Pierluigi Colli
Professor
Department of Mathematics 'F. Casorati'
University of Pavia
Italy
Biography
PIERLUIGI COLLI was Born at Vigevano (Italy) in September 1958. Currently Professor of Mathematical Analysis. His academical career started in 1983 with a researcher position; then he became associate professor in 1992 and full professor in 1994. The teaching experience includes courses in Calculus and Advanced Calculus for students of Mathematics, Physics, Science and Engineering, and courses in Nonlinear Partial Differential Equations for PhD students. Concerning the research activity, he is author or coauthor of more than 150 papers. The main research subject regards nonlinear evolution problems arising from differential models in Thermodynamics, Mechanics and Physics, Physiology. Basically interested in proving existence and uniqueness theorems; other issues are regularity, asymptotic behaviour of the solution with respect to time or to special parameters, stability and convergence as well as error estimates for time discretization or for other approximations, optimal control problems for systems of partial differential equations. Pierluigi Colli spent one year in Paris VI in 1985-86 and visited several foreign universities. He attended and contributed to a number of congresses and workshops, being involved in the organization for some of them. He serves in the editorial board of the journals "Mathematical Methods in the Applied Sciences" (since 1997) and "Advances in Mathematical Sciences and Applications" (since 2002).
Research Interest
Nonlinear Partial Differential Equations; Parabolic equations and evolution problems; Phase transition systems; Well-posedness, regularity, asymptotics, optimal control; Variational approach
Publications
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P. Colli, G. Gilardi R. Nakayashiki & K. Shirakawa, A class of quasi-linear Allen–Cahn type equations with dynamic boundary conditions, Nonlinear Anal. 158 (2017), 32-59 doi:10.1016/j.na.2017.03.020 preprint arXiv:1610.08687 [math.AP] (2016)
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P. Colli, G. Gilardi & J. Sprekels, Recent results on the Cahn–Hilliard equation with dynamic boundary conditions, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 10 (2017), 5-21 doi:10.14529/mmp170101
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P. Colli, G. Gilardi & J. Sprekels, Limiting problems for a nonstandard viscous Cahn–Hilliard system with dynamic boundary conditions, preprint arXiv:1702.00762 [math.AP] (2017) 1-22
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P. Colli & J. Sprekels, Optimal boundary control of a nonstandard Cahn–Hilliard system with dynamic boundary condition and double obstacle inclusions, preprint arXiv:1702.01907 [math.AP] (2017) 1-28
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P. Colli, G. Gilardi & J. Sprekels, On a Cahn–Hilliard system with convection and dynamic boundary conditions, preprint arXiv:1704.05337 [math.AP] (2017) 1-34
