Grégoire Nadin

CNRS researcher Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie (Paris 6) Boîte courrier 187 75252 Paris Cedex 05 France E-mail : nadin (at) ann (dot) jussieu (dot) fr Office : 2C20 Phone : (+33) 1 44 27 71 69 Fax : (+33) 1 44 27 72 00

Research interests

• 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

Publications and preprints

• Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations, submitted (PDF)
  
• (with J. Garnier and T. Giletti) Maximal and minimal spreading speeds  for reaction-diffusion equations in nonperiodic slowly varying media, arXiv.org.
  
• (with E. Bouin and V. Calvez) Hyperbolic traveling waves driven by growth, arXiv.org.
  
• (with L. Rossi) Propagation phenomena for time heterogeneous KPP reaction-diffusion equations, arXiv.org.
• (with B. Perthame and M. Tang) Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation, submitted, a longer version is available on arXiv.org.
• (with F. Hamel) Spreading properties for the Fisher-KPP equation with oscillating initial data, submitted (preprint on Hal).
  
• (with F. Hamel, L. Roques) A viscosity solution method for the spreading speed formula in slowly varying media, to appear in Indiana Univ. Math. J.
• Some dependence results between the spreading speed and the coefficients of the space-time periodic Fisher-KPP equation, to appear in Eur. J. Appl. Math. (preprint)
  
• Existence and uniqueness of the solutions of a space-time periodic reaction-diffusion equation, J. Diff. Eq. 249(6) (2010), pp 1288–1304, (preprint)
• The effect of the Schwarz rearrangement on the periodic principal eigenvalue of a nonsymmetric operator, SIAM J. Math. Anal. 4 (2010), pp. 2388–2406 (link)
  
• (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 (preprint)
• Traveling fronts in space-time periodic media, J. Math. Pures Appl. 92 (2009), pp 232–262 (PDF)
• The principal eigenvalue of a space-time periodic parabolic operator, Ann. Mat. Pura Appl. (4) 188 (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)
• 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) 

Conferences and seminars

• 22 november 2010, Workshop Evolutionary dynamics of structured populations, Cambridge, UK.
  
• 25-28 may 2010, AIMS Congress, Dresden, Germany.
• 4 may 2010, PDE seminary, UMPA, Lyon.
• 21-26 mars 2010, Workshop « Deterministic and stochastic front propagation », Banff, Canada.
• 18 déc 2009, Laboratoire Jacques-Louis-Lions 40th birthday, Paris (slides)
• 11 déc 2009, Laboratoire Jacques-Louis Lions seminary, Paris (slides).
• 10 nov 2009, Institut für Biomathematik und Biometrie seminary, Munchen, Germany.
• 2-6 june 2008, 2nd French-Canadian congress, Partial differential equations session, Montreal, Canada.
• 28 nov 2007, CAMP/Nonlinear PDE’s Seminary, university of Chicago, USA.
• 5 sept 2007, French-Japanese conference Readilab, Université d’Orsay, France.

• I am involved in the ANR project PREFERED.
  
• The website of the conference "Fronts and nonlinear PDEs, a tribute to Henri Berestycki", which will take place in june 2011 at ENS Paris.
  

PhD Thesis