Preprints and submitted articles

Accepted and published articles

• 24-The tragedy of the commons: A Mean-Field Game approach to the reversal of travelling waves , with Z. Kobeissi and D. Ruiz-Balet
  Nonlinearity, 37, (11) (2024):115010 Journal link
  DOI:110.1088/1361-6544/ad7b97

• 23- Is the Faber-Krahn inequality true for the Stokes operator? , with A. Henrot and Y. Privat.
  Calculus of Variations and PDEs, 63, 228 (2024) Journal link
  DOI:10.1007/s00526-024-02820-7

• 22- Generalized principal eigenvalues of space-time periodic, weakly coupled, cooperative, parabolic systems, with L. Girardin.
  Accepted for publication in Mémoires de la Société Mathématique de France , 2024. Arxiv preprint

• 21-Maximising the biomass with respect to the carrying capacity: some qualitative results,
  Journal of Differential Equations, 395 (2024):238-277 Journal link
  DOI:10.1016/j.jde.2024.02.007

• 20-Existence of optimal shapes in parabolic bilinear optimal control problems ,
  Archive for Rational Mechanics and Analysis, 248(2), 2024 Journal link
  DOI:10.1007/s00205-024-01958-0

• 19- Analysis of a combined filtered/phase-field approach to topology optimization in elasticity , with F. Auricchio, M. Marino, U. Stefanelli.
  Applied Mathematics and Optimization, 89(2), 2024 Journal link
  DOI:10.1007/s00245-024-10104-x

• 18-The topological state derivative: an optimal control perspective on topology optimisation, with P. Baumann and K. Sturm.
  Journal of Geometric Analysis, Special Issue: Differential Geometric PDE Control, Shape Optimization and Applications, 33, 243 (2023). Journal link Arxiv link
  DOI:10.1007/s12220-023-01295-w

• 17- The bang-bang property in some parabolic bilinear optimal control problems via two-scale asymptotic expansions .
  Journal of Functional Analysis, 284, 10, (2023) . Journal link Arxiv link Hal Link
  DOI:10.1016/j.jfa.2023.109855

• 16-Qualitative analysis of optimisation problems with respect to non-constant Robin coefficients, with Y. Privat.
  Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, accepted for publication, 2022. Arxiv link Hal Link

• 15- Spectral optimization of inhomogeneous plate, with E. Davoli and U. Stefanelli.
  SIAM Journal on Control and Optimization 61, 2, (2023). Journal link Arxiv link
  DOI:10.1137/21M1435203

• 14- Spatial ecology, optimal control and game theoretical fishing problems (2022) , with D. Ruiz-Balet.
  Journal of Mathematical Biology , 85(5), 2022. Hal Link Arxiv link Journal link
  
  DOI:10.1007/s00285-022-01829-w

• 13-Quantitative stability for eigenvalues of Schrodinger operator, Quantitative bathtub principle & Application to the turnpike property for a bilinear optimal control problem , With D. Ruiz-Balet.
  SIAM Journal on Mathematical Analysis, 54(3):3848–3883, 2022. Hal link Arxiv link Journal link
  DOI:10.1137/21M1393121

• 12- A note on the rearrangement of functions in time and on the parabolic Talenti inequality.
  Annali dell'Universita di Ferrara, 2022. Hal link ArXiv link Journal link
  DOI: 10.1007/s11565-022-00392-y

• 11-Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models, with D. Ruiz-Balet and E. Zuazua,
  Annales de l'Institut Henri Poincaré, Analyse non-linéaire, 2022. Hal link Arxiv link Journal link
  DOI:10.4171/aihpc/52

• 10-Some comparison results and a partial bang-bang property for two-phases problems in balls.
  Mathematics in Engineering, Special Issue Calculus of Variations and Nonlinear Analysis: Advances and Applications, 2022. Journal link
  DOI:10.3934/mine.2023010

• 9- Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate, with G. Nadin and Y. Privat.
  Communications in Partial Differential Equations, 2021. Hal link Arxiv link Journal link
  DOI:10.1080/03605302.2021.2007533
  
• 8-Shape optimization of a weighted two-phase Dirichlet eigenvalue , With G. Nadin and Y. Privat.
  Archive for Rational Mechanics and Analysis volume 243, pages 95–137 , 2022. Hal link Arxiv link Journal Link
  DOI:10.1007/s00205-021-01726-4
• 7-Quantitative estimates for parabolic optimal control problems under $L^infty$ and $L^1$ constraints.
  Nonlinear Analysis, 215 (2022). Arxiv link Journal link
  DOI:10.1016/j.na.2021.112649
• 6-Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: Two-scale expansions and symmetrisations. with G. Nadin and A. I. Toledo Marrero.
  Nonlinearity, 34-11 (2021), 7510-7539. Arxiv link Journal link
  DOI:10.1088/1361-6544/ac23b9
• 5-A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models. With D. Ruiz-Balet
  SIAM Journal on Applied Mathematics, 81-1 (2021), pp. 153-172. Hal link Arxiv link Journal link .
  DOI:10.1137/20M132818X
• 4- Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. With A. Henrot and Y. Privat.
  ESAIM: Control, Optimisation and Calculus of Variations, 27 (2021) S6. Hal link Journal link
  DOI: 10.1051/cocv/2020052
• 3- Quantitative inequality for the eigenvalue of a Schrodinger operator in the ball.
  
  Journal of Differential Equations, Vol. 269 (2020), pp 10181-10238. Hal link Arxiv link Journal link .
  DOI: 10.1016/j.jde.2020.06.057
• 2-Optimal location of resources maximizing the total population size in logistic models. With G. Nadin and Y. Privat,
  Journal de Mathématiques Pures et Appliquées , 134, (2020), pp. 1-35. Hal link Journal link.
  DOI:10.1016/j.matpur.2019.10.008.
• 1-Trait selection and rare mutations: the case of large diffusivities ,
  
  Discrete & Continuous Dynamical Systems - B, 2019, 24(12): pp. 6693-6724. Hal Preprint, Journal link.
  DOI:10.3934/dcdsb.2019163