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Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation

https://doi.org/10.1007/s00526-021-01976-w
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-4650-3openalex-snapshot
Geophysical Fluid Dynamics
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An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations
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On the global well-posedness of a class of Boussinesq–Navier–Stokes systems
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Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations
inferredcites →https://doi.org/10.1007/s00205-013-0610-3openalex-snapshot
Global Regularity for the Two-Dimensional Anisotropic Boussinesq Equations with Vertical Dissipation
inferredcites →https://doi.org/10.1007/s00205-020-01515-5openalex-snapshot
Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion
inferredcites →https://doi.org/10.1007/s00220-009-0821-5openalex-snapshot
Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data
inferredcites →https://doi.org/10.1007/s00220-014-2146-2openalex-snapshot
Finite Time Blow Up for a 1D Model of 2D Boussinesq System
inferredcites →https://doi.org/10.1007/s00332-014-9220-yopenalex-snapshot
Eventual Regularity of the Two-Dimensional Boussinesq Equations with Supercritical Dissipation
inferredcites →https://doi.org/10.1007/s00332-019-09603-xopenalex-snapshot
On the Striated Regularity for the 2D Anisotropic Boussinesq System
inferredcites →https://doi.org/10.1007/s11854-018-0073-4openalex-snapshot
A global regularity result for the 2D Boussinesq equations with critical dissipation
inferredcites →https://doi.org/10.1007/s40818-020-00080-0openalex-snapshot
Finite-Time Singularity Formation for Strong Solutions to the Boussinesq System
inferredcites →https://doi.org/10.1016/j.aim.2005.05.001openalex-snapshot
Global regularity for the 2D Boussinesq equations with partial viscosity terms
inferredcites →https://doi.org/10.1016/j.aim.2010.08.017openalex-snapshot
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
inferredcites →https://doi.org/10.1016/j.aim.2012.04.004openalex-snapshot
The 2D Boussinesq equations with logarithmically supercritical velocities
inferredcites →https://doi.org/10.1016/j.aim.2015.05.019openalex-snapshot
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
inferredcites →https://doi.org/10.1016/j.aim.2017.11.019openalex-snapshot
Finite time blow up in the hyperbolic Boussinesq system
inferredcites →https://doi.org/10.1016/j.cnsns.2011.06.039openalex-snapshot
New upper bounds and reduced dynamical modeling for Rayleigh–Bénard convection in a fluid saturated porous layer
inferredcites →https://doi.org/10.1016/j.jde.2010.03.021openalex-snapshot
The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
inferredcites →https://doi.org/10.1016/j.jde.2010.07.008openalex-snapshot
Global well-posedness for a Boussinesq–Navier–Stokes system with critical dissipation
inferredcites →https://doi.org/10.1016/j.jde.2011.05.027openalex-snapshot
Global regularity results for the 2D Boussinesq equations with vertical dissipation
inferredcites →https://doi.org/10.1016/j.jde.2013.07.011openalex-snapshot
Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
inferredcites →https://doi.org/10.1016/j.jde.2014.02.012openalex-snapshot
Small global solutions to the damped two-dimensional Boussinesq equations
inferredcites →https://doi.org/10.1016/j.jde.2014.03.012openalex-snapshot
Generalized 2D Euler–Boussinesq equations with a singular velocity
inferredcites →https://doi.org/10.1016/j.jde.2014.08.006openalex-snapshot
Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
inferredcites →https://doi.org/10.1016/j.jde.2015.04.029openalex-snapshot
Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations
inferredcites →https://doi.org/10.1016/j.jde.2015.09.049openalex-snapshot
Global regularity results for the 2D Boussinesq equations with partial dissipation
inferredcites →https://doi.org/10.1016/j.jde.2016.01.014openalex-snapshot
Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
inferredcites →https://doi.org/10.1016/j.jde.2019.02.020openalex-snapshot
The 2D Boussinesq equations with vertical dissipation and linear stability of shear flows
inferredcites →https://doi.org/10.1016/j.jfa.2012.01.017openalex-snapshot
Smoothing estimates of 2d incompressible Navier–Stokes equations in bounded domains with applications
inferredcites →https://doi.org/10.1016/j.matpur.2018.01.006openalex-snapshot
The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion
inferredcites →https://doi.org/10.1016/j.na.2009.07.008openalex-snapshot
Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
inferredcites →https://doi.org/10.1016/j.physd.2017.07.003openalex-snapshot
Partially dissipative 2D Boussinesq equations with Navier type boundary conditions
inferredcites →https://doi.org/10.1016/j.physd.2017.12.013openalex-snapshot
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion
inferredcites →https://doi.org/10.1017/cbo9780511608803openalex-snapshot
Applied Analysis of the Navier-Stokes Equations
inferredcites →https://doi.org/10.1017/cbo9780511613203openalex-snapshot
Vorticity and Incompressible Flow
inferredcites →https://doi.org/10.1017/s0308210500026810openalex-snapshot
Local existence and blow-up criterion for the Boussinesq equations
inferredcites →https://doi.org/10.1080/03605302.2010.518657openalex-snapshot
Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
inferredcites →https://doi.org/10.1088/0951-7715/27/9/2215openalex-snapshot
Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
inferredcites →https://doi.org/10.1088/0951-7715/9/4/013openalex-snapshot
Heat transfer in convective turbulence
inferredcites →https://doi.org/10.1090/cbms/106openalex-snapshot
Nonlinear Dispersive Equations
inferredcites →https://doi.org/10.1090/cln/009openalex-snapshot
Introduction to PDEs and Waves for the Atmosphere and Ocean
inferredcites →https://doi.org/10.1115/1.3157711openalex-snapshot
Geophysical Fluid Dynamics
inferredcites →https://doi.org/10.1137/140958256openalex-snapshot
The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
inferredcites →https://doi.org/10.1137/14099036xopenalex-snapshot
Sharp Decay Estimates for an Anisotropic Linear Semigroup and Applications to the Surface Quasi-Geostrophic and Inviscid Boussinesq Systems
inferredcites →https://doi.org/10.1142/s0218202511005106openalex-snapshot
GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
inferredcites →https://doi.org/10.1142/s0218202519500210openalex-snapshot
On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term
inferredcites →https://doi.org/10.1307/mmj/1281531460openalex-snapshot
2D Inviscid heat conductive boussinesq equations on a bounded domain
inferredcites →https://doi.org/10.1512/iumj.2022.71.9070openalex-snapshot
The stabilizing effect of the temperature on buoyancy-driven fluids
inferredcites →https://doi.org/10.3934/dcds.2005.12.1openalex-snapshot
Global well-posedness of the viscous Boussinesq equations
inferredcites →https://doi.org/10.4310/cms.2016.v14.n7.a10openalex-snapshot
Regularity criteria for the 2D Boussinesq equations with supercritical dissipation
inferredcites →https://doi.org/10.4310/cms.2016.v14.n7.a9openalex-snapshot
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
inferredcites →https://doi.org/10.4310/cms.2018.v16.n3.a2openalex-snapshot
The 3D incompressible Boussinesq equations with fractional partial dissipation
inferredcites →https://doi.org/10.4310/cms.2019.v17.n8.a11openalex-snapshot
Stability and decay rates for a variant of the 2D Boussinesq–Bénard system
inferredcites →https://doi.org/10.48550/arxiv.1108.2678openalex-snapshot
Global regularity for the 2D anisotropic Boussinesq Equations with vertical dissipation
inferredcites →https://doi.org/10.48550/arxiv.1212.3227openalex-snapshot
The 2D incompressible Boussinesq equations with general critical dissipation

What points at this work

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

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Global Well-Posedness and Stability of the 2d Boussinesq Equations with Partial Dissipation Near a Hydrostatic Equilibrium
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Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations
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Stability for the Two‐Dimensional Boussinesq Equations With Fractional Horizontal Dissipation and Thermal Diffusion
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Stability for the 2D magnetic Bénard system with partial dissipation and thermal damping near an equilibrium
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Stability and Large‐Time Behavior for 2D Magnetic Bénard System With Fractional Partial Dissipation in 𝕋×ℝ∗
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Stability of the 2D Boussinesq‐MHD System With Fractional Horizontal Dissipation
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On the Stability of the 2D Boussinesq‐MHD Equations in Two Kinds of Strip Domains
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Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity
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Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion
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Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance
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Stability for the 2D Micropolar Rayleigh-Bénard Convection System with Fractional Horizontal Dissipation
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Impact of reynolds number and slip/no-slip boundary condition on stratification in a two-dimensional boussinesq system
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$$L^2$$ Decay for the 2-D Oldroyd-B Model with Linear Damping Stress
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Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction
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Instability and stability analysis of three-dimensional nonhomogeneous incompressible fluid in a spherical ring under the influence of a general potential
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Unconditional stability and error analysis of a decoupled scalar auxiliary variable (SAV) method for the Boussinesq system near hydrostatic equilibrium
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