Cyril Imbert
Assistant Professor
Department of Mathematics and Applications
Ecole Normale Superieure (ENS)
France
Biography
1994-1997 Ecole Normale Supérieure de Lyon July 1997 Aggregation of Mathematics 1998-2000 Research Associate and Monitor at Toulouse III University 1997-2000 Thesis of Applied Mathematics of Toulouse III University
Research Interest
Non-linear PDEs. ' - Inter-differential kinetic equations - Elliptical and parabolic equations - Hamilton-Jacobi equations - Scalar conservation laws Participation in research structures - Local Manager (Paris-CERMICS) of the ANR "Hamilton-Jacobi equations on networks" (HJnet, white, O. Ley, 2013-2016) - Completed projects: ANR-JCJC "Dynamics of interfaces in" evolution equations "(2011- 2014), ANR "Hamilton-Jacobi and weak KAM theory" (2008-2011), ANR "Equations of evolution" dissipation and convergence towards equilibrium (2008-2011), Aegis - PHC Polonium "Nonlinear evolutions equations with anomalous diffusions "(2009-2011), ANR" Interfaces Movement, Calculations and Applications "(2006-2010), ACI" Frontal movements with non-local terms "(2003-2006).
Publications
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With R. Shvydkoy and F. Vigneron. Global well-posedness for a non-local Burgers' equation: the periodic case. Annals of the Faculty of Sciences of Toulouse , Sér. 6, 25 no. 4 (2016), p. 723-758
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Avec R. Monneau. Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Discrete and continuous dynamical systems – series A, Vol. 37, no. 12, p. 6405 – 6435.
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Avec V. D. Nguyen. Generalized junction conditions for degenerate parabolic equations. Calculus of Variations and PDE’s, 56: 157.
