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Global weak solutions of a Hamiltonian regularised Burgers equation

 Billel Guelmame , Stéphane Junca , Didier Clamond , Robert L Pego
Journal of Dynamics and Differential Equations, 2022, https://link.springer.com/article/10.1007/s10884-022-10171-0. ⟨10.1007/s10884-022-10171-0⟩
Article dans une revue hal-02478872v2
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Global dissipative martingale solutions to the variational wave equation with stochastic forcing

 Billel Guelmame , Julien Vovelle
2023
Pré-publication, Document de travail hal-04282928v1
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On a Hamiltonian regularization of scalar conservation laws

 Billel Guelmame
Discrete and Continuous Dynamical Systems - Series A, In press
Article dans une revue hal-02512810v3
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Entropy solutions in $BV^s$ for a class of triangular systems involving a transport equation

 Christian Bourdarias , Anupam Pal Choudhury , Billel Guelmame , Stéphane Junca
SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.791-817. ⟨10.1137/20M1351783⟩
Article dans une revue hal-02895603v3
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Global weak solutions of the Serre–Green–Naghdi equations with surface tension

 Billel Guelmame
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press
Article dans une revue hal-03585433v2
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Hamiltonian regularisation of the unidimensional barotropic Euler equations

 Billel Guelmame , Didier Clamond , Stéphane Junca
Nonlinear Analysis: Real World Applications, 2022, 64, 22p. ⟨10.1016/j.nonrwa.2021.103455⟩
Article dans une revue hal-02907304v1
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Convergence rate for a regularized scalar conservation law

 Billel Guelmame , Haroune Houamed
Zeitschrift für Angewandte Mathematik und Physik, In press
Article dans une revue hal-04493491v2
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Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom

 Billel Guelmame , Didier Clamond , Stéphane Junca
Methods and Applications of Analysis, 2022, 29 (3), pp.295-302. ⟨10.4310/MAA.2022.v29.n3.a4⟩
Article dans une revue hal-02915262v1
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Regularizing effect for conservation laws with a Lipschitz convex flux

 Billel Guelmame , Stéphane Junca , Didier Clamond
Communications in Mathematical Sciences, 2019, 17 (8), pp.2223-2238. ⟨10.4310/CMS.2019.v17.n8.a6⟩
Article dans une revue hal-01943834v1
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Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$

 Shyam Sundar Ghoshal , Billel Guelmame , Animesh Jana , Stéphane Junca
Nonlinear Differential Equations and Applications, 2020, 27 (5), pp.46. ⟨10.1007/s00030-020-00649-5⟩
Article dans une revue hal-02495036v2
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On the blow-up scenario for some modified Serre–Green–Naghdi equations

 Billel Guelmame
Nonlinear Analysis: Theory, Methods and Applications, 2022, ⟨10.1016/j.na.2022.113084⟩
Article dans une revue hal-03264688v2
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