Colli, Pierluigi

1. Optimal velocity control of a viscous Cahn-Hilliard system with\n convection and dynamic boundary conditions
   2017/09/07 by Pierluigi Colli, Gianni Gilardi, Colli, Pierluigi +3 · 3 citations
   Computer Science · Materials Science · Mathematics · #35K25 #35K61 #49J20 #49K20 #76R05 #80A22 #82C26 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Solidification and crystal growth phenomena
2. Mathematical analysis and simulation study of a phase-field model of\n prostate cancer growth with chemotherapy and antiangiogenic therapy effects
   2019/07/26 by Pierluigi Colli, Héctor Gómez, Colli, Pierluigi +9 · 5 citations
   Biochemistry, Genetics and Molecular Biology · Materials Science · Mathematics · #35K51 #35K58 #35Q92 #65M60 #92C50 #Analysis of PDEs (math.AP) #Computational Engineering #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #Finance #Mathematical Biology Tumor Growth #Solidification and crystal growth phenomena #Tissues and Organs (q-bio.TO) #and Science (cs.CE)
3. Global Existence of Weak Solutions to a Nonlocal Cahn-Hilliard-Navier-Stokes System
   2011/01/20 by Colli, Pierluigi, Frigeri, Sergio, Grasselli, Maurizio · 2 citations
   #35Q30 #45K05 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Optimal control of cytotoxic and antiangiogenic therapies on prostate\n cancer growth
   2020/07/09 by Pierluigi Colli, Colli, Pierluigi, Héctor Gómez +9 · 4 citations
   Mathematics · Medicine · #35K51 #35K58 #35Q92 #35Q93 #49J20 #49K20 #65M60 #92C50 #Computational Engineering #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #Finance #Mathematical Biology Tumor Growth #Optimization and Control (math.OC) #Prostate Cancer Treatment and Research #Renal cell carcinoma treatment #Tissues and Organs (q-bio.TO) #and Science (cs.CE)
5. Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth
   2015/03/03 by Colli, Pierluigi, Gilardi, Gianni, Rocca, Elisabetta +1 · 3 citations
   #35B20 #35K35 #35K57 #35Q92 #35R35 #65N15 #78M35 #92C17 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. On a Cahn-Hilliard type phase field system related to tumor growth
   2014/01/23 by Colli, Pierluigi, Gilardi, Gianni, Hilhorst, Danielle · 2 citations
   #35B20 #35K20 #35K35 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. A phase-field approximation of the Willmore flow with volume constraint
   2010/04/02 by Colli, Pierluigi, Laurençot, Philippe · 2 citations
   #35K35 #35K55 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
   2023/12/23 by Colli, Pierluigi, Knopf, Patrik, Schimperna, Giulio +1 · 4 citations
   #35B65 #35D30 #35K35 #35K86 #76D03 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
9. Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
   2015/02/18 by Pierluigi Colli, Colli, Pierluigi, T. Fukao +1 · 2 citations
   Computer Science · Materials Science · Mathematics · #35D30 #35D35 #35K25 #35K61 #80A22 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena
10. Feedback stabilization of the Cahn-Hilliard type system for phase separation
    2016/06/29 by Barbu, Viorel, Colli, Pierluigi, Gilardi, Gianni +1 · 1 citation
    #35K52 #35Q79 #35Q93 #93C20 #93D15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
11. On a Cahn-Hilliard system with convection and dynamic boundary conditions
    2017/04/18 by Colli, Pierluigi, Gilardi, Gianni, Sprekels, Jürgen · 1 citation
    #35K25 #35K61 #76R05 #80A22 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
    2016/10/27 by Colli, Pierluigi, Gilardi, Gianni, Nakayashiki, Ryota +1 · 1 citation
    #35K55 #35K59 #82C26 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach
    2017/09/11 by Pierluigi Colli, Gianni Gilardi, Colli, Pierluigi +2 · 1 citation
    Computer Science · Materials Science · #35K86 #49J20 #49K20 #74M15 #76R05 #80A22 #82C26 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Block Copolymer Self-Assembly #FOS: Mathematics #Optimization and Control (math.OC) #Solidification and crystal growth phenomena
14. Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term
    2023/03/01 by Colli, Pierluigi, Gilardi, Gianni, Signori, Andrea +1 · 2 citations
    #35K51 #35K55 #49J20 #49J50 #49K20 #FOS: Mathematics #Optimization and Control (math.OC)
15. Stabilization of a linearized Cahn-Hilliard system for phase separation by proportional boundary feedbacks
    2018/11/30 by Colli, Pierluigi, Gilardi, Gianni, Munteanu, Ionut · 1 citation
    #35K52 #35Q79 #35Q93 #93C20 #93D15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
16. Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion
    2023/08/16 by Colli, Pierluigi, Gilardi, Gianni, Marinoschi, Gabriela · 1 citation
    #35K55 #35K57 #35Q92 #46N60 #49J20 #49J50 #49K20 #92D30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
17. Nonlocal to local convergence of phase field systems with inertial term
    2024/02/19 by Colli, Pierluigi, Kurima, Shunsuke, Scarpa, Luca · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
18. Optimality conditions for sparse optimal control of viscous Cahn-Hilliard systems with logarithmic potential
    2024/02/28 by Colli, Pierluigi, Sprekels, Jürgen, Tröltzsch, Fredi · 1 citation
    #35K51 #49K20 #49N90 #93C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
19. On a Cahn-Hilliard system with source term and thermal memory
    2022/07/18 by Pierluigi Colli, Colli, Pierluigi, Gianni Gilardi +5 · 1 citation
    Computer Science · Engineering · Materials Science · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Thin Films #Solidification and crystal growth phenomena
20. Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition
    2014/10/30 by Pierluigi Colli, M. Hassan Farshbaf-Shaker, Colli, Pierluigi +6 · 1 citation
    Computer Science · Materials Science · Mathematics · #35K50 #35K55 (Primary) #82C26 (Secondary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Solidification and crystal growth phenomena
21. Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth
    2015/01/28 by Colli, Pierluigi, Gilardi, Gianni, Rocca, Elisabetta +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Well-posedness and regularity for a fractional tumor growth model
    2019/06/26 by Pierluigi Colli, Gianni Gilardi, Colli, Pierluigi +3 · 1 citation
    Materials Science · Computer Science · Earth and Planetary Sciences · #Solidification and crystal growth phenomena #Advanced Mathematical Modeling in Engineering #nanoparticles nucleation surface interactions
23. A distributed control problem for a fractional tumor growth model
    2019/07/24 by Colli, Pierluigi, Gilardi, Gianni, Sprekels, Jürgen · 1 citation
    #35K55 #35Q92 #49J20 #92C50 #FOS: Biological sciences #FOS: Mathematics #Optimization and Control (math.OC) #Tissues and Organs (q-bio.TO)
24. Hyperbolic relaxation of a sixth-order Cahn-Hilliard equation
    2025/04/04 by Pierluigi Colli, Colli, Pierluigi, Gianni Gilardi +1 · 2 citations
    Mathematics · Computer Science · #Differential Equations and Numerical Methods #Differential Equations and Boundary Problems #Advanced Mathematical Modeling in Engineering
25. On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
    2025/02/04 by Giulia Cavalleri, Cavalleri, Giulia, Pierluigi Colli +5 · 2 citations
    Mathematics · #35B65 #35D30 #35K57 #35K61 #35Q92 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth
26. Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation
    2024/01/10 by Colli, Pierluigi, Gilardi, Gianni, Signori, Andrea +1 · 2 citations
    #35K51 #35K55 #49J20 #49J50 #49K20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)