Mathematical Analysis, Modelling, and Applications

The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

Tools for the Solution of PDEs Defined on Curved Manifolds with deal.II

DeSimone A, Heltai L, Manigrasso C. Tools for the Solution of PDEs Defined on Curved Manifolds with deal.II.; 2009. Available from: http://hdl.handle.net/1963/3700

A stability result for nonlinear Neumann problems under boundary variations

Dal Maso G, Ebobisse F, Ponsiglione M. A stability result for nonlinear Neumann problems under boundary variations. J.Math. Pures Appl. (9) 82 (2003) no.5 , 503 [Internet]. 2003 . Available from: http://hdl.handle.net/1963/1618

Globally stable quasistatic evolution in plasticity with softening

Dal Maso G, DeSimone A, Mora MG, Morini M. Globally stable quasistatic evolution in plasticity with softening. Netw. Heterog. Media 3 (2008) 567-614 [Internet]. 2008 . Available from: http://hdl.handle.net/1963/1965

Stability of L-infinity solutions for hyperbolic systems with coinciding shocks and rarefactions

Bianchini S. Stability of L-infinity solutions for hyperbolic systems with coinciding shocks and rarefactions. Siam J. Math. Anal., 2001, 33, 959 [Internet]. 2001 . Available from: http://hdl.handle.net/1963/1523

On the Minimum Problem for Nonconvex Scalar Functionals

Zagatti S. On the Minimum Problem for Nonconvex Scalar Functionals. SIAM J. Math. Anal. 37 (2005) 982-995 [Internet]. 2005 . Available from: http://hdl.handle.net/1963/2764

Stability rates for patchy vector fields

Ancona F, Bressan A. Stability rates for patchy vector fields. ESAIM COCV 10 (2004) 168-200 [Internet]. 2004 . Available from: http://hdl.handle.net/1963/2959

Homogenization of fiber reinforced brittle materials: the extremal cases

Barchiesi M, Dal Maso G. Homogenization of fiber reinforced brittle materials: the extremal cases. SIAM J. Math. Anal. 41 (2009) 1874-1889 [Internet]. 2009 . Available from: http://hdl.handle.net/1963/2705

Exact reconstruction of damaged color images using a total variation model

Fonseca I, Leoni G, Maggi F, Morini M. Exact reconstruction of damaged color images using a total variation model. Ann. Inst. H. Poincare Anal. Non Lineaire 27 (2010) 1291-1331 [Internet]. 2010 . Available from: http://hdl.handle.net/1963/4039

Special functions of bounded deformation

Bellettini G, Coscia A, Dal Maso G. Special functions of bounded deformation. [Internet]. 1995 . Available from: http://hdl.handle.net/1963/978

A Review on stability of switched systems for arbitrary switchings

Boscain U. A Review on stability of switched systems for arbitrary switchings. Geometric control and nonsmooth analysis / ed. by Fabio Ancona, Alberto Bressan [et al.]. - Singapore : World Scientific, 2008. - (Series on Advances in Mathematics for Applied Sciences ; 76). 100-119. [Internet]. 2008 . Available from: http://hdl.handle.net/1963/1996

Recent publications

G.P. Leonardi; G. Saracco,

Rigidity and trace properties...
R. Marchello; A. Colombi; L. Preziosi; C. Giverso,

A non local model for cell mig...
I. Prusak; D. Torlo; M. Nonino; G. Rozza,

Optimisation–Based Coupling of...
M. Berti; A. Maspero; P. Ventura,

Benjamin-Feir Instability of S...

Mathematics