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Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of $\mathbb{R}^d$

 Nathaël Alibaud , Félix del Teso , Jørgen Endal , Espen Robstad Jakobsen
2018
Pré-publication, Document de travail hal-01830388v1
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A NOTE ON GENERALIZED TRAVELING WAVE SOLUTIONS FOR MEAN CURVATURE FLOWS WITH MERELY L ∞ FORCING IN THE PLANE

 Nathael Alibaud , Gawtum Namah
2023
Pré-publication, Document de travail hal-03985852v1
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Occurence and non-appearance of shocks in fractal Burgers equations

 Nathaël Alibaud , Jerome Droniou , Julien Vovelle
Journal of Hyperbolic Differential Equations, 2007, 4 (3), pp.479-499. ⟨10.1142/S0219891607001227⟩
Article dans une revue hal-00089709v1
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(BOUNDED) TRAVELING COMBUSTION FRONTS WITH DEGENERATE KINETICS

 Nathaël Alibaud , Gawtum Namah
2019
Pré-publication, Document de travail hal-02337115v1

Entropy formulation for fractal conservation laws.

 Nathael Alibaud
Journal of Evolution Equations, 2007, 7 (1), pp.145-175. ⟨10.1007/s00028-006-0253-z⟩
Article dans une revue hal-00474312v1
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Non-uniqueness of weak solutions for the fractal Burgers equation

 Nathael Alibaud , Boris Andreïanov
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2010, 27 (4), pp. 997-016. ⟨10.1016/j.anihpc.2010.01.008⟩
Article dans une revue hal-00405892v3
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Nonlocal degenerate parabolic hyperbolic equations on bounded domains

 Nathaël Alibaud , Jørgen Endal , Espen Jakobsen , Ola Mæhlen
2023
Pré-publication, Document de travail hal-04230957v1
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Asymptotic properties of entropy solutions to fractal Burgers equation

 Nathaël Alibaud , Cyril Imbert , Grzegorz Karch
SIAM Journal on Mathematical Analysis, 2010, 42 (1), pp.354-376. ⟨10.1137/090753449⟩
Article dans une revue hal-00369449v3
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ON THE PROPAGATION OF A PERIODIC FLAME FRONT BY AN ARRHENIUS KINETIC

 Nathaël Alibaud , Gawtum Namah
2016
Pré-publication, Document de travail hal-01247348v2
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Continuous dependence estimates for nonlinear fractional convection-diffusion equations

 Nathael Alibaud , Simone Cifani , Espen Jakobsen
SIAM Journal on Mathematical Analysis, 2012, 44 (2), pp.603--632. ⟨10.1137/110834342⟩
Article dans une revue hal-00593376v2

Renormalized solutions of the fractional Laplace equation

 Nathael Alibaud , Boris Andreianov , Mostafa Bendahmane
Comptes Rendus. Mathématique, 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩
Article dans une revue hal-01208279v1
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NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS

 Nathaël Alibaud , Boris Andreianov , Adama Ouedraogo
2019
Pré-publication, Document de travail hal-02320423v1
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A non-monotone conservation law for dune morphodynamics

 Nathaël Alibaud , Pascal Azerad , Damien Isèbe
Differential and integral equations, 2010, 23, pp.155--188
Article dans une revue hal-00173879v1
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Optimal stability results and nonlinear duality for $L^\infty$ entropy and $L^1$ viscosity solutions

 Nathaël Alibaud , Jørgen Endal , Espen Robstad Jakobsen
2024
Pré-publication, Document de travail hal-01945687v4

Existence, uniqueness and regularity for nonlinear parabolic equations with nonlocal terms

 Nathael Alibaud
Nonlinear Differential Equations and Applications, 2007, 14 (3-4), pp.259-289. ⟨10.1007/s00030-007-5029-9⟩
Article dans une revue hal-00474307v1
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Optimal continuous dependence estimates for fractional degenerate parabolic equations

 Nathael Alibaud , Simone Cifani , Espen Jakobsen
Archive for Rational Mechanics and Analysis, 2014, 213 (3), pp.705-762. ⟨10.1007/s00205-014-0737-x⟩
Article dans une revue hal-00841159v4
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Diffusion as a singular homogenization of the Frenkel-Kontorova model

 Nathaël Alibaud , Ariela Briani , Régis Monneau
Journal of Differential Equations, 2011, 251 (4-5), pp.785-815. ⟨10.1016/j.jde.2011.05.020⟩
Article dans une revue hal-00372407v1
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Fractional semi-linear parabolic equations with unbounded data

 Nathaël Alibaud , Cyril Imbert
Transactions of the American Mathematical Society, 2009, 361, pp.2527-2566. ⟨10.1090/S0002-9947-08-04758-2⟩
Article dans une revue hal-00144548v1

A variational approach to the inversion of truncated Fourier operators

 Nathael Alibaud , Pierre Maréchal , Yaowaluk Saesor
Inverse Problems, 2009, 5 (4), pp.045002. ⟨10.1088/0266-5611/25/4/045002⟩
Article dans une revue istex hal-00474322v1
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