Prof. Dr. Marco Cicalese
Technical University of Munich
Associate Professorship of Mathematical Continuum Mechanics (Prof. Cicalese)
Postal address
Postal:
Boltzmannstr. 3
85748 Garching b. München
Research interests
- Variational analysis of atomistic and continuous physical systems
- Analysis of problems with multiple scales
- Nonlinear-nonlocal problems in Continuum Mechanics
- Stability of Geometric and functional inequalities
Short CV
- 2012 - Professor at TU München
- 2005 - 2012 Assistant Professor at University of Naples
- 2004 - 2005 Research contract at SISSA (Functional Analysis Group with Prof. G. Dal Maso)
- 2004 PhD University of Naples (advisor: Prof. A. Braides)
Conferences, Seminars and Schools
Upcoming
Editorial Activity
- Associate Editor for Acta Applicandae Mathematicae
- Associate Editor for Mathematics in Engineering
Publications
- Surfactants in a non-local model for phase transitions (with T. Heilmann), (2024) [Preprint]
- A notion of s-fractional mass for 1-currents in higher codimension (with T. Heilmann, A. Kubin, F. Onoue and M. Ponsiglione) (2024) [Preprint]
- Stacking faults in the limit of a discrete model for partial edge dislocations (with A. Bach, A. Garroni and G. Orlando) (2024) [Preprint]
- Surfactants in the Two Gradient Theory of Phase Transitions (with T. Heilmann) (2024) [preprint]
- Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles (with A. Kubin), Ann. Scuola Norm. Sup. Pisa Cl. Sci., to appear (2024) [preprint]
- Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (with R. Alicandro and L. De Luca), Nonlinear Analysis., 231 (2023) Paper No. 112871, 21 pp. [preprint]
- Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (with L. Kreutz and G.P. Leonardi), Commun. Math. Phys., 402 (3), 2931-2978, (2023) [preprint]
- Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds (with R. Badal), Calc. Var. PDEs, to appear, (2022) [preprint]
- A classical S^2 spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings (with G. Orlando and M. Ruf), Nonlinear Analysis., 231 (2023), Paper No. 112929, 33 pp [preprint]
- Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (with R. Alicandro and L. De Luca), Nonlinear Analysis., 231 (2023), Paper No. 112871, 21 pp. [preprint]
- Variational analysis of the J_1-J_2-J_3 model: a nonlinear lattice version of the Aviles-Giga functional (with M. Forster and G. Orlando), Arch. Rat. Mech. Anal., 245 (2022), no. 2, 1059–1133. [preprint]
- Phase-field approximation of functionals defined on piecewise-rigid maps (with M. Focardi and C.I. Zeppieri), Journal of Nonlinear Science, (2021) 31:78 [preprint]
- Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches (with R. Alicandro, A. Braides, L. De Luca and A. Piatnitski), Arch. Rat. Mech. Anal., 243 no. 2 (2022), 559-609 [preprint]
- The N-clock model: variational analysis for fast and slow divergence rates of N (with G. Orlando and M. Ruf), Arch. Rat. Mech. Anal., 245 (2022), no. 2, 1135–1196. [preprint]
- The antiferromagnetic XY model on the triangular lattice: Topological singularities (with A. Bach, L. Kreutz and G. Orlando), Indiana Univ. Mat. J., 71 (2022), no.6, 2411–2475. [preprint]
- The antiferromagnetic XY model on the triangular lattice: Chirality transitions at the surface scaling (with A. Bach, L. Kreutz and G. Orlando), Calc. Var. PDEs (2021) 60:149 [preprint]
- Coarse graining and large-N behaviour of the d-dimensional N-clock model (with G. Orlando and M. Ruf), Interfaces and Free Boundaries , 23 no. 3 (2021), 323-351 [preprint]
- From the N-clock model to the XY model: emergence of concentration effects in the variational analysis (with G. Orlando and M. Ruf), Comm. Pure Appl. Math., 75 (2022), no. 10, 2279-2342. [preprint]
- Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (with A. Bach and A. Braides) SIAM J. Math. Anal., 52 (2020) no. 4, 3600-3665 [preprint]
- Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (with M. Forster and G. Orlando), SIAM J. Math. Anal., 51 no.2 (2019), 4848-4893 [preprint]
- Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (with A. Bach and M. Ruf), SIAM J. Math. Anal., 53 no. 2 (2021), 2275-2318 [preprint]
- Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (with G.P. Leonardi), Commun. Math. Phys., 375, (2020), 1931–1944 [preprint]
- From statistical polymer physics to nonlinear elasticity (with A. Gloria and M. Ruf), Arch. Rat. Mech. Anal., 236, (2020), 1127-1215 [preprint]
- A note on relaxation with constraints on the determinant (with N. Fusco), ESAIM: Cocv, (2019), vol. 25, no.41, 1-15 [preprint]
- Hemihelical local minimizers in prestrained elastic bi-strips (with M. Ruf and F. Solombrino), Zeitschrift für angewandte Mathematik und Physik, (2017), 68:122 [preprint]
- 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. 358, (2018), no. 2, 705–739. [preprint]
- Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (with M. Ruf and A. Braides), Analysis & PDE, (2018), vol. 11, no.2, 499-553 [preprint]
- On global and local minimizers of prestrained thin elastic rods (with M. Ruf and F. Solombrino), Calc. Var. PDEs, (2017), 56:115 [preprint]
- Crystalline Motion of Interfaces Between Patterns (with A. Braides and N.K. Yip), J. Stat. Phys., 165, (2016), no. 2, 74-319 [preprint]
- 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]
- Interfaces, modulated phases and textures in lattice systems (with A. Braides), Arch. Rat. Mech. Anal., 223, (2017), 977-1017 [preprint]
- 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]
- 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]
- 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]
- 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]
- Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (with F. Solombrino), Journal of Nonlinear Science, 25, (2015), no.2, 291-313 [preprint]
- 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]
- Sharp stability inequalities for planar double bubbles (with G.P. Leonardi and F. Maggi), Interfaces and free boundaries, 19(3) (2017), 305–350 [preprint]
- 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]
- Best constants for the isoperimetric inequality in quantitative form (with G.P. Leonardi), J. Eur. Math. Soc., 15, (2013), no.3, 1101-1129, [preprint]
- A selection principle for the sharp quantitative isoperimetric inequality (with G.P. Leonardi), Arch. Rat. Mech. Anal., 206, (2012), no.2, 617-643 [preprint]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- Variational analysis of the asymptotics of the XY model (with R. Alicandro), Arch. Rat. Mech. Anal. 192, (2009), no. 3, 501-536 [preprint]
- 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]
- 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]
- 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]
- 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
- Surface energies in nonconvex discrete systems (with A. Braides) Math. Models Methods Appl. Sci.,17, (2007), no. 7, 985-1037 [preprint]
- 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]
- 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
- L∞ energies on discontinuous functions (with R. Alicandro and A. Braides), Discrete and Continuous Dynamical Systems, 12, (2005), 905-928 [preprint]
- 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]
- Asymptotic behaviour of solutions to p-laplacian equation, (with C. Trombetti), Asymptotic Analysis 35, (2003), 27-40
Other Publications
- A maximal fluctuation estimate of Wulff shapes on 2d lattices, Oberwolfach Rep. (2018)
- Atomistic-to-continuum variational analysis of random lattice systems, Oberwolfach Rep., 35, (2015)
- Chirality transitions in frustrated ferromagnetic chains, PAMM Proc. Appl. Math. Mech. 15, (2015), 23 – 26
- Interfaces of discrete patterns, Oberwolfach Rep., 10 (2013)
- The XY spin system and the Ginzburg-Landau energy, Oberwolfach Rep., 5 no. 2 (2008), 1126-1129
- 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
- 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
- Boundary layer energies in discrete systems: an approach via Gamma-convergence, in Communication to SIMAI Congress,Vol. 1 (2006)
- Dimension reduction for discrete systems, in Communication to SIMAI Congress,Vol. 1 (2006)
- Surface energies in discrete systems, Oberwolfach Reports, 1 (2004), no. 3, 1564-1565
- Multiscale analysis for nonlinear variational problems arising from discrete system, Ph.D. Thesis (2004)
Teaching
Winter term 2023/24
Summer term 2024
A list of previous courses can be found on TUMonline.