COMPLETE LIST OF PUBLICATIONS
RECENT PAPERS
( updated April 30, 2013 )
- P. Colli, G. Gilardi, P. Krejčí, P. Podio-Guidugli & J. Sprekels,
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system,
preprint arXiv:1304.4503v1
[math.AP] (2013) 1-30.
- P. Colli, G. Gilardi & J. Sprekels,
Regularity of the solution to a nonstandard system of phase field equations,
preprint arXiv:1303.3107v1
[math.AP] (2013) 1-11.
- P. Colli, G. Gilardi, P. Krejčí & J. Sprekels,
A continuous dependence result for a nonstandard system of phase field equations,
preprint arXiv:1303.3104v1
[math.AP] (2013) 1-9.
- E. Bonetti, P. Colli & G. Gilardi,
Singular limit of a integrodifferential system related to the entropy balance,
preprint arXiv:1301.2806v1
[math.AP] (2013) 1-21.
- P. Colli, G. Gilardi, P. Krejčí & J. Sprekels,
A vanishing diffusion limit in a nonstandard system of phase field equations,
preprint arXiv:1212.4054v1
[math.AP] (2012) 1-20.
- P. Colli & J. Sprekels,
Optimal control of an Allen-Cahn equation with singular potentials and dynamic
boundary condition,
preprint arXiv:1212.2359v1
[math.AP] (2012) 1-24.
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
Continuous dependence for a nonstandard Cahn-Hilliard system
with nonlinear atom mobility,
WIAS Preprint No. 1742 (2012) 1-24.
- L. Calatroni & P. Colli,
Global solution to the Allen-Cahn equation with singular potentials
and dynamic boundary conditions,
Nonlinear Anal. 79 (2013), 12-27
doi:10.1016/j.na.2012.11.010
preprint arXiv:1206.6738v1
[math.AP]
- G. Canevari & P. Colli,
Convergence properties for a generalization of the Caginalp phase field system,
Asymptot. Anal. 82 (2013), 139-162
10.3233/ASY-2012-1142
preprint arXiv:1205.6093v1
[math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
Global existence and uniqueness for a singular/degenerate
Cahn-Hilliard system with viscosity,
J. Differential Equations 254 (2013), 4217-4244
10.1016/j.jde.2013.02.014
preprint arXiv:1205.4979v2
[math.AP]
- P. Colli & Ph. Laurençot,
A phase-field approximation of the Willmore flow with volume and area constraints,
SIAM J. Math. Anal. 44 (2012), 3734-3754
doi:10.1137/120874126
preprint arXiv:1204.4274v1
[math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
Global existence for a strongly coupled Cahn-Hilliard system with viscosity,
Boll. Unione Mat. Ital. (9) 5 (2012), 495-513
preprint arXiv:1202.5210v1
[math.AP]
- P. Colli, G. Gilardi & J. Sprekels,
Analysis and optimal boundary control of a nonstandard system of phase field equations,
Milan J. Math. 80 (2012), 119-149
doi:10.1007/s00032-012-0181-z
preprint arXiv:1201.5541v2
[math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity,
Discrete Contin. Dyn. Syst. Ser. S 6 (2013), 353-368
doi:10.3934/dcdss.2013.6.353
preprint arXiv:1109.3303v1
[math.AP]
- E. Bonetti, P. Colli & Ph. Laurençot,
Global existence for a hydrogen storage model with full energy balance,
Nonlinear Anal. 75 (2012), 3558-3573
doi:10.1016/j.na.2012.01.015
preprint arXiv:1108.1332v1
[math.AP]
- G. Canevari & P. Colli,
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system,
Commun. Pure Appl. Anal. 11 (2012), 1959-1982
doi:10.3934/cpaa.2012.11.1959
preprint arXiv:1107.3950v2 [math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
Distributed optimal control of a nonstandard system of phase field equations,
Contin. Mech. Thermodyn. 24 (2012), 437-459
doi:10.1007/s00161-011-0215-8
preprint arXiv:1106.3668v1
[math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system,
SIAM J. Appl. Math. 71 (2011), 1849-1870
doi:10.1137/110828526
preprint arXiv:1103.4585v1
[math.AP]
- P. Colli, S. Frigeri & M. Grasselli,
Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system,
J. Math. Anal. Appl. 386 (2012), 428-444
doi:10.1016/j.jmaa.2011.08.008
preprint arXiv:1101.3906v2 [math.AP]
- P. Colli, P. Krejčí, E. Rocca & J. Sprekels,
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity,
J. Differential Equations 251 (2011), 1354-1387
doi:10.1016/j.jde.2011.02.010
preprint
arXiv:1011.4314v2 [math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
A temperature-dependent phase segregation problem of the Allen-Cahn type,
Adv. Math. Sci. Appl. 20 (2010), 219-234
preprint
arXiv:1005.0911v1 [math.AP]
- P. Colli & Ph. Laurençot,
A phase-field approximation of the Willmore flow with volume constraint,
Interfaces Free Bound. 13 (2011), 341-351
doi:10.4171/IFB/261
preprint
arXiv:1004.0341v1 [math.AP]
- P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels,
Existence and uniqueness of a global-in-time solution
to a phase segregation problem of the Allen-Cahn type,
Math. Models Methods Appl. Sci.
20 (2010), 519-541
doi:10.1142/S0218202510004325
preprint
arXiv:0902.4741v1 [math.AP] (with a slightly different title).
- E. Bonetti, P. Colli, M. Fabrizio & G. Gilardi,
Existence and boundedness of solutions for a
singular phase field system,
J. Differential Equations 246 (2009), 3260-3295
doi:10.1016/j.jde.2009.02.007
preprint arXiv:0804.1628v1 [math.AP]
- P. Colli, D. Hilhorst, F. Issard-Roch & G. Schimperna,
Long time convergence for a class of variational
phase field models,
Discrete Contin. Dyn. Syst.
25 (2009), 63-81
doi:10.3934/dcds.2009.25.63
preprint arXiv:0801.2658v1 [math.AP]
- P. Colli & A. Segatti,
Uniform attractors for a phase transition model coupling
momentum balance and phase dynamics,
Discrete Contin. Dyn. Syst. 22 (2008), 909-932
doi:10.3934/dcds.2008.22.909
- E. Bonetti, P. Colli, M. Fabrizio & G. Gilardi,
Modelling and long-time behaviour for phase transitions
with entropy balance and thermal memory conductivity,
Discrete Contin. Dyn. Syst. Ser. B 6 (2006), 1001-1026
doi:10.3934/dcdsb.2006.6.1001
- P. Colli, M. Frémond, E. Rocca & K. Shirakawa,
Attractors
for a three-dimensional thermo-mechanical model of shape memory alloys,
Chinese Ann. Math. Ser. B 27 (2006), 683-700
doi:10.1007/s11401-005-0288-4
- E. Bonetti, P. Colli, M. Fabrizio & G. Gilardi,
Global solution to a singular integrodifferential system related to the
entropy balance,
Nonlinear Anal. 66 (2007), 1949-1979
doi:10.1016/j.na.2006.02.035
- P. Colli, P. Krejčí, E. Rocca & J. Sprekels,
Nonlinear evolution inclusions arising from phase change models,
Czechoslovak Math. J. 57 (2007), 1067-1098
doi:10.1007/s10587-007-0114-0
- P. Colli & P.I. Plotnikov,
Global solution
to a quasistationary Penrose-Fife model,
Indiana Univ. Math. J. 54
(2005), 349-382
doi:10.1512/iumj.2005.54.2595