NODAL DISCRETE DUALITY NUMERICAL SCHEME FOR NONLINEAR DIFFUSION PROBLEMS ON GENERAL MESHES Article Andreianov B., Houssaine Quenjel E. IMA Journal of Numerical Analysis. Oxford University Press. Vol. 44. 2024. P. 1597-1643
EXISTENCE OF SOLUTIONS FOR A CLASS OF ONE-DIMENSIONAL MODELS OF PEDESTRIAN EVACUATIONS Article Andreianov 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 Article Andreianov B., Rosini M.D., Stivaletta G. Journal of Differential Equations. Academic Press Inc.. Vol. 369. 2023. P. 253-298
EXISTENCE ANALYSIS AND NUMERICAL APPROXIMATION FOR A SECOND-ORDER MODEL OF TRAFFIC WITH ORDERLINESS MARKER Article Andreianov B., Sylla A. Mathematical Models and Methods in Applied Sciences. World Scientific. Vol. 32. 2022. P. 1295-1348
LACK OF CONTROLLABILITY OF THE VISCOUS BURGERS EQUATION: PART I—THE L ∞ SETTING Article Andreianov B., Ghoshal S.S., Koumatos K. Journal of Evolution Equations. Birkhauser. Vol. 22. 2022.
ON CLASSES OF WELL-POSEDNESS FOR QUASILINEAR DIFFUSION EQUATIONS IN THE WHOLE SPACE Article Andreianov B., Maliki M. Discrete and Continuous Dynamical Systems - Series S. American Institute of Mathematical Sciences. 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 Article Andreianov B., Donadello C., Rosini M.D. Nonlinear Differential Equations and Applications. Birkhauser Verlag AG. Vol. 28. 2021.
NONLOCAL DISSIPATION MEASURE AND L1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS Article Alibaud N., Andreianov B., Ouédraogo A. Communications in Partial Differential Equations. Vol. 45. 2020. P. 1213-1251
NONLOCAL DISSIPATION MEASURE AND L<SUP>1</SUP> KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS Article Alibaud N., Andreianov B., Ouédraogo A. Communications in Partial Differential Equations. 2020.
MICROSCOPIC SELECTION OF SOLUTIONS TO SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX IN THE CONTEXT OF VEHICULAR TRAFFIC Article Andreianov B., Rosini M.D. Springer Proceedings in Mathematics and Statistics. Springer New York LLC. Vol. 325. 2020. P. 113-135