منابع مشابه
Stability of Optimal Controls for the Stationary Boussinesq Equations
The stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for temperature are considered. The optimal control problems for these equations with tracking-type functionals are formulated. A local stability of the concrete control problem solutions with respect t...
متن کاملnon-hydrostatic, three-dimensional Boussinesq equations
We study the three-dimensional, incompressible, non-hydrostatic Boussinesq fluid equations, which are applicable to the dynamics of the oceans and atmosphere. These equations describe the interplay between velocity shear and buoyancy gradients in a rotating frame, which are represented in a hierarchy of dynamical variables Ωm(t) for 1 ≤ m < ∞, identified as the sum of the L-norms of these varia...
متن کاملDissipative Boussinesq equations
The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated nu...
متن کاملOn the Δ-primitive and Boussinesq Type Equations
In this article we consider the Primitive Equations without horizontal viscosity but with a mild vertical viscosity added in the hydrostatic equation, as in [13] and [16], which are the so-called δ−Primitive Equations. We prove that the problem is well posed in the sense of Hadamard in certain types of spaces. This means that we prove the finite-in-time existence, uniqueness and continuous depe...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1991
ISSN: 0386-2194
DOI: 10.3792/pjaa.67.159