CNRS researcher Institut Denis Poisson Universite d'Orleans Collegium Sciences et Techniques Batiment de mathematiques Rue de Chartres 45067 Orleans cedex 2 FRANCE gregoire (dot) nadin (at)
cnrs (dot) fr E-mail : Office : B12Phone : (+33) 2 38 41 70 41 |

short curriculum vitae

- Reaction-diffusion equations and propagation phenomenon in space-time heterogeneous media
- Principal eigenvalues of elliptic and parabolic operators
- Coupled and non-local reaction-diffusion equations
- Mathematical models in biology and ecology

- Gaussian estimates for general parabolic operators in dimension (arXiv.org)
- (with L. Almeida, A. Leculier, and Y. Privat). Optimal control
of bistable travelling waves: looking for the best spatial
distribution of a killing action to block a pest invasion (Hal).

- (with I. Mazari) Optimality conditions for the linear optimal control of non-linear equations via a Laplace type method and two-scales like expansions (arXiv.org)

- (with E. Bouin, V. Calvez, and E. Grenier) Large deviations for velocity-jump processes and non-local Hamilton-Jacobi equations arXiv.org.

- Optimization of the L1 norm of the solution of a Fisher-KPP
equations in the small diffusivity regime,
*to appear in Proc. Am. Math. Soc.*(arXiv.org) - (Jeulin et al) Anti-spike IgG antibody kinetics following the
second and third doses of BNT162b2 vaccine in nursing home
residents.
*Journal of American geriatrics society*, , 70(9):2552-2560, 2022 (medrXiv). - (with H. Berestycki) Asymptotic spreading for general
heterogeneous equations,
*Memoirs of the American Mathematical Society*, American Mathematical Society, 280(1381), 2022 (hal). - (with I. Mazari, and Y. Privat) Optimisation of the total
population size for logistic diffusive equations: bang-bang
property and fragmentation rate
*. Com. PDE*, pages 797-828,

47, 2022 (hal). - (with I. Mazari, and Y. Privat) Shape optimization of a
weighted two-phase Dirichlet eigenvalue.
*Archive for Rational Mechanics and Analysis*, Vol243, pages 95-137, 2022 (hal) - (with F.
Hamel) Diameters of the level sets for reaction-diffusion
equations in nonperiodic slowly varying media,
*Proc. Amer. Math. Soc.*,

- (with E. Ogier-Denis, A. I. Toledo Marrero, H. Zaag) A Turing
mechanism in order to explain the patchy nature of Crohn's
disease.

- (with I. Mazari, and A. I. Toledo Marrero) Optimisation of the
total population size with respect to the initial condition for
semilinear parabolic equations: Two-scale expansions and
symmetrisations.
*Nonlinearity*, 34-11 (2021), 7510-7539. ( - (with L. Almeida, P.-A. Bliman, B. Perthame, and N. Vauchelet)
*Math. Models and Meth. in Appl. Sci*., 2021. (hal)
Final size and convergence rate for an
epidemic in heterogeneous population, - (with A. I. Toledo Marrero) On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data,
- (with I. Mazari, and Y. Privat) Optimal location of resources
maximizing the total population size in logistic models,
*Journal de Mathematiques Pures et Appliquees*, Elsevier, February 2020, Pages 1-35 (hal). - (with C. Carrere) Influence of mutations in
phenotypically-structured populations in time periodic
environment,
*Discrete & Continuous Dynamical Systems - B*, 2020, 25(9): 3609-3630. ⟨hal-02273079⟩ - (with M. Strugarek and N. Vauchelet) Hindrances to bistable
front propagation: application to Wolbachia invasion,
*J. Math. Biol.***76(6)**, pp 1489-1533, arXiv.org. - (with L. Girardin) Competition in periodic media: II --
Segregative limit of pulsating fronts and "Unity is not
Strength"-type result,
*Journal of Differential equations***265(01)**(2018) pp 98-156, arXiv.org. - (with L. Rossi) Transition waves for Fisher-KPP equations with
general time-heterogeneous and space-periodic coefficients,
*Analysis & PDE***8(6)**(2015), pp 1351--1377, preprint. - (with L. Rossi) Generalized transition fronts for
one-dimensional almost periodic Fisher-KPP equations,
*Arch. Rat. Mec. Anal.***223(3)**(2017), pp 1239-1267, arXiv.org. - (with J. Lamboley, A. Laurain, and Y. Privat) Properties of
optimizers of the principal eigenvalue with indefinite weight
and Robin conditions.
*Calc. Var. Partial Differential Equations***55**(2016), no. 6. arXiv.org. -
(with Y. Privat) An extremal eigenvalue problem arising in heat conduction,
*J. Math. Pures Appl.*(9)**105**(2016), no. 6, pp 845--872, preprint. - How does the spreading speed associated with the Fisher-KPP
equation depend on random stationary diffusion and reaction
terms? Discrete
Contin. Dyn. Syst. Ser. B,
**20**(2015), no. 6, 1785-1803. (PDF) - (with L. Girardin)
Travelling waves for diffusive and strongly competitve
systems: relative motility and invasion speed. Accepted for
publication in Eur. J. Appl. Math. (arXiv).

- (with J. Bouhours) A
variational approach to reaction diffusion equations with forced
speed in dimension 1. Discrete Contin. Dyn.
Syst. A
**35**(2015), no. 5, 1843-1872 arXiv.org - (with E. Bouin and V. Calvez) Front propagation in a kinetic
reaction-transport equation,
*Archives of rational mechanics and analysis*, Springer-Verlag,**217(2)**, 2015, pp.571-617 (hal). - (with G. Mark and Y. Privat) What is the optimal shape of a
fin for stationary heat conduction? SIAM J. Applied Math
**74**(2014), no. 4, 1194--1218 (hal).

- Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations, to appear in Annales IHP (PDF)
- (with A. Ducrot) Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation, Journal of differential equations 256(9) (2014) pp 3115-3140(PDF).
- (with M. Cristofol, I. Kaddouri and L. Roques). Coefficient
determination via asymptotic spreading speeds, Inverse problems 30 (2014) (Hal)

- (with E. Bouin and V. Calvez) Hyperbolic traveling waves driven by growth, accepted for publication in M3AS, arXiv.org
- (with C. Hauzy, E. Canard, I. Gounand, N. Mouquet, B. Ebenman) Confronting the paradox of pnrichment to the metacommunity perspective, PLOS One, 8(12) (2013) (link)
- (with L. Rossi, L. Ryzhik and B. Perthame) Wave-like solutions for nonlocal reaction-diffusion equations: a toy model, Mathematical Modelling of Natural Phenomena, 08 (2013), pp 33-41 (PDF)
- (with H. Berestycki) Spreading
speeds
for one-dimensional monostable reaction-diffusion
equations, J. Math. Phys.
**53(11)**(2012) (PDF) - (with J. Garnier and T. Giletti) Maximal and minimal spreading speeds for reaction-diffusion equations in nonperiodic slowly varying media, J. Dynam. Differential Equations 24(3) (2012), pp 521-538. arXiv.org.
- (with L. Rossi) Propagation phenomena for time heterogeneous KPP reaction-diffusion equations, J. Math. Pures Appl. 98(6) (2012), pp 633-653 arXiv.org.
- (with F. Hamel, L. Roques) A viscosity
solution method for the spreading speed formula in
slowly varying media,
*Indiana Univ. Math. J.*60 (2011), pp 1229-124 (PDF). - (with F. Hamel) Spreading properties for
the Fisher-KPP equation with oscillating initial data,
*Comm. Part. Diff. Equations*37 (2012), pp 511-537 (preprint on Hal). - Some dependence results between the
spreading speed and the coefficients of the space-time
periodic Fisher-KPP equation,
*Eur. J. Appl. Math.*22 (2011) pp 169-185, (arXiv.org) - Existence and uniqueness
of the solutions of a space-time periodic
reaction-diffusion equation,
*J. Diff. Eq.*249(6) (2010), pp - The effect of the Schwarz rearrangement on
the periodic principal eigenvalue of a nonsymmetric
operator,
*SIAM J. Math. Anal.*4 (2010), pp. 2388-2406 (arXiv.org) - (with H. Berestycki, B.
Perthame, L. Ryzhik) The non-local Fisher-KPP
equation: traveling waves and steady states
(2009),
*Nonlinearity*22 (2009), pp 2813-2844 (PDF) - Traveling fronts in space-time periodic
media,
*J. Math. Pures Appl*. 92 (2009), pp 232-262 (arXiv.org) - The principal eigenvalue
of a space-time periodic parabolic operator,
*Ann. Mat. Pura Appl.*188(4) (2009), pp 269-295 (PDF). - (with
H. Berestycki, F. Hamel) Asymptotic spreading in
heterogeneous diffusive excitable media,
*Journal of Functional Analysis*255 (2008), pp 2146-2189 (link) - (with B. Perthame, L.
Ryzhik) Traveling waves for the Keller-Segel system
with Fisher birth terms,
*Interface free bound.*10 (2008), pp 517-538 (PDF)

- (with I. Mazari, and Y. Privat) Optimal control of resources
for species survival
*, 89th GAMM Annual Meeting*, Mar 2018, munich, Germany (hal) - (with B. Perthame
and M. Tang) Can a traveling wave connect two unstable
states? The case of the nonlocal Fisher equation,
*C.R. Acad. Sci.**Paris I***349**(2010), pp 553-557 arXiv.org - Pulsating
traveling fronts in space-time periodic media,
*C.R. Acad. Sci.**Paris I***346**(2008), pp 951-956 (PDF) - Reaction-diffusion
equations in space-time periodic media,
*C.R. Acad. Sci.**Paris I***345**(2007), pp 489-493 (PDF)

- (with I. Mazari, and Y. Privat) Some challenging optimisation
problems for logistic diffusive equations and numerical issues.
*Handbook of Numerical Analysis, Volume 23, 2022*(hal) - Modelling of Neolithic populations,
*in Interactions in complex dynamical systems*, 2017.

Manuscript : french, english.

Last update: November 6th, 2023.