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APPROXIMATE INERTIAL MANIFOLDS FOR THERMODIFFUSION EQUATIONS

2004

In this paper, we consider the two dimensional equations of thermohydraulics, i.e. the coupled system of equations of fluid and temperature in the Boussinesq approximation. We construct a family of approximate Inertial Manifolds whose order decreases exponentially fast with respect to the dimension of the manifold. We give the explicit expression of the order of the constructed manifolds.

PhysicsInertial frame of referenceBenard problem inertial manifolds attractors dissipative systemsMathematical analysisSettore MAT/07 - Fisica MatematicaWaves and Stability in Continuous Media
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