Research interests |
Funding |
Calculus of Variations and Partial Differential Equations and their applications to Mechanics, Materials, Biology.
Ongoing projectsDynamics of dislocations and disclinations
Evolutionary mean-field games Geometrically constrained walls in micromagnetics Homogenization in A-quasiconvexity Mathematical analysis of the Langmuir-Blodgett transfer Structured deformations and applications Self-propulsion in viscous fluids |
GNAMPA Project 2024 Analisi asintotica di modelli evolutivi di interazione.
GNAMPA Project 2023 Modelli variazionali ed evolutivi per problemi di adesione e di contatto. GNAMPA Project 2022 Approccio multiscala all'analisi di modelli di interazione. GNAMPA Project 2020 Analisi variazionale di modelli non-locali nelle scienze applicate. GNAMPA Project 2019 Analysis and optimisation of thin structures. GNAMPA Project 2015 |
Publications
[48] M. Zoppello, H. Shum, and M. Morandotti: Controllability and kinetic limit of spherical particles immersed in a viscous fluid. arXiv:2410.16793 (Submitted).
[47] P. Cesana, A. Grillo, M. Morandotti, and A. Pastore: Space-time evolution of Volterra disclinations. arXiv:2408.15457 (Submitted).
[46] C. Zhang, G. Amici, and M. Morandotti: Calibrating the Heston Model with Deep Differential Networks. arXiv:2407.15536 (Submitted).
[45] H. Shum, M. Zoppello, M. Astwood, and M. Morandotti: Control of Microparticles Through Hydrodynamic Interactions. arXiv:2406.05235 (Submitted).
[44] P. Gidoni, M. Morandotti, and M. Zoppello: Gait controllability of length-changing slender microswimmers. arXiv:2405.11961, Math. Mech. Complex Syst. (to appear).
[43] D. Engl, C. Kreisbeck, and M. Morandotti: Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities. arXiv:2402.15450 J. Convex Anal. (to appear).
[42] M. Abrate, F. Ceragioli, M. Morandotti, and M. L. Spreafico, Editors: Exploring Math: Nine Hands-on Eye-opening Lab Projects. Classroom Resource Material Series, MAA Press (to appear).
[41] S. Krömer, M. Kružík, M. Morandotti, and E. Zappale: Measure-valued structured deformations.
J. Nonlinear Sci., 34:article number 100, 2024.
[40] L. Lussardi, A. Melchor Hernandez, and M. Morandotti: Modeling Self-Aggregation of Stochastic Particles: A Γ-Convergence Approach.
M3AS, 34(10):1971-1994, 2024.
[39] A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen, and E. Zappale: The variational modeling of hierarchical structured deformations.
J. Elast., 155:371-392, 2024.
[38] A. Kubin, L. Lussardi, and M. Morandotti: Direct minimization of the Canham–Helfrich energy on generalized Gauss graphs.
J. Geom. Anal., 34, 121, 2024.
[37] P. Cesana, L. De Luca, and M. Morandotti: Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method.
SIAM J. Math. Anal., 56(1):79-136, 2024.
[36] S. Almi, M. Morandotti, and F. Solombrino: Optimal control problems in transport dynamics with additive noise.
Journal of Differential Equations 373:1-47, 2023.
[35] S. Almi, C. D'Eramo, M. Morandotti, and F. Solombrino: Mean-field limits for entropic multi-population dynamical systems.
Milan Journal of Mathematics 91:175-212, 2023.
[34] J. Matias, M. Morandotti, and D. R. Owen: Energetic Relaxation to Structured Deformations. A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics.
SpringerBriefs on PDEs and Data Science, 2023.
[33] M. Zoppello, M. Morandotti, and H. Bloomfield-Gadêlha: Controlling non-controllable scallops.
Meccanica 57:2187-2197, 2022.
[32] M. Amar, J. Matias, M. Morandotti, and E. Zappale: Periodic homogenization in the context of structured deformations.
Z. Angew. Math. Phys. 73, 173, 2022.
[31] G. Albi, S. Almi, M. Morandotti, and F. Solombrino: Mean-field selective optimal control via transient leadership.
Appl. Math. Optim., 85, 9, 2022.
[30] R. Marchello, M. Morandotti, H. Shum, M. Zoppello: The N-link swimmer in three dimensions: controllability and optimality results.
Acta Applicandae Mathematicae 178(6), 2022 (Published online 8 March 2022).
[29] S. Almi, M. Morandotti, F. Solombrino: A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games.
Journal of Evolution Equations 21(2):2691-2733, 2021.
[28] J. Matias, M. Morandotti, D. R. Owen, E. Zappale: Upscaling and spatial localization of non-local energies with applications to crystal plasticity.
Mathematics and Mechanics of Solids 26(7):963-997, 2021.
[27] L. Ambrosio, M. Fornasier, M. Morandotti, G. Savaré: Spatially Inhomogeneous Evolutionary Games.
Comm. Pure Appl. Math. 74(7):1353-1402, 2021.
[26] I. Lucardesi, M. Morandotti, R. Scala, D. Zucco: Upscaling of screw dislocations with increasing tangential strain.
Rend. Lincei Mat. Appl. 31(2): 419-443, 2020.
[25] M. Morandotti, F. Solombrino: Mean-field analysis of multi-population dynamics with label switching.
SIAM J. Math. Anal. 52(2):1427-1462, 2020.
[24] M. Bonacini, E. Davoli, M. Morandotti: Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films.
NoDEA (2019) 26:36.
[23] P. van Meurs, M. Morandotti: Discrete-to-continuum limits of particles with an annihilation rule.
SIAM J. Appl. Math. 79(5):1940-1966, 2019.
[22] I. Lucardesi, M. Morandotti, R. Scala, D. Zucco: Confinement of dislocations inside a crystal with a prescribed external strain.
Riv. Mat. Univ. Parma 9(2):283-327, 2018.
[21] G. Carita, J. Matias, M. Morandotti, D. R. Owen: Dimension reduction in the context of structured deformations.
J. Elast. 133(1):1-35, 2018.
[20] M. Morandotti: Structured Deformations of Continua: Theory and Applications.
In Mathematical Analysis of Continuum Mechanics and Industrial Applications II.
Proceedings of the conference CoMFoS16, van Meurs, Kimura, Notsu Editors. Mathematics for Industry 30:125-136. Springer Singapore, 2018.
[19] M. Morandotti: Qualitative and quantitative properties of the dynamics of screw dislocations.
AIMETA 2017 Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics.
L. Ascione, V. Berardi, L. Feo, F. Fraternali, A. M. Tralli (eds.) vol. 3:1062-1073, 2017.
[18] M. Morandotti: Structured deformations and applications.
Proc. Appl. Math. Mech., 17(1):711-712, 2017. Special Issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar 2017; Editors: C. Könke, Weimar, and C. Trunk, Ilmenau.
[17] T. Hudson, M. Morandotti: Properties of screw dislocation dynamics: time estimates on boundary and interior collisions.
SIAM J. Appl. Math. 77(5):1678-1705, 2017.
[16] M. Morandotti: Boundary Behaviour and Confinement of Screw Dislocations.
MRS Advances 48(2):2633-2638, 2017.
[15] A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen: Second-order structured deformations: relaxation, integral representation and applications.
Arch. Rational Mech. Anal. 225:1025-1072, 2017.
[14] J. Matias, M. Morandotti, E. Zappale: Optimal Design of Fractured Media with Prescribed Macroscopic Strain.
Journal of Mathematical Analysis and Applications, 449:1094-1132, 2017.
[13] A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen: Explicit Formulas for Relaxed Disarrangement Densities Arising from Structured Deformations.
Math. Mech. Complex Syst., 5(2):163-189, 2017.
[12] G. A. Bonaschi, P. van Meurs, M. Morandotti: Dynamics of screw dislocations: a generalised minimising-movements scheme approach.
Eur. J. Appl. Math. 28(4):636-655, 2017.
[11] T. Blass, M. Morandotti: Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear.
J. Convex Anal. 24(2):547-570, 2017.
[10] G. Dal Maso, M. Morandotti: A model for the quasistatic growth of cracks with fractional dimension.
Nonlinear Analysis Series A: Theory, Methods & Applications, 154:43-58, 2017.
[9] J. Matias, M. Morandotti: Homogenization problems in the Calculus of Variations: an overview.
São Paulo Journal of Mathematical Sciences 9(2):162-180, 2015.
[8] M.G. Persico, L. Lodola, F. E. Buroni, M. Morandotti, P. Pallavicini, C. Aprile: 99mTc - Human Serum Albumin nanocolloids: particle sizing and radioactivity distribution.
Journal of Labelled Compounds and Radiopharmaceuticals. 58(9):376-382, 2015.
[7] J. Matias, M. Morandotti, P. M. Santos: Homogenization of functionals with linear growth in the context of A-quasiconvexity.
Appl. Math. Optim., 72(3):523-547, 2015.
[6] T. Blass, I. Fonseca, G. Leoni, M. Morandotti: Dynamics for Systems of Screw Dislocations.
SIAM J. Appl. Math. 75(2):393-419, 2015.
[5] G. Dal Maso, A. DeSimone, M. Morandotti: One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls.
ESAIM Control Optim. Calc. Var., 21(1):190-216, 2015.
[4] R. Choksi, M. Morandotti, M. Veneroni: Global minimizers for axisymmetric multiphase membranes.
ESAIM Control Optim. Calc. Var. 19:1014-1029, 2013.
[3] M. Morandotti: Self-propelled micro-swimmers in a Brinkman fluid.
J. Biol.Dyn. 6(suppl. 1):88-103, 2012.
[2] G. Bertolini, C. Rossi, D. Crespi, S. Finazzi, M. Morandotti, S. Rossi, M. Peta, M. Langer, D. Poole: Is influenza A(H1N1) pneumonia more severe than other community-acquired pneumonias? Results of the GiViTI survey of 155 Italian ICUs.
Intensive Care Medicine 37(11):1746-1755, 2011.
[1] G. Dal Maso, A. DeSimone, M. Morandotti: An existence and uniqueness result for the motion of self-propelled microswimmers.
SIAM J. Math. Anal, 43(3):1345-1368, 2011.
[47] P. Cesana, A. Grillo, M. Morandotti, and A. Pastore: Space-time evolution of Volterra disclinations. arXiv:2408.15457 (Submitted).
[46] C. Zhang, G. Amici, and M. Morandotti: Calibrating the Heston Model with Deep Differential Networks. arXiv:2407.15536 (Submitted).
[45] H. Shum, M. Zoppello, M. Astwood, and M. Morandotti: Control of Microparticles Through Hydrodynamic Interactions. arXiv:2406.05235 (Submitted).
[44] P. Gidoni, M. Morandotti, and M. Zoppello: Gait controllability of length-changing slender microswimmers. arXiv:2405.11961, Math. Mech. Complex Syst. (to appear).
[43] D. Engl, C. Kreisbeck, and M. Morandotti: Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities. arXiv:2402.15450 J. Convex Anal. (to appear).
[42] M. Abrate, F. Ceragioli, M. Morandotti, and M. L. Spreafico, Editors: Exploring Math: Nine Hands-on Eye-opening Lab Projects. Classroom Resource Material Series, MAA Press (to appear).
[41] S. Krömer, M. Kružík, M. Morandotti, and E. Zappale: Measure-valued structured deformations.
J. Nonlinear Sci., 34:article number 100, 2024.
[40] L. Lussardi, A. Melchor Hernandez, and M. Morandotti: Modeling Self-Aggregation of Stochastic Particles: A Γ-Convergence Approach.
M3AS, 34(10):1971-1994, 2024.
[39] A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen, and E. Zappale: The variational modeling of hierarchical structured deformations.
J. Elast., 155:371-392, 2024.
[38] A. Kubin, L. Lussardi, and M. Morandotti: Direct minimization of the Canham–Helfrich energy on generalized Gauss graphs.
J. Geom. Anal., 34, 121, 2024.
[37] P. Cesana, L. De Luca, and M. Morandotti: Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method.
SIAM J. Math. Anal., 56(1):79-136, 2024.
[36] S. Almi, M. Morandotti, and F. Solombrino: Optimal control problems in transport dynamics with additive noise.
Journal of Differential Equations 373:1-47, 2023.
[35] S. Almi, C. D'Eramo, M. Morandotti, and F. Solombrino: Mean-field limits for entropic multi-population dynamical systems.
Milan Journal of Mathematics 91:175-212, 2023.
[34] J. Matias, M. Morandotti, and D. R. Owen: Energetic Relaxation to Structured Deformations. A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics.
SpringerBriefs on PDEs and Data Science, 2023.
[33] M. Zoppello, M. Morandotti, and H. Bloomfield-Gadêlha: Controlling non-controllable scallops.
Meccanica 57:2187-2197, 2022.
[32] M. Amar, J. Matias, M. Morandotti, and E. Zappale: Periodic homogenization in the context of structured deformations.
Z. Angew. Math. Phys. 73, 173, 2022.
[31] G. Albi, S. Almi, M. Morandotti, and F. Solombrino: Mean-field selective optimal control via transient leadership.
Appl. Math. Optim., 85, 9, 2022.
[30] R. Marchello, M. Morandotti, H. Shum, M. Zoppello: The N-link swimmer in three dimensions: controllability and optimality results.
Acta Applicandae Mathematicae 178(6), 2022 (Published online 8 March 2022).
[29] S. Almi, M. Morandotti, F. Solombrino: A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games.
Journal of Evolution Equations 21(2):2691-2733, 2021.
[28] J. Matias, M. Morandotti, D. R. Owen, E. Zappale: Upscaling and spatial localization of non-local energies with applications to crystal plasticity.
Mathematics and Mechanics of Solids 26(7):963-997, 2021.
[27] L. Ambrosio, M. Fornasier, M. Morandotti, G. Savaré: Spatially Inhomogeneous Evolutionary Games.
Comm. Pure Appl. Math. 74(7):1353-1402, 2021.
[26] I. Lucardesi, M. Morandotti, R. Scala, D. Zucco: Upscaling of screw dislocations with increasing tangential strain.
Rend. Lincei Mat. Appl. 31(2): 419-443, 2020.
[25] M. Morandotti, F. Solombrino: Mean-field analysis of multi-population dynamics with label switching.
SIAM J. Math. Anal. 52(2):1427-1462, 2020.
[24] M. Bonacini, E. Davoli, M. Morandotti: Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films.
NoDEA (2019) 26:36.
[23] P. van Meurs, M. Morandotti: Discrete-to-continuum limits of particles with an annihilation rule.
SIAM J. Appl. Math. 79(5):1940-1966, 2019.
[22] I. Lucardesi, M. Morandotti, R. Scala, D. Zucco: Confinement of dislocations inside a crystal with a prescribed external strain.
Riv. Mat. Univ. Parma 9(2):283-327, 2018.
[21] G. Carita, J. Matias, M. Morandotti, D. R. Owen: Dimension reduction in the context of structured deformations.
J. Elast. 133(1):1-35, 2018.
[20] M. Morandotti: Structured Deformations of Continua: Theory and Applications.
In Mathematical Analysis of Continuum Mechanics and Industrial Applications II.
Proceedings of the conference CoMFoS16, van Meurs, Kimura, Notsu Editors. Mathematics for Industry 30:125-136. Springer Singapore, 2018.
[19] M. Morandotti: Qualitative and quantitative properties of the dynamics of screw dislocations.
AIMETA 2017 Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics.
L. Ascione, V. Berardi, L. Feo, F. Fraternali, A. M. Tralli (eds.) vol. 3:1062-1073, 2017.
[18] M. Morandotti: Structured deformations and applications.
Proc. Appl. Math. Mech., 17(1):711-712, 2017. Special Issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar 2017; Editors: C. Könke, Weimar, and C. Trunk, Ilmenau.
[17] T. Hudson, M. Morandotti: Properties of screw dislocation dynamics: time estimates on boundary and interior collisions.
SIAM J. Appl. Math. 77(5):1678-1705, 2017.
[16] M. Morandotti: Boundary Behaviour and Confinement of Screw Dislocations.
MRS Advances 48(2):2633-2638, 2017.
[15] A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen: Second-order structured deformations: relaxation, integral representation and applications.
Arch. Rational Mech. Anal. 225:1025-1072, 2017.
[14] J. Matias, M. Morandotti, E. Zappale: Optimal Design of Fractured Media with Prescribed Macroscopic Strain.
Journal of Mathematical Analysis and Applications, 449:1094-1132, 2017.
[13] A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen: Explicit Formulas for Relaxed Disarrangement Densities Arising from Structured Deformations.
Math. Mech. Complex Syst., 5(2):163-189, 2017.
[12] G. A. Bonaschi, P. van Meurs, M. Morandotti: Dynamics of screw dislocations: a generalised minimising-movements scheme approach.
Eur. J. Appl. Math. 28(4):636-655, 2017.
[11] T. Blass, M. Morandotti: Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear.
J. Convex Anal. 24(2):547-570, 2017.
[10] G. Dal Maso, M. Morandotti: A model for the quasistatic growth of cracks with fractional dimension.
Nonlinear Analysis Series A: Theory, Methods & Applications, 154:43-58, 2017.
[9] J. Matias, M. Morandotti: Homogenization problems in the Calculus of Variations: an overview.
São Paulo Journal of Mathematical Sciences 9(2):162-180, 2015.
[8] M.G. Persico, L. Lodola, F. E. Buroni, M. Morandotti, P. Pallavicini, C. Aprile: 99mTc - Human Serum Albumin nanocolloids: particle sizing and radioactivity distribution.
Journal of Labelled Compounds and Radiopharmaceuticals. 58(9):376-382, 2015.
[7] J. Matias, M. Morandotti, P. M. Santos: Homogenization of functionals with linear growth in the context of A-quasiconvexity.
Appl. Math. Optim., 72(3):523-547, 2015.
[6] T. Blass, I. Fonseca, G. Leoni, M. Morandotti: Dynamics for Systems of Screw Dislocations.
SIAM J. Appl. Math. 75(2):393-419, 2015.
[5] G. Dal Maso, A. DeSimone, M. Morandotti: One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls.
ESAIM Control Optim. Calc. Var., 21(1):190-216, 2015.
[4] R. Choksi, M. Morandotti, M. Veneroni: Global minimizers for axisymmetric multiphase membranes.
ESAIM Control Optim. Calc. Var. 19:1014-1029, 2013.
[3] M. Morandotti: Self-propelled micro-swimmers in a Brinkman fluid.
J. Biol.Dyn. 6(suppl. 1):88-103, 2012.
[2] G. Bertolini, C. Rossi, D. Crespi, S. Finazzi, M. Morandotti, S. Rossi, M. Peta, M. Langer, D. Poole: Is influenza A(H1N1) pneumonia more severe than other community-acquired pneumonias? Results of the GiViTI survey of 155 Italian ICUs.
Intensive Care Medicine 37(11):1746-1755, 2011.
[1] G. Dal Maso, A. DeSimone, M. Morandotti: An existence and uniqueness result for the motion of self-propelled microswimmers.
SIAM J. Math. Anal, 43(3):1345-1368, 2011.