6533b853fe1ef96bd12ac1de
RESEARCH PRODUCT
APPROXIMATE INERTIAL MANIFOLDS FOR THERMODIFFUSION EQUATIONS
Marco SammartinoVincenzo Sciaccasubject
PhysicsInertial frame of referenceBenard problem inertial manifolds attractors dissipative systemsMathematical analysisSettore MAT/07 - Fisica Matematicadescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-04-01 | Waves and Stability in Continuous Media |