Pierluigi Colli, publications

COMPLETE LIST OF PUBLICATIONS

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LATEST PAPERS

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. Krejcí, E. Rocca & J. Sprekels, Nonlinear evolution inclusions arising from phase change models, Czechoslovak Math. J. 57(132) (2007), 1067-1098 doi:10.1007/s10587-007-0114-0
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.
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]
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, 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).
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, 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, P. Krejcí, 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, 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, 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, G. Gilardi, P. Podio-Guidugli & J. Sprekels, Distributed optimal control of a nonstandard system of phase field equations, preprint arXiv:1106.3668v1 [math.AP] (2011) 1-32, to appear on Continuum Mechanics and Thermodynamics.
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]
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]
P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels, An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity, preprint arXiv:1109.3303v1 [math.AP] (2011) 1-18, to appear on Discrete and Continuous Dynamical Systems. Series S.
P. Colli, G. Gilardi & J. Sprekels, Analysis and optimal boundary control of a nonstandard system of phase field equations, preprint arXiv:1201.5541v2 [math.AP] (2012) 1-31, to appear on Milan Journal of Mathematics.
P. Colli, G. Gilardi, P. Podio-Guidugli & J. Sprekels, Global existence for a strongly coupled Cahn-Hilliard system with viscosity, preprint arXiv:1202.5210v1 [math.AP] (2012) 1-16, to appear on Bollettino dell'Unione Matematica Italiana .
P. Colli& Ph. Laurençot, A phase-field approximation of the Willmore flow with volume and area constraints, preprint arXiv:1204.4274v1 [math.AP] (2012) 1-23.

Last updated on April 27, 2012 — Back to Home Page