inferred← citeshttps://doi.org/10.1007/s11242-016-0626-xopenalex-snapshot
Nonlinear Stability of Double-diffusive Convection in a Porous Layer with Throughflow and Concentration based Internal Heat Source
inferred← citeshttps://doi.org/10.1007/s11242-019-01359-yopenalex-snapshot
Heated and Salted Below Porous Convection with Generalized Temperature and Solute Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s11242-021-01642-xopenalex-snapshot
Double-Diffusive Convection in Bidispersive Porous Medium with Chemical Reaction and Magnetic Field Effects
inferred← citeshttps://doi.org/10.1007/s11242-026-02353-xopenalex-snapshot
Linear Stability Analysis of Buoyancy-Driven Convection of Two-Phase Fluid in a Porous Medium
inferred← citeshttps://doi.org/10.1007/s11587-013-0168-2openalex-snapshot
On the stability-instability of vertical throughflows in double diffusive mixtures saturating rotating porous layers with large pores
inferred← citeshttps://doi.org/10.1007/s11587-018-0371-2openalex-snapshot
Thermal convection in an inclined porous layer with Brinkman law
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2010.04.012openalex-snapshot
Structure of the dependence of Darcy and Forchheimer coefficients on porosity
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2010.07.007openalex-snapshot
Long-time behaviour of multi-component fluid mixtures in porous media
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Stability analysis of thermosolutal convection in a horizontal porous layer using a thermal non-equilibrium model
inferred← citeshttps://doi.org/10.1016/j.ijheatmasstransfer.2018.05.056openalex-snapshot
Bidispersive double diffusive convection
inferred← citeshttps://doi.org/10.1016/j.ijheatmasstransfer.2025.128288openalex-snapshot
The dual role of local thermal non-equilibrium for mixed convective heat and mass transfer in porous media: Suppressing heat transfer while enhancing mass transfer
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2011.08.013openalex-snapshot
Global non-linear stability in double diffusive convection via hidden symmetries
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2012.01.009openalex-snapshot
Symmetries and skew-symmetries against onset of convection in porous layers salted from above and below
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2012.03.008openalex-snapshot
Ultimately boundedness and stability of triply diffusive mixtures in rotating porous layers under the action of Brinkman law
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Longtime behavior of vertical throughflows for binary mixtures in porous layers
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Double-diffusive convection in a porous layer subjected to an inclined temperature gradient incorporating Soret effect
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The onset of convection in a binary fluid saturated anisotropic porous layer
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The Lyapunov–Movchan method in problems of the stability of flows and deformation processes
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Multicomponent diffusive-convective fluid motions in porous layers: Ultimately boundedness, absence of subcritical instabilities, and global nonlinear stability for any number of salts
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The combined effect of variable gravity and internal heat source on the double diffusive convection with the effect of reaction and slip boundary
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Double–diffusive convection in a porous medium with a concentration based internal heat source
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An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients
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Onset of convection in porous layers salted from above and below
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STABILITY ANALYSIS FOR ROTATING DOUBLE-DIFFUSIVE CONVECTION IN THE PRESENCE OF VARIABLE GRAVITY AND REACTION EFFECTS: DARCY MODEL
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THERMOSOLUTAL CONVECTION IN ROTATING BIDISPERSIVE POROUS MEDIA WITH GENERAL BOUNDARY CONDITIONS
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Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid
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Onset of convection of a reacting fluid layer in a porous medium with temperature-dependent heat source
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