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.
SAMMARTINO M, SCIACCA V (2004). Approximate inertial manifolds for thermodiffusion equations. In "WASCOM 2003"---12th Conference on Waves and Stability in Continuous Media (pp.494-499). SINGAPORE : WORLD SCIENTIFIC PUBL CO PTE LTD [10.1142/9789812702937_0057].
Approximate inertial manifolds for thermodiffusion equations
SAMMARTINO, Marco Maria Luigi;SCIACCA, Vincenzo
2004-01-01
Abstract
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.
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