# Andrea Signori, PhD, AvH Fellow

Department of Mathematics
•
Politecnico di Milano
•
Via E. Bonardi 9, 20133 Milano, Italy
•
andrea.signori@polimi.it

- P. Colli, G. Gilardi, A. Signori and J. Sprekels,
On a Cahn–Hilliard system with source term and thermal memory.

Preprint arXiv:2207.08491 [math.AP], (2022), 1-28. WIAS Preprint. - H. Garcke, K. F. Lam, R. Nürnberg and A. Signori,
Phase field topology optimisation for 4D printing.

Preprint arXiv:2207.03706 [math.OC], (2022), 1-41. - P. Colli, G. Gilardi, A. Signori and J. Sprekels,
Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential.

Preprint arXiv:2207.00375 [math.OC], (2022), 1-23. WIAS Preprint. - P. Colli, G. Gilardi, A. Signori and J. Sprekels,
Cahn–Hilliard–Brinkman model for tumor growth with possibly singular potentials.

Preprint arXiv:2204.13526 [math.AP], (2022), 1-31. WIAS Preprint. - M. Grasselli, L. Scarpa and A. Signori,
On a phase field model for RNA-Protein dynamics.

Preprint arXiv:2203.03258 [math.AP], (2022), 1-54. - E. Rocca, G. Schimperna and A. Signori,
On a Cahn–Hilliard–Keller–Segel model with generalized logistic source describing tumor growth.

Preprint arXiv:2202.11007 [math.AP], (2022), 1-38. - H. Garcke, K. F. Lam, R. Nürnberg and A. Signori,
Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies.

Preprint arXiv:2111.14070 [math.OC], (2021), 1-41.

- P. Colli, A. Signori and J. Sprekels, Analysis and optimal control theory for a phase field model of Caginalp type with thermal memory.

*Commun. Optim. Theory*,**4**(2022).

doi.org/10.23952/cot.2022.4. Preprint arXiv:2107.09565 [math.OC]. WIAS Preprint. - P. Colli, A. Signori and J. Sprekels, Optimal control problems with sparsity for phase field tumor growth models involving variational inequalities.
*J. Optim. Theory Appl.*, (2022).

doi.org/10.1007/s10957-022-02000-7. Preprint arXiv:2104.09814 [math.OC]. WIAS Preprint. - E. Rocca, L. Scarpa and A. Signori, Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis.
*Math. Models Methods Appl. Sci.*,**31(13)**(2021), 2643-2694.

doi.org/10.1142/S0218202521500585. Preprint arXiv:2009.11159 [math.AP]. - P. Knopf and A. Signori, Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms.
*Comm. Partial Differential Equations*,**47(2)**(2022), 233-278.

doi.org/10.1080/03605302.2021.1966803. Preprint arXiv:2105.09068 [math.AP]. - P. Colli, A. Signori and J. Sprekels, Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis.
*ESAIM Control Optim. Calc. Var.*,**27**(2021).

doi.org/10.1051/cocv/2021072. Preprint arXiv:2009.07574 [math.AP]. WIAS Preprint. - L. Scarpa and A. Signori, On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport.
*Nonlinearity*,**34**(2021), 3199-3250.

doi.org/10.1088/1361-6544/abe75d. Preprint arXiv:2002.12702 [math.AP]. - H. Garcke, K. F. Lam and A. Signori, Sparse optimal control of a phase field tumour model with mechanical effects.

*SIAM J. Control Optim.*,**59(2)**(2021), 1555-1580.

doi.org/10.1137/20M1372093. Preprint arXiv:2010.03767 [math.OC]. - S. Frigeri, K. F. Lam and A. Signori, Strong well-posedness and inverse identification problem of a non-local phase field tumor model with degenerate mobilities.
*European J. Appl. Math.*,**33(2)**(2022), 267-308.

doi:10.1017/S0956792521000012. Preprint arXiv:2004.04537 [math.AP]. - P. Knopf and A. Signori, On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization.

*J. Differential Equations*,**280(4)**(2021), 236-291.

doi.org/10.1016/j.jde.2021.01.012. Preprint arXiv:2004.00093 [math.AP]. - H. Garcke, K. F. Lam and A. Signori, On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects.

*Nonlinear Anal. Real World Appl.*,**57**(2021), 103192.

doi.org/10.1016/j.nonrwa.2020.103192. Preprint arXiv:1912.01945 [math.AP]. -
P. Colli, A. Signori and J. Sprekels, Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials.

*Appl. Math. Optim.*,**83**(2021), 2017-2049.

doi.org/10.1007/s00245-019-09618-6 (see also the Erratum). Preprint arXiv:1907.03566 [math.AP]. WIAS Preprint. -
P. Colli and A. Signori, Boundary control problem and optimality conditions for the Cahn–Hilliard equation with dynamic boundary conditions.

*Internat. J. Control,***94**(2021), 1852-1869.

doi.org/10.1080/00207179.2019.1680870. Preprint arXiv:1905.00203 [math.AP]. -
A. Signori, Penalisation of long treatment time and optimal control of a tumour growth model of Cahn–Hilliard type with singular potential.

*Discrete Contin. Dyn. Syst. Ser. A*,**41(6)**(2021), 2519-2542.

doi.org/10.3934/dcds.2020373. Preprint arXiv:1906.03460 [math.AP]. -
A. Signori, Vanishing parameter for an optimal control problem modeling tumor growth.

*Asymptot. Anal.*,**117**(2020), 43-66.

doi.org/10.3233/ASY-191546. Preprint arXiv:1903.04930 [math.AP]. -
A. Signori, Optimal treatment for a phase field system of Cahn–Hilliard type modeling tumor growth by asymptotic scheme.

*Math. Control Relat. Fields*,**10**(2020), 305-331.

doi:10.3934/mcrf.2019040. Preprint arXiv:1902.01079 [math.AP]. -
A. Signori, Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach.

*Evol. Equ. Control Theory*,**9(1)**(2020), 193-217.

doi:10.3934/eect.2020003. Preprint arXiv:1811.08626 [math.AP]. -
A. Signori, Optimal distributed control of an extended model of tumor growth with logarithmic potential.

*Appl. Math. Optim.*,**82**(2020), 517-549.

doi.org/10.1007/s00245-018-9538-1. Preprint arXiv:1809.06834 [math.AP]. -
**PhD Thesis**: A. Signori,*Understanding the Evolution of Tumours, a Phase-field Approach: Analytic Results and Optimal Control*, 2020.

(Doctoral advisor: Prof. Pierluigi Colli, Università di Pavia).

July 2022 - Today

March 2021 - July 2022

Title of the Thesis: *Understanding the Evolution of Tumours, a Phase-field Approach: Analytic Results and Optimal Control*
(supervisor: Prof. Pierluigi Colli).

During my third year of PhD (15/09/19-15/12/19) I had the privilege to be a guest for three months of

Prof. Dr. Harald Garcke at the University of Regensburg.

During my third year of PhD (15/09/19-15/12/19) I had the privilege to be a guest for three months of

Prof. Dr. Harald Garcke at the University of Regensburg.

October 2017 - December 2020

Title of the thesis: *Boundary control problem and optimality conditions for the Cahn-Hilliard equation with dynamic boundary conditions* (supervisor: Prof. Pierluigi Colli), 110/110 cum Laude.

September 2015 - September 2017

Title of the thesis: *The Legendre-Fenchel transform* (supervisor: Prof. Enrico Vitali).

September 2012 - September 2015

**Adjunct Professor**: *Mathematics with elements of Statistic*, degree course in Pharmacy (University of Pavia)

A.Y. 2022 - 2023

Exercise lectures: *Mathematical and Numerical Methods in Engineering*, Master Degree Program in Biomedical Engineering

A.Y. 2022 - 2023

**Adjunct Professor**: *Mathematics with elements of Statistic*, degree course in Pharmacy

A.Y. 2021 - 2022

Exercise lectures: *Calculus 2*, **4** hours, degree course in Engineering

A.Y. 2020 - 2021

Exercise lectures: *Elements of Mathematics and statistic*, **12** hours, degree course in Science, technology and environment

A.Y. 2020 - 2021

Seminar lectures: *Precorsi*, **20** hours, degree course in Engineering

A.Y. 2019 - 2020

Exercise lectures: *Advanced Calculus and Statistic*, **7** hours, degree course in Engineering

A.Y. 2018 - 2019

Project: *Lauree PLS, Il gioco e il Caso*, **30** hours

A.Y. 2018 - 2019

Exercise lectures: *Calculus 2*, **10** hours, degree course in Physics

A.Y. 2018 - 2019

Exercise lectures: *Calculus 1*, **10** hours, degree course in Engineering

A.Y. 2018 - 2019

Exercise lectures: *Elements of Mathematics and statistic*, **14** hours, degree course in Science, technology and environment

A.Y. 2018 - 2019

Exercise lectures: *Mathematics and statistic*, **6** hours, degree course in Biotechnology

A.Y. 2018 - 2019

Exercise lectures: *Mathematics*, **20** hours, degree course in Biotechnology

A.Y. 2017 - 2018

Exercise lectures: *Mathematics*, **15** hours, degree course in Biotechnology

A.Y. 2017 - 2018

Exercise lectures: *Calculus 2*, **28** hours, degree course in Engineering

A.Y. 2016 - 2017

Exercise lectures: *Mathematics*, **20** hours, degree course in Biotechnology

A.Y. 2015 - 2016

- 23/06/2022
*Lake Como School of Advanced Studies - Mathematical models for bio-medical sciences*: "Phase segregation in Cell Biology: RNA-Protein model", Como. - 24/05/2022
*INdAM Workshop PHAME2022 - PHAse field MEthods in applied sciences*: "Cell’s organisation: RNA-Protein dynamics", Rome. - 30/09/2021
*DMV-ÖMG Annual Conference 2021*: "Mechanical model for tumour growth: mathematical analysis and optimal therapies", Universität Passau (Online). - 13/04/2021
*Seminari di Matematica Applicata*: "Mechanical model for tumour growth: mathematical analysis and optimal therapies", University of Pavia. - 25/11/2020
*Se mi narri di Matematica*: "Mathematical Perspectives on Tumour Growth: From Well-posedness to Optimal Control", University of Pavia. - 06/02/2020
*Insalate di matematica*: "Mathematical modeling of cancer: challenges and perspectives towards a tailored therapy", University of Milano-Bicocca. - 28/11/2019
*IntComSin Seminar*: "On a phase field model of Cahn-Hilliard type for tumor model with elasticity", Regensburg University. - 19/11/2019
*IntComSin Seminar*: "Optimal control theory for parabolic equations: introduction and applications", Regensburg University. - 02/10/2019
*Annual Meeting GRK IntComSin: Interfaces, Complex Structures, and Singular Limits*: "Optimal control problems with applications to tumor growth models", Weltenburg Abbey, Kelheim, Germany.

- Prof. Pierluigi Colli (University of Pavia);
- Dr. Sergio Frigeri (Università degli Studi di Milano);
- Prof. Gianni Gilardi (University of Pavia);
- Prof. Dr. Harald Garcke (University of Regensburg);
- Prof. Maurizio Grasselli (Politecnico di Milano);
- Dr. Andrew Kei Fong Lam (Hong Kong Baptist University);
- Dr. Patrik Knopf (University of Regensburg);
- Prof. Dr. Robert Nürnberg (University of Trento);
- Prof. Elisabetta Rocca (University of Pavia);
- Dr. Luca Scarpa (Politecnico di Milano);
- Prof. Giulio Schimperna (University of Pavia);
- Prof. Dr. Jürgen Sprekels (Weierstrass Institute for Applied Analysis and Stochastics);

My Erdős number is

or