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Prof. Dr. Marco Cicalese

marco_cicalese.jpg

Technische Universität München
Zentrum Mathematik - M7
Boltzmannstraße 3
85747 Garching

Room: 03.08.038
Phone: +49-89-289-17913
eMail: cicalese@ma.tum.de


Research interests

  1. Variational analysis of atomistic and continuous physical systems
  2. Analysis of problems with multiple scales
  3. Nonlinear-nonlocal problems in Continuum Mechanics
  4. Stability issues in Geometric and functional inequalities

Short vita

  1. 2012 - now Professor at TU München
  2. 2005 - 2012 Assistant Professor at University of Naples
  3. 2004 - 2005 Research contract at SISSA (Functional Analysis Group with Prof. G. Dal Maso)
  4. 2004 PhD University of Naples (advisor: Prof. A. Braides)

Conferences, Seminars and Schools

Upcoming
  1. Mathematical Congress of the Americas, Montréal Canada, July 24-28 2017
Recent
  1. SFB Workshop 2016 "DGD Days", Berlin, October 10-14 2016
  2. Advances in the Mathematical Analysis of Material Defects in Elastic Solids, SISSA Trieste, June 6-10 2016

Editorial Activity

Associate Editor for Acta Applicandae Mathematicae

Publications

  1. Asymptotic behaviour of solutions to p-laplacian equation, (with C. Trombetti), Asymptotic Analysis 35 (2003), 27-40
  2. A general integral representation result for continuum limits of discrete energies with superlinear growth, (with R. Alicandro) SIAM J. Math. Anal. 36 (2004), 1-37 [preprint]
  3. L energies on discontinuous functions (with R. Alicandro and A. Braides), Discrete and Continuous Dynamical Systems, 12 (2005), 905-928 [preprint]
  4. Some remarks on the extinction time for the mean curvature flow (with B.Brandolini, C. Nitsch and C. Trombetti), Le Matematiche , 60 (2005), 411-417
  5. Phase and antiphase boundaries in binary discrete systems: a variational viewpoint (with R. Alicandro and A. Braides), Networks and Heterogeneous Media , 1 (2006), no. 1, 85-107 [preprint]
  6. Surface energies in nonconvex discrete systems (with A. Braides) Math. Models Methods Appl. Sci.,17, (2007), no. 7, 985-1037 [preprint]
  7. A sharp estimate of the extinction time for the mean curvature flow (with B.Brandolini, C. Nitsch and C. Trombetti), Appl. Math. Lett. 20, (2007), no. 5, 551-557
  8. Mathematical derivation of a rubber-like stored energy functional (with R. Alicandro and A. Gloria), C. R. Acad. Sci. Paris, Ser. I 345, (2007), 479-482 [preprint]
  9. Continuum limits of discrete thin films with superlinear growth densities (with R. Alicandro and A. Braides), Calc. Var. and PDE 33, (2008), no. 3, 267-297 [preprint]
  10. Integral representation of the bulk limit of a general class of energies for bounded and unbounded spin systems (with R. Alicandro and A. Gloria), Nonlinearity 21, (2008), no. 8, 1881-1910 [preprint]
  11. Variational analysis of the asymptotics of the XY model (with R. Alicandro), Arch. Rat. Mech. Anal. 192, (2009), no. 3, 501-536 [preprint]
  12. Discrete-to-continuum limits for strain-alignment-coupled systems: magnetostrictive solids, ferroelectric crystals and nematic elastomers (with A. De Simone and C.I. Zeppieri), Networks and Heterogeneous Media 4, (2009), no. 4, 667-708 [preprint]
  13. The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions (with Y. Nagase and G. Pisante), Advances in Calculus of Variations, 3, (2010), no. 3, 321-344 [preprint]
  14. Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocation energies (with R. Alicandro and M. Ponsiglione), Indiana Univ. Math. J., 60, (2011), no.1, 171-208 [preprint]
  15. Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity (with R. Alicandro and A. Gloria), Arch. Rat. Mech. Anal., 200 (2011), no. 3, 881-942 [preprint]
  16. Asymptotic analysis of a second-order singular perturbation model for phase transitions (with E.N. Spadaro and C.I. Zeppieri ), Calc. Var. and PDE, 41, (2011), no.1-2, 127-150 [preprint]
  17. Phase transitions in presence of surfactant: from discrete to continuum (with R. Alicandro and L. Sigalotti), Interfaces and free boundaries, 14, (2012), no.1, 65-103 [preprint]
  18. A selection principle for the sharp quantitative isoperimetric inequality (with G.P. Leonardi), Arch. Rat. Mech. Anal., 206, (2012), no.2, 617-643 [preprint]
  19. Best constants for the isoperimetric inequality in quantitative form (with G.P. Leonardi), J. Eur. Math. Soc., 15, (2013), no.3, 1101-1129, [preprint]
  20. Droplet Minimizers of an Isoperimetric Problem with long-range interactions (with E.N. Spadaro), Communications on Pure and Applied Mathematics, 66, (2013), no.28, 1298-1333 [preprint]
  21. Sharp stability inequalities for planar double bubbles (with G.P. Leonardi and F. Maggi), Interfaces and free boundaries, to appear [preprint]
  22. Q-tensor continuum energies as limits of head-to-tail symmetric spin systems (with A. Braides and F. Solombrino), SIAM J. Math. Anal., 47 (2015), 2832–2867, [preprint]
  23. Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (with F. Solombrino), Journal of Nonlinear Science, 25 (2015), no.2, 291-313 [preprint]
  24. Domain formation in magnetic polymer composites: an approach via stochastic homogenization (with R. Alicandro and M. Ruf), Arch. Rat. Mech. Anal., 218, (2015), no. 2, 945-984 [preprint]
  25. Improved convergence theorems for bubble clusters. I. The planar case (with G.P. Leonardi and F. Maggi), Indiana Univ. Mat. J., to appear [preprint]
  26. Chirality transitions in frustrated S2-valued spin systems (with F. Solombrino and M. Ruf), Math. Models Methods Appl. Sci., 26, (2016), no. 8, 1481-1529 [preprint]
  27. Discrete spin systems on random lattices at the bulk scaling (with M. Ruf), Disc. Cont. Dyn. Sys.-S, 10, (2017), no.1, 101-117 [preprint]
  28. Interfaces, modulated phases and textures in lattice systems (with A. Braides), Arch. Rat. Mech. Anal., 223, (2017), 977-1017 [preprint]
  29. Ground states of a two-phase model with cross and self attractive interactions (with L. De Luca, M. Novaga and M. Ponsiglione), SIAM J. Math. Anal., 48 (2016), no. 5, 3412–3443 [preprint]
  30. Crystalline Motion of Interfaces Between Patterns (with A. Braides and N.K. Yip), J. Stat. Phys., 165 , (2016), no. 2, 74-319 [preprint]
  31. On global and local minimizers of prestrained thin elastic rods (with M. Ruf and F. Solombrino), (2016), submitted [preprint]
  32. Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (with M. Ruf and A. Braides), (2016), submitted [preprint]
  33. Gamma-convergence analysis of a generalized XY model: fractional vortices and string defects (with R. Badal, L. De Luca and M. Ponsiglione), (2016), submitted [preprint]
  34. Hemihelical local minimizers in prestrained elastic bi-strips (with M. Ruf and F. Solombrino), (2017), submitted [preprint]
  35. Other Publications

  36. Multiscale analysis for nonlinear variational problems arising from discrete system, Ph.D. Thesis (2004)
  37. Surface energies in discrete systems, Oberwolfach Reports, 1 (2004), no. 3, 1564-1565
  38. Dimension reduction for discrete systems, in Communication to SIMAI Congress,Vol. 1 (2006)
  39. Boundary layer energies in discrete systems: an approach via Gamma-convergence, in Communication to SIMAI Congress,Vol. 1 (2006)
  40. Dimension reduction for discrete systems (with R. Alicandro and A. Braides), in Applied and Industrial Mathematics in Italy II (G.Fotia, L.Puccio eds.), World Sci. (2007), 25-36
  41. Convergence analysis of the Böl-Reese discrete model for rubber (with R. Alicandro and A. Gloria), in Continuum Models and Discrete Systems; Cmds 11 (D. Jeulin and S. Forest eds), Presses De L'Ecole Des Mines, 2008
  42. The XY spin system and the Ginzburg-Landau energy, Oberwolfach Rep., 5 no. 2 (2008), 1126-1129
  43. Interfaces of discrete patterns, Oberwolfach Rep., 10 (2013)
  44. Chirality transitions in frustrated ferromagnetic chains, PAMM Proc. Appl. Math. Mech. 15, (2015), 23 – 26
  45. Atomistic-to-continuum variational analysis of random lattice systems, Oberwolfach Rep., (2015)

Teaching

  1. SS2012 Course on Calculus of Variations
  2. WS2012/13 Course on Partial Differential Equations and Seminar on Selected Topics in Analysis
  3. SS2013 Course on Gamma-convergence and Applications and Seminar on Homogenization
  4. WS2013/14 Course on Mathematische Grundlagen (MSE) [MA9801] and Seminar on Minimal Surfaces and Functions of Bounded Variation
  5. SS2014 Course on Differential und Integralrechnung (MSE) [MA9802] and Seminar on Advances in Measure Theory
  6. WS2014/15 Course on Mathematische Grundlagen (MSE) [MA9801]
  7. SS2015 Course on Differential und Integralrechnung (MSE) [MA9802] and Seminar on Introducton to evolutionary PDEs and gradient flows
  8. WS2015/16 Course on Mathematische Grundlagen (MSE) [MA9801]
  9. SS2016 Course on Differential und Integralrechnung (MSE) [MA9802]

News and additional material regarding courses and seminars can be found here