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Stability and exponential decay for two-dimensional Boussinesq equations with partial viscosity and thermal diffusion

Advances in Nonlinear Analysis
In this work, we study the two-dimensional anisotropic Boussinesq equations, incorporating only horizontal dissipation in the tangential velocity and horizontal thermal diffusion. When the spatial domain is T×R $\mathbb{T}{\times}\mathbb{R}$ , this paper
Yu Tianyuan
doaj +1 more source

Feedback stabilization of a fluid–rigid body Interaction system

, 2014
International audienceWe study the feedback stabilization of a system composed by an incompressible viscous fluid and a rigid body. We stabilize the position and the velocity of the rigid body and the velocity of the fluid around a stationary state by ...
Badra, Mehdi, Takahashi, Takéo
core

Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]

Calc Var Partial Differ Equ
Abels H, Garcke H, Poiatti A.
europepmc +1 more source

Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure. [PDF]

Calc Var Partial Differ Equ
Park J.
europepmc +1 more source

Long-Time Stability of a Stably Stratified Rest State in the Inviscid 2D Boussinesq Equation. [PDF]

Arch Ration Mech Anal
Jurja C, Widmayer K.
europepmc +1 more source

Stability of Partially Congested Travelling Wave Solutions for the Dissipative Aw-Rascle System. [PDF]

J Math Fluid Mech
Deléage É, Mehmood MA.
europepmc +1 more source

Blow-up analysis for a periodic two-component μ-Hunter-Saxton system. [PDF]