NODAL DISCRETE DUALITY NUMERICAL SCHEME FOR NONLINEAR DIFFUSION PROBLEMS ON GENERAL MESHES ArticleAndreianov B., Houssaine Quenjel E.IMA Journal of Numerical Analysis. Vol. 44. 2024. P.. 1597-1643
EXISTENCE OF SOLUTIONS FOR A CLASS OF ONE-DIMENSIONAL MODELS OF PEDESTRIAN EVACUATIONS ArticleAndreianov B., Girard T.SIAM Journal on Mathematical Analysis. Vol. 56. 2024. P.. 3386-3411
ON EXISTENCE, STABILITY AND MANY-PARTICLE APPROXIMATION OF SOLUTIONS OF 1D HUGHES' MODEL WITH LINEAR COSTS ArticleAndreianov B., Rosini M.D., Stivaletta G.Journal of Differential Equations. Vol. 369. 2023. P.. 253-298
LACK OF CONTROLLABILITY OF THE VISCOUS BURGERS EQUATION: PART I—THE L ∞ SETTING ArticleAndreianov B., Ghoshal S.S., Koumatos K.Journal of Evolution Equations. Vol. 22. 2022.
EXISTENCE ANALYSIS AND NUMERICAL APPROXIMATION FOR A SECOND-ORDER MODEL OF TRAFFIC WITH ORDERLINESS MARKER ArticleAndreianov B., Sylla A.Mathematical Models and Methods in Applied Sciences. Vol. 32. 2022. P.. 1295-1348
ON CLASSES OF WELL-POSEDNESS FOR QUASILINEAR DIFFUSION EQUATIONS IN THE WHOLE SPACE ArticleAndreianov B., Maliki M.Discrete and Continuous Dynamical Systems - Series S. Vol. 14. 2021. P.. 505-531
ENTROPY SOLUTIONS FOR A TWO-PHASE TRANSITION MODEL FOR VEHICULAR TRAFFIC WITH METASTABLE PHASE AND TIME DEPENDING POINT CONSTRAINT ON THE DENSITY FLOW ArticleAndreianov B., Donadello C., Rosini M.D.Nonlinear Differential Equations and Applications. Vol. 28. 2021.
NONLOCAL DISSIPATION MEASURE AND L1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS ArticleAlibaud N., Andreianov B., Ouédraogo A.Communications in Partial Differential Equations. Vol. 45. 2020. P.. 1213-1251
MICROSCOPIC SELECTION OF SOLUTIONS TO SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX IN THE CONTEXT OF VEHICULAR TRAFFIC ArticleAndreianov B., Rosini M.D.Springer Proceedings in Mathematics and Statistics. Vol. 325. 2020. P.. 113-135