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Lorenzo Giacomelli - Publications



45. L.G., Salvador Moll, Francesco Petitta. Nonlinear diffusion in transparent media. International Mathematics Research Notices, , pp. 1–52 [DOI: 10.1093/imrn/rnab295]

44. Riccardo Durastanti, L.G., Giuseppe Tomassetti. Shape programming of a magnetic elastica. Math. Models Methods Appl. Sci. 31, No. 4 (2021), 675-710 [DOI: 10.1142/S0218202521500160].

43. L.G., Michal
Łasica, Salvador Moll. Regular 1-harmonic flow. Calculus of Variations and Partial Differential Equations 58 (2019), article no. 82 [DOI: 10.1007/s00526-019-1526-z].

42. Michiel Bertsch, L..G., Alberto Tesei.
Measure-valued solutions to a nonlinear fourth-order regularization of forward-backward parabolic equations. SIAM J. Math. Anal. 51 (2019), 374–402 [DOI: 10.1137/18M1203821].

41. Michal Łasica, L.G.. A local estimate for vectorial total variation minimization in one dimension. Nonlinear Anal. 181 (2019), 141-146 [DOI: 10.1016/j.na.2018.11.009]

40.
L.G., Salvador Moll, Francesco Petitta. Nonlinear diffusion in transparent media: The resolvent equation. Adv. Calc. Var. 11 (2018), no. 4, 405–432 [DOI: 10.1515/acv-2017-0002]

39. Maria Chiricotto, L.G.. Weak solutions to thin-film equations with contact-line friction. Interfaces and Free Boundaries 19 (2017), 243–271 [DOI: 10.4171/IFB/382]

38. L.G., Salvador Moll, Francesco Petitta. Optimal waiting time bounds for some flux-saturated diffusion equations. Communications in Partial Differential Equations 42 (2017), 556–578 [DOI: 10.1080/03605302.2017.1294179]

37. L.G., Manuel Gnann, Felix Otto. Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law. Nonlinearity 29 (2016), 2497–2536. [DOI: 10.1088/0951-7715/29/9/2497]

36. A. Di Castro, L.G.. The 1-harmonic flow with values into a smooth planar curve. Nonlinear Analysis 143 (2016), 174–192 [DOI: 10.1016/j.na.2016.05.007]

35. Maria Chiricotto, L.G., G. Tomassetti. Dissipative scale effects in strain-gradient plasticity: the case of simple shear. SIAM J. Appl. Math. 76 (2016), 688–704 [DOI: 10.1137/15M1048227].

34. L.G.. Finite Speed of Propagation and Waiting Time Phenomena for Degenerate Parabolic Equations with Linear Growth Lagrangian. SIAM J. Math. Anal. 47 (2015), 2426–2441 [DOI: 10.1137/130945077].

33. L.G. Manuel Gnann, Hans Knuepfer, Felix Otto. Well-Posedness for the Navier-slip thin-film equation in the case of complete wetting. J. Differential Equations 257 (2014), 15–81 [DOI: 10.1016/j.jde.2014.03.010].
 
32. L.G., José M. Mazon, Salvador Moll. The 1-harmonic flow with values into a hyper-octant of the N-sphere. Analysis and PDE 7 (2014), No. 3, 627-671 [DOI: 10.2140/apde.2014.7.627].

31. L.G., José M. Mazon, Salvador Moll. Solutions to the 1-harmonic flow with values into a hyper-octant of the N-sphere. Appl. Math. Letters 26 (2013), 1061-1064 [DOI:  10.1016/j.aml.2013.05.016].

30. L.G., Manuel Gnann, Felix Otto. Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3. Euro. J. Appl. Math. 24 (2013), 735–760. [DOI: 10.1017/S0956792513000156].

29. L.G., Jose M. Mazon, Salvador Moll. The 1-harmonic flow with values into $S^1$. SIAM J. Math. Anal. 45 (2013), 1723–1740 [ DOI: 10.1137/12088402X]

28. Micol Amar, Maria Chiricotto, L.G., Giuseppe Riey. Mass-constrained minimization of a one-homogenous functional arising in strain-gradient plasticity. J. Math. Anal. Appl. 397 (2013), 381-401 [DOI: 10.1016/j.jmaa.2012.07.054].

27. Maria Chiricotto, L.G.. Scaling laws for droplets spreading under contact-line friction. Comm. Math. Sci. 11 (2013), 361–383 [DOI: 10.4310/CMS.2013.v11.n2.a2].

26. Maria Chiricotto, L.G., Giuseppe Tomassetti. Torsion in strain-gradient plasticity: energetic scale effects. SIAM J. Appl. Math. 72 (2012), 1169-1191 [DOI: 10.1137/120863034].

25. Maria Chiricotto, L.G. Droplets spreading with contact-line friction: lubrication approximation and traveling wave solutions. Communications in Applied and Industrial Mathematics 2 (2011), no. 2, 1-16 [DOI: 10.1685/journal.caim.388]

24. Michiel Bertsch, Roberta Dal Passo, L.G., Giuseppe Tomassetti. A nonlocal and fully nonlinear degenerate parabolic system from strain-gradient plasticity. Discrete and Continuous Dynamical Systems B 15 (2011), 15-43.

23. L.G., Salvador Moll. Rotationally symmetric 1-harmonic flows from $D^2$ to $S^2$: local well-posedness and finite time blowup. SIAM J. Math. Anal. 42 (2010) 2791–2817

22. L.G., Hans Knuepfer. A free boundary problem of fourth order: classical solutions in weighted Hölder spaces. Communications in Partial Differential Equations 35 (2010), 2059 — 2091. 

21. Grigory I. Barenblatt, Michiel Bertsch, L.G. Steady and quasi-steady thin viscous flows near the edge of a solid surface. Euro. J. Applied Math. 21 (2010), 253-270. [journal]

20. L.G., Giuseppe Tomassetti. A dissipative system arising in strain-gradient plasticity. In: Applied and industrial mathematics in Italy III, E. De Bernardis, R. Spigler and V. Valente Eds., Series on Advances in Mathematics for applied sciences 82, World Scientific, Singapore, 2009.

19. L.G., Hans Knuepfer, Felix Otto. Smooth zero-contact-angle solutions to the thin-film equation around the steady state. Journal of Differential Equations 245, n. 6 (2008), 1454-1506. [journal]
19.C Bjoern Bringmann, L.G., Hans Knuepfer, Felix Otto. Corrigendum to “Smooth zero-contact-angle solutions to a thin-film equation around the steady state” [J.Differential Equations 245 (2008) 1454–1506]. J. Differential Equations 261 (2016), 1622–1635 [DOI: 10.1016/j.jde.2016.04.010]

18. L.G.
Nonlinear higher-order boundary value problems describing thin viscous flows near edges. Journal of Mathematical Analysis and Applications 345 (2008), 632-649 [journal].

17. Roberta Dal Passo, L.G., Salvador Moll. Rotationally symmetric 1-harmonic maps from D^2 to S^2. Calculus of Variations and Partial Differential Equations 32 (2008), 533-554. [journal]

16. L.G., Guenther Gruen. Lower bounds on waiting time for degenerate parabolic equations and systems. Interfaces and Free Boundaries (2006), 111--129. [journal]

15. L.G., Andrey Shishkov. Propagation of support in one-dimensional convected thin-film flow. Indiana University Mathematics Journal  54 (2005), 1181--1215. [journal]

14. Michiel Bertsch, L.G., Georgia Karali. Thin-film equations with "partial wetting" energy: Existence of weak solutions. Physica D 209 (2005), 17--27. [journal]

13. L.G., Felix Otto. New bounds for the Kuramoto-Sivashinsky equation. Communications on Pure and Applied Mathematics 58 (2005), 297-318. [journal]

12. Lidia Ansini, L.G. Doubly nonlinear thin-film equation in one space dimension. Archives for Rational Mechanics and Analysis 173 (2004), 89-131. [journal]

11. L.G., Felix Otto. Rigorous lubrication approximation. Interfaces and Free Boundaries 5 (2003), 483-529[journal]

10. Roberta Dal Passo, L.G., Guenther Gruen. Waiting time phenomena for degenerate parabolic equations - a unifying approach. In Geometric Analysis and Nonlinear Partial Differential Equations, S. Hildebrandt and H. Karcher Eds., Springer-Verlag Berlin Heidelberg New York, 2003, 637-648.

9. L.G., Felix Otto. Droplet spreading: Intermediate scaling law by PDE methods. Communications on Pure and Applied Mathematics LV (2002), 217-254[journal]

8. Lidia Ansini, L.G. Shear-thinning liquid films: Macroscopic and asymptotic behaviour by quasi self-similar solutions. Nonlinearity 15 (2002), 2147-2164. [journal]

7. Roberta Dal Passo, L.G., Andrey Shishkov. The thin film equation with nonlinear diffusion. Communications in Partial Differential Equations 26 (2001), 1509-1557. [journal]

6. Roberta Dal Passo, L.G., Guenther Gruen. A waiting time phenomenon for thin film equations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze XXX (2001), 437-463.

5. L.G., Felix Otto. Variational formulation for the lubrication approximation of the Hele-Shaw flow. Calculus of Variations and Partial Differential Equations 13 (2001), 377-403. [DOI]

4. Michiel Bertsch, Roberta Dal Passo, Stephen H. Davis, L.G. Effective and microscopic contact angles in thin film dynamics. European Journal of Applied Mathematics 11 (2000), 181-201. [journal]

3. L.G. A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane. Applied Mathematics Letters 12 (1999), 107-111. [journal]

2. Roberta Dal Passo, L.G. Weak solutions of a strongly coupled degenerate parabolic system. Advances in Differential Equations 4 (1999), 613-638. 

1. Roberta Dal Passo, L.G., Amy Novick-Cohen. Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility. Interfaces and Free Boundaries1 (1999), no. 2, 199-226. [journal]