Pierluigi Colli
- 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
- 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)
- 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)
- 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
- 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
- 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
- Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition
2014/10/30 by Pierluigi Colli, Colli, Pierluigi, M. Hassan Farshbaf-Shaker +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
- 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
- Hyperbolic relaxation of a sixth-order Cahn-Hilliard equation
2025/04/04 by Pierluigi Colli, Gianni Gilardi, Colli, Pierluigi +1 · 2 citations
Mathematics · Computer Science · #Differential Equations and Numerical Methods #Differential Equations and Boundary Problems #Advanced Mathematical Modeling in Engineering
- On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
2025/02/04 by Giulia Cavalleri, Pierluigi Colli, Cavalleri, Giulia +5 · 2 citations
Mathematics · #35B65 #35D30 #35K57 #35K61 #35Q92 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth