Displaying similar documents to “A semilinear control problem involving homogenization.”

Approximate controllability of linear parabolic equations in perforated domains

Patrizia Donato, Aïssam Nabil (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we consider an approximate controllability problem for linear parabolic equations with rapidly oscillating coefficients in a periodically perforated domain. The holes are ε -periodic and of size ε . We show that, as ε → 0 , the approximate control and the corresponding solution converge respectively to the approximate control and to the solution of the homogenized problem. In the limit problem, the approximation of the final state is alterated by a constant which depends on the...

Junction of elastic plates and beams

Antonio Gaudiello, Régis Monneau, Jacqueline Mossino, François Murat, Ali Sili (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the linearized elasticity system in a multidomain of 𝐑 3 . This multidomain is the union of a horizontal plate with fixed cross section and small thickness , and of a vertical beam with fixed height and small cross section of radius r ε . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When and r ε tend to zero simultaneously, with r ε ≫ ε 2 , we identify the limit problem. This limit problem involves six junction conditions.