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

Available papers (25):

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• 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)

Speaker:

• 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