Abstract:
The asymptotic model of Oberbeck–Boussinesq convection is
considered in the case when the heat conductivity
$\delta$ is equal to zero and the viscosity $\mu=+\infty$. The global
existence and uniqueness results are proved for the basic
initial-boundary-value problem; both classical and generalized solutions are considered.
It is shown that each solution approaches an equilibrium as $t\to\mp\infty$.
Bibliography: 41 titles.
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