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Pierluigi Colli

Pierluigi Colli

D-Index & Metrics

Mathematics

D-Index
34
Citations
4485
World Ranking
2925
National Ranking
99

Overview

Pierluigi Colli is affiliated with the University of Pavia in Italy. Their research spans multiple scientific fields, primarily focusing on Materials Science, Mathematics, and Computer Science. These main fields further branch into specialized subfields such as Materials Chemistry, Computational Theory and Mathematics, Applied Mathematics, Modeling and Simulation, and Computational Mechanics.

The research topics covered by Colli include Solidification and crystal growth phenomena, Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Mathematical Biology Tumor Growth, Differential Equations and Numerical Methods, Mathematical and Theoretical Epidemiology and Ecology Models, and nanoparticle nucleation surface interactions.

Colli's recent published papers reflect active involvement in advanced mathematical and applied problems, particularly related to phase field models and tumor growth. Recent papers include:

  • On a transmission problem for equation and dynamic boundary condition of Cahn-Hilliard type with nonsmooth potentials (2020), published in Mathematische Nachrichten
  • Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis (2021), published in Virtual Community of Pathological Anatomy (University of Castilla La Mancha)
  • Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term (2022), published in Discrete and Continuous Dynamical Systems - S
  • Optimal Control Problems with Sparsity for Tumor Growth Models Involving Variational Inequalities (2022), published in Journal of Optimization Theory and Applications

Frequent publication venues where Colli's work appears include:

  • arXiv (Cornell University) with 38 publications
  • Applied Mathematics & Optimization with 7 publications
  • Discrete and Continuous Dynamical Systems - S with 5 publications
  • Journal of Evolution Equations with 3 publications
  • Nonlinearity with 2 publications

Colli collaborates regularly with a number of researchers including Jürgen Sprekels, Gianni Gilardi, Andrea Signori, Elisabetta Rocca, and Gabriela Marinoschi. These coauthors have contributed repeatedly to works spanning mathematical analysis and applied mathematics.

The body of Colli's research addresses complex mathematical models and numerical methods often linked to material science phenomena and biological growth processes. The recurring themes in this work involve nonlinear partial differential equations and optimal control theory applied to real-world problems such as tumor growth and phase transitions.

Best Publications

  • On A Class Of Doubly Nonlinear Evolution Equations

    P. Colli;A. Visintin

  • On some doubly nonlinear evolution equations in Banach spaces

    Pierluigi Colli

  • On a Cahn-Hilliard type phase field system related to tumor growth

    Pierluigi Colli;Gianni Gilardi;Danielle Hilhorst

  • Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system

    Pierluigi Colli;Sergio Frigeri;Maurizio Grasselli

  • On the Cahn–Hilliard equation with dynamic boundary conditions and a dominating boundary potential

    Pierluigi Colli;Gianni Gilardi;Jürgen Sprekels

  • Global solution to the Allen–Cahn equation with singular potentials and dynamic boundary conditions

    Luca Calatroni;Pierluigi Colli

  • Thermo-mechanical evolution of shape memory alloys

    Pierluigi Colli;Michel Frémond;Augusto Visintin

  • A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions

    Pierluigi Colli;Gianni Gilardi;Juergen Sprekels

  • A Boundary Control Problem for the Viscous Cahn---Hilliard Equation with Dynamic Boundary Conditions

    Pierluigi Colli;Gianni Gilardi;Jürgen Sprekels

  • Well-posedness of the weak formulation for the phase-field model with memory

    Pierluigi Colli;Gianni Gilardi;Maurizio Grasselli

  • Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials

    Pierluigi Colli;M. Hassan Farshbaf-Shaker;Gianni Gilardi;Jürgen Sprekels

  • Equation and dynamic boundary condition of Cahn–Hilliard type with singular potentials

    Pierluigi Colli;Takeshi Fukao

  • Cahn–Hilliard equation with dynamic boundary conditions and mass constraint on the boundary

    Pierluigi Colli;Takeshi Fukao

  • Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws

    Pierluigi Colli;Philippe Laurencçot

  • Optimal Control of an Allen--Cahn Equation with Singular Potentials and Dynamic Boundary Condition

    Pierluigi Colli;Jürgen Sprekels

  • Vanishing viscosities and error estimate for a Cahn–Hilliard type phase field system related to tumor growth

    Pierluigi Colli;Gianni Gilardi;Elisabetta Rocca;Juergen Sprekels

  • Optimal distributed control of a diffuse interface model of tumor growth

    Pierluigi Colli;Gianni Gilardi;Elisabetta Rocca;Jürgen Sprekels

  • On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type

    Pierluigi Colli;Jürgen Sprekels

  • A Deep Quench Approach to the Optimal Control of an Allen---Cahn Equation with Dynamic Boundary Conditions and Double Obstacles

    Pierluigi Colli;M. Hassan Farshbaf-Shaker;Jürgen Sprekels

  • Optimal distributed control of a diffuse interface model of tumor growth

    Pierluigi Colli;Gianni Gilardi;Elisabetta Rocca;Jürgen Sprekels

  • Optimal boundary control of a viscous Cahn--Hilliard system with dynamic boundary condition and double obstacle potentials

    Pierluigi Colli;Mohammad Hassan Farshbaf Shaker;Gianni Gilardi;Juergen Sprekels

Frequent Co-Authors

Elisabetta Rocca
Elisabetta Rocca University of Pavia
Maurizio Grasselli
Maurizio Grasselli Polytechnic University of Milan
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Giulio Schimperna
Giulio Schimperna University of Pavia
Viorel Barbu
Viorel Barbu Alexandru Ioan Cuza University
Augusto Visintin
Augusto Visintin University of Trento
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Giuseppe Savaré
Giuseppe Savaré Bocconi University

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