CNRS researcher Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie (Paris 6) 75005 Paris France nadin (at) ann (dot) jussieu
(dot) fr E-mail : Office : 304,
line 16-26Phone : (+33) 1 44 27 71 69 Fax : (+33) 1 44 27 72 00 |

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

- (with M. Strugarek and N. Vauchelet) Hindrances to bistable
front propagation: application to Wolbachia invasion arXiv.org.

- (with E. Bouin, V. Calvez, and E. Grenier) Large deviations for velocity-jump processes and non-local Hamilton-Jacobi equations arXiv.org.
- (with H. Berestycki) Asymptotic spreading for general
heterogeneous equations (preprint)

- (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, to appear in ARMA (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 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)

Preliminary manuscript : french, english.

Last update: June 28th 2018.