Stability for the Incompressible 2-D Boussinesq System for Magnetohydrodynamics Convection

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:VBlover
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  Consideration in this talk is the stability analysis of the 2-D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity,thermal diffusivity and electrical conductivity.Its established that,the steady-state is globally stable when the steady linear mean temperature profile is increasing in terms of height.Moreover,the decay estimate of the solution to the perturbed system is investigated.It is also shown that,if the mean state decreases with height,the steady state is nonlinearly unstable.
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