Calculus of Variations and PDEs

Autore: 
Scilla Giovanni
Descrizione: 
RESEARCH INTERESTS
 
• Applied Mathematics and Calculus of Variations
• Variational Analysis of atomistic and continuous physical models, Analysis of multiscale problems
• Homogenization and Gamma-convergence
• Discrete-in-time variational schemes (minimizing movements), Geometric minimizing movements
• Quasi-static limits, Vanishing-viscosity/vanishing-inertia approximations, gradient flows, rate-independent
systems
• Deterministic/Stochastic discrete approximation of functionals in Fracture Mechanics
• Finite-difference approximations, non local approximations
• Nonlinear Elasticity, Nematic elastomers
• Partial regularity of the minimizers of integral functionals
• Stochastic homogenization, Percolation

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