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Position : “Maître de conférence” in applied mathematics (part-time since 2010).

Institutes :

• Engineering School ENSMM, Besançon, France.
• Laboratory of Mathematics of Besançon (LMB), UMR CNRS 6623, University of Bourgogne Franche-Comté, France.

(Research team : “Equations aux dérivées partielles.”)

Past special position : 6 months special professor (in 2010-2011) at the

• Department of Mathematics and Statistics, Prince of Songkla University, Hat Yai, Thailand.

Email : nathael.alibaud ens2m.fr

Research activities

Main interests :

• Partial differential equations (Hamilton-Jacobi equations, conservation laws, nonlocal equations, combustion problems).
• Inverse problems (Fourier synthesis, regularization by mollification).

Published papers :

• N. Alibaud and G. Namah. “On the propagation of a periodic flame front by an Arrhenius kinetic.” Interfaces Free Bound., 19 (2017), no. 3, pp. 449-494. download
• N. Alibaud, S. Cifani and E. R. Jakobsen, “Optimal continuous dependence estimates for fractional degenerate parabolic equations,” Arch. Ration. Mech. Anal., 213 (2014), no. 3, pp. 705-762.
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• N. Alibaud, S. Cifani and E. R. Jakobsen, “Continuous dependence estimates for nonlinear fractional convection-diffusion equations,” SIAM J. Math. Anal, 44 (2012), no. 2, pp. 603-632.
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• N. Alibaud, A. Briani and R. Monneau, “Diffusion as singular homogenization of the Frenkel-Kontorova model,” J. Differential Equations, 251 (2011), no. 4-5, pp. 785-815.
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• N. Alibaud, C. Imbert and G. Karch, “Asymptotic properties of entropy solutions to fractal Burgers equation,” SIAM J. Math. Anal., 42 (2010), Issue 1, pp. 354-376.
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• N. Alibaud, P. Azérad and D. Isèbe, “A non-local non-monotone conservation law for dune morphodynamics,” Differential and Integral Equations, 23 (2010), no. 1-2, pp. 155-188.
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• N. Alibaud, B. Andreianov, “Non-uniqueness of weak solutions for the fractal Burgers equation,” Ann. Inst. H. Poincaré Anal. Non Linéaire, 27 (2010), no. 4, pp. 997-1016.
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• N. Alibaud, P. Maréchal and Y. Saesor, “A variational approach to the inversion of truncated Fourier operators,” Inverse Problems, 25 (2009), no. 4, 045002.
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• N. Alibaud, C. Imbert, “Fractional semi-linear parabolic equations with unbounded data,” Trans. Amer. Math. Soc., 361 (2009), pp. 2527-2566.
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• N. Alibaud, J. Droniou and J. Vovelle, “Occurrence and non-appearance of shocks in fractal Burgers equations,” J. Hyperbolic Differ. Equ., 4 (2007), no. 3, pp. 479-499.
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• N. Alibaud, “Entropy formulation for fractal conservation
  laws,” J. Evol. Equ., 7 (2007), no. 1, pp. 145-175.
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• N. Alibaud, “Existence, uniqueness and regularity for non-linear degenerate parabolic equations
  with non-local terms,” NoDEA Nonlinear Differential Equations Appl., 14 (2007), no. 3-4, pp. 259-299.
  download

Published note :

• N. Alibaud, B. Andreianov and M. Bendahmane, “Renormalized solutions of the fractional Laplace equation,” C. R. Math. Acad. Sci. Paris, 348 (2010), no. 13-14, pp. 759-762.
  download

Participation to research projects :

(Past)

• 2011-2015 : Member of the ANR no. ANR-11-JS01-006-01, “Contemporary Topics in Conservation Laws” (CoToCoLa).
• 2013-2014 : Member of the PHC Polonium no. 31460NC, “Nonlocal nonlinear hyperbolic conservation laws :
  modeling, analysis, approximations.”
• 2009-2011 : Associated researcher to the PHC Polonium no. 20078TL, “Nonlinear Evolution Equations With Anomalous Diffusions.”
• 2003-2006 : Member of the ACI no. ACI JC 1041, “Mooving interfaces with non-local terms.”

Co-organization of events :

(Past)

• Ecole de printemps, EDP Non-linéaire Mathématiques et Interactions : modèles non locaux et applications, 27-30 April 2015, Essaouira. website
• Journées d’Analyse Non Linéaire, 19-20 June 2014, LMB
• Journées Numériques de Besançon, 20-21 May 2010, LMB

Teaching activities (ENSMM)

Module MATH4, parcours SYSTEMES (nouveau depuis 2017)

• Polycopié du cours sur les EDP (théorie et approx) : pdf/edp_cours_2017.pdf

Ancien module de mathématiques du semestre vert (jusqu’en 2017)

• Polycopié du cours sur les éléments finis (+TD et TP corrigés) : pdf/approx_edp_printemps_2017.pdf
• Annales d’examens corrigés sur les éléments finis : pdf/approx_edp_annales_2017.pdf