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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 CV

  1. 2012 - 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

Recent
  1. Multiscale problems and relaxation in nonlinear elasticity, Dresden, July 4-5 2017
  2. Lothar-Collatz-Kolloquium, Universität Hamburg, April 6 2017

Editorial Activity

Associate Editor for Acta Applicandae Mathematicae

Publications

  1. A note on relaxation with constraints on the determinant (with N. Fusco), (2017) [preprint]
  2. Hemihelical local minimizers in prestrained elastic bi-strips (with M. Ruf and F. Solombrino), Zeitschrift für angewandte Mathematik und Physik, (2017),68:122 [preprint]
  3. Gamma-convergence analysis of a generalized XY model: fractional vortices and string defects (with R. Badal, L. De Luca and M. Ponsiglione), Commun. Math. Phys. (2017). https://doi.org/10.1007/s00220-017-3026-3 [preprint]
  4. Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (with M. Ruf and A. Braides), (2016), Analysis & PDE, (2018), vol. 11, no.2, 499-553 [preprint]
  5. On global and local minimizers of prestrained thin elastic rods (with M. Ruf and F. Solombrino), Calc. Var. PDEs , (2017), 56:115 [preprint]
  6. Crystalline Motion of Interfaces Between Patterns (with A. Braides and N.K. Yip), J. Stat. Phys., 165 , (2016), no. 2, 74-319 [preprint]
  7. 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]
  8. Interfaces, modulated phases and textures in lattice systems (with A. Braides), Arch. Rat. Mech. Anal., 223, (2017), 977-1017 [preprint]
  9. 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]
  10. 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]
  11. Improved convergence theorems for bubble clusters. I. The planar case (with G.P. Leonardi and F. Maggi), Indiana Univ. Mat. J., 65 (2016), 1979-2050 [preprint]
  12. 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]
  13. Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (with F. Solombrino), Journal of Nonlinear Science, 25 (2015), no.2, 291-313 [preprint]
  14. 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]
  15. Sharp stability inequalities for planar double bubbles (with G.P. Leonardi and F. Maggi), Interfaces and free boundaries, to appear [preprint]
  16. 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]
  17. Best constants for the isoperimetric inequality in quantitative form (with G.P. Leonardi), J. Eur. Math. Soc., 15, (2013), no.3, 1101-1129, [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. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. Variational analysis of the asymptotics of the XY model (with R. Alicandro), Arch. Rat. Mech. Anal. 192, (2009), no. 3, 501-536 [preprint]
  26. A variational description of bulk energies for bounded and unbounded spin systems (with R. Alicandro and A. Gloria), Nonlinearity 21, (2008), no. 8, 1881-1910 [preprint]
  27. 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]
  28. 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]
  29. 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
  30. Surface energies in nonconvex discrete systems (with A. Braides) Math. Models Methods Appl. Sci.,17, (2007), no. 7, 985-1037 [preprint]
  31. 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]
  32. 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
  33. L energies on discontinuous functions (with R. Alicandro and A. Braides), Discrete and Continuous Dynamical Systems, 12 (2005), 905-928 [preprint]
  34. 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]
  35. Asymptotic behaviour of solutions to p-laplacian equation, (with C. Trombetti), Asymptotic Analysis 35 (2003), 27-40
  36. Other Publications

  37. Atomistic-to-continuum variational analysis of random lattice systems, Oberwolfach Rep., (2015)
  38. Chirality transitions in frustrated ferromagnetic chains, PAMM Proc. Appl. Math. Mech. 15, (2015), 23 – 26
  39. Interfaces of discrete patterns, Oberwolfach Rep., 10 (2013)
  40. The XY spin system and the Ginzburg-Landau energy, Oberwolfach Rep., 5 no. 2 (2008), 1126-1129
  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. 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
  43. Boundary layer energies in discrete systems: an approach via Gamma-convergence, in Communication to SIMAI Congress,Vol. 1 (2006)
  44. Dimension reduction for discrete systems, in Communication to SIMAI Congress,Vol. 1 (2006)
  45. Surface energies in discrete systems, Oberwolfach Reports, 1 (2004), no. 3, 1564-1565
  46. Multiscale analysis for nonlinear variational problems arising from discrete system, Ph.D. Thesis (2004)

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]
  10. SS2017 Course on Partial Differential Equations II and Workshop on Selected Topics in Analysis
  11. WS2017/18 Course on Partial Differential Equations and Mathematical Modelling of Materials (MSE)

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