[paolinim]

Full Professor, Dip. di Matematica e Fisica, Università Cattolica sede di Brescia

**Email:** *paolini AT dmf.unicatt.it*

Works in the subject of numerical analysis of parabolic pdes, mainly reaction diffusion equations and systems (bidomain model). Geometric evolution of surfaces.

**Home-page:** http://dmf.unicatt.it/~paolini/

**arxiv id:** paolini_m_1

**orcid id:** 0000-0001-9703-5813

- G. Bellettini - A. Betti - M. Paolini (Submitted Paper)

A free boundary singular transport equation as a formal limit of a discrete dynamical system (2022) - G. Bellettini - A. Elshorbagy - M. Paolini - R. Scala (Preprint)

On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions (2019) - G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)

Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone (2017) - G. Bellettini - M. Paolini - F. Pasquarelli - G. Scianna (Submitted Paper)

Covers, soap films and BV functions (2017) - S. Amato - G. Bellettini - M. Paolini (Submitted Paper)

Constrained $BV$ functions on covering spaces for minimal networks and Plateau's type problems (2015) - L. Tealdi - G. Bellettini - M. Paolini (Submitted Paper)

Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity (2015) - G. Bellettini - V. Beorchia - M. Paolini - F. Pasquarelli (Book:
*Computational Imaging and Vision, Springer-Verlag, to appear*)

Shape Reconstruction from Apparent Contours. Theory and Algorithms (2014) - G. Bellettini - M. Paolini - L. Tealdi (Accepted Paper)

On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity (2014) - S. Amato - G. Bellettini - M. Paolini (Submitted Paper)

The nonlinear multidomain model: a new formal asymptotic analysis (2013) - G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)

Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model (2012) - G. Bellettini - M. Novaga - M. Paolini (
*Math. Mod. Meth. Appl. Sc.*)

Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension (2011) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)

Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space (2009) - G. Bellettini - M. Paolini (Submitted Paper)

On the area of the graph of a singular map from the plane to the plane taking three values (2009) - G. Bellettini - M. Novaga - M. Paolini - C. Tornese (
*Calcolo*)

Classification of the equilibria for the semi-discrete Perona-Malik equation (2009) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)

Completion of visible contours (2008) - G. Bellettini - M. Novaga - M. Paolini - C. Tornese (
*J. Differential Eqs.*)

Convergence of discrete schemes for the Perona-Malik equation (2008) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)

An explicit formula for a Bennequin-type invariant for apparent contours (2007) - M. Novaga - M. Paolini (
*Math. Mod. Meth. Appl. Sc.*)

Nonuniqueness for crystalline curvature flow (2007) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)

Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions (2006) - G. Bellettini - M. Novaga - M. Paolini (
*Arch. Rational Mech. Anal.*)

On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets (2001) - G. Bellettini - M. Novaga - M. Paolini (
*Arch. Rational Mech. Anal.*)

On a crystalline variational problem, part I: first variation and global $L^\infty$ regularity (2001) - M. Negri - M. Paolini (
*Calcolo*)

Numerical minimization of the Mumford-Shah functional (2001) - G. Bellettini - M. Novaga - M. Paolini (
*Interfaces and Free Boundaries*)

Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case (2001) - G. Bellettini - M. Novaga - M. Paolini (
*Interfaces and Free Boundaries*)

Facet--breaking for three--dimensional crystals evolving by mean curvature (1999) - G. Bellettini - M. Novaga - M. Paolini (
*Comm. Partial Differential Equations*)

An example of three dimensional fattening for linked space curves evolving by curvature (1998)

*1 dec 2023 - 2 dec 2023:*Curvature-driven geometric problems*21 feb 2022 - 25 feb 2022:*Free Boundary Problems and Related Evolution Equations*19 apr 2012 - 20 apr 2012:*Geometric PDEs and applications