Calculus of Variations
Research focus
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The main topics are: I) Direct methods in calculus of variations; II) Variational problems with multiple scales. The underlying mathematical models are connected with continuum mechanics, image segmentation, material science and convex optimization. The focus is on the following goals: (i) analysis of free discontinuity problems: regularity of weak solutions, Euler equations and cracktip analysis; (ii) dimension reduction in continuum mechanics; (iii) variational models of damage, plasticity and crack; (iv) homogeneization and optimal shape analysis with GMT techniques; (vi) slicing, semicontinuity and compactness in SBV, SBD and SBH spaces; (vii) mass transport; (viii) concentration of Ginzburg-Landau energies with supercritical growth; (ix) game theory: generic well posedness in optimization problems; (x) duality and linear programming.
Dipartimento di afferenza
Docenti afferenti
Full Professors
Franco Tomarelli
Roberto Lucchetti
Stefano Mortola
Associate Professors
Ilaria Fragalą