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Displaying similar documents to “L∞(L2) and L∞(L∞) error estimates for mixed methods for integro-differential equations of parabolic type”

Motion with friction of a heavy particle on a manifold - applications to optimization

Alexandre Cabot (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

Let Φ : be a function on a real Hilbert space and ∑ ⊂ the manifold defined by ∑ := Graph (Φ). We study the motion of a material point with unit mass, subjected to stay on and which moves under the action of the gravity force (characterized by ), the reaction force and the friction force ( γ > 0 is the friction parameter). For any initial conditions at time , we prove the existence of a trajectory defined on . We are then interested in the asymptotic...