Análise

Topological derivative for two-scale topology optimization

Àlex Ferrer
CIMNE - Universitat Politècnica de Catalunya

Abstract: The aim of the talk is to address multiscale topology optimization problems. For this purpose, the concept of topological derivative in conjunction with the computational homogenization method will be considered and the following techniques will be presented:

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Free Boundary Problems for Viscous Fluids

Vsevolod Solonnikov
Steklov Mathematics Institute - St.Petersburg

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Quantization of energy and weakly turbulent profiles for some dissipative wave equations

Por Alain Haraux (Labo. J.-L. Lions and Univ. Pierre et Marie Curie).

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Degree theory for discontinuous operators with applications to Ordinary Differential Equations

Rubén Figueroa
Universidade de Santiago de Compostela

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Multiplicity results for a class of asymptotically linear systems of second-order ordinary differential equations

Francesca Dalbono
Università degli Studi di Palermo

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Evolution Processes generated by Semilinear Parabolic Equations

Carlos Rocha
CAMGSD - Instituto Superior Técnico

Abstract: We consider small nonautonomous perturbations of autonomous evolution processes generated by certain scalar semilinear parabolic differential equations. Extending the notion of Morse-Smale dynamical system to the nonautonomous framework we show that under generic assumptions the above evolution processes are Morse-Smale.

This is a joint work with Radoslaw Czaja and Waldyr Oliva.