Publications

Submitted works

  • B. Andreianov, C. Donadello and M.D. Rosini. Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow, submitted.
    Available as preprint HAL https://hal.archives-ouvertes.fr/hal-02877276
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  • B. Andreianov, S.S. Ghoshal and K. Koumatos. Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws, submitted.
    Available as preprint HAL hal.archives-ouvertes.fr/hal-02497181
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Recent works / works to appear

  • (2020) N. Alibaud, B. Andreianov and A. Ouédraogo. Nonlocal dissipation measure and L1 kinetic theory for fractional conservation laws, appeared Online First in Communications in PDEs, 39pp., DOI: 10.1080/03605302.2020.1768542
    Available as preprint HAL hal.archives-ouvertes.fr/hal-02320423
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  • (2020) B. Andreianov and A. Sylla. A macroscopic model to reproduce self-organization at bottlenecks, in R. Klöfkorn et al. (eds) Finite Volumes for Complex Applications IX – Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham, pp. 243-254, DOI: 10.1007/978-3-030-43651-3_21
    Available as preprint HAL hal.archives-ouvertes.fr/hal-02526538
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  • (2020) B. Andreianov and M. Maliki. On classes of well-posedness for quasilinear diffusion equations in the whole space, Discrete Cont. Dyn. Syst. ser. S, special issue in honor of 70th birthday of Prof. Michel Pierre, 2020 (online first). DOI: 10.3934/dcdss.2020361
    Available as preprint HAL hal.archives-ouvertes.fr/hal-02328003
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  • (2020) B. Andreianov and M. Brassart. Uniqueness of entropy solutions to fractional conservation laws with “fully infinite” speed of propagation, to appear in J. Differ. Equ. 268(2020), pp. 3903–3935 DOI:10.1016/j.jde.2019.10.008 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-02190753
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  • (2020) B. Andreianov and M.D. Rosini. Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic, in J. Banasiak et al.(eds) Semigroups of Operators – Theory and Applications. SOTA 2018. Springer Proceedings in Mathematics & Statistics, vol 325. Springer, Cham, 2020, pp. 113-135, DOI: 10.1007/978-3-030-46079-2_7
    Available as preprint HAL hal.archives-ouvertes.fr/hal-02197482
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  • (2018) B. Andreianov, C. Donadello, U. Razafison and M.D. Rosini. Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux. J. Math. Pures Appl., 116(2018), pp.309—346, DOI : 10.1016/j.matpur.2018.01.005 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01418272
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  • (2018) B. Andreianov, C. Donadello, U. Razafison and M.D Rosini. One-dimensional conservation laws with non-local point constraints on the flux. In : Crowd Dynamics, Volume 1 – Theory, Models, and Safety Problems (N. Bellomo, L. Gibelli eds.), Model. Simul. Sci. Eng. Technol., Birkhäuser/Springer, 2018, pp.103-135. DOI : 10.1007/978-3-030-05129 7_5
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  • (2017) B. Andreianov, C. Cancès and A. Moussa. A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. J. Funct. Anal. 273(12) (2017), pp. 3633-3670, DOI : 10.1016/j.jfa.2017.08.010 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01142499
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  • (2017) B. Andreianov, G.M. Coclite and C. Donadello. Well-posedness for vanishing viscosity solutions of scalar conservation law on a network. Discrete Cont. Dyn. Syst. ser. A 37(11) (2017), pp. 5913-5942, DOI : 10.3934/dcds.2017257 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01312742
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  • (2017) B. Andreianov, C. Donadello and A. Marson. On the attainable set for a scalar nonconvex conservation law. SIAM J. Control Opt., 55(4) (2017), pp. 2235-2270, DOI : 10.1137/16M1085966 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01346993
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  • (2017) B. Andreianov, M. Kramar Fijavž, A. Peperko and E. Sikolya. Erratum to : Semigroups of max-plus linear operators. Semigroup Forum 94 (2017), no.2, pp 477-479, DOI : 10.1007/s00233-017-9870-9 .
    .
  • (2016) B. Andreianov, C. Donadello and M.D. Rosini. A second order model for vehicular traffics with local point constraints on the flow. M3AS Math. Methods Models Appl. Sci. 26(4) (2016), pp. 751—802, DOI : 10.1142/S0218202516500172 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01146116
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  • (2016) B. Andreianov, C. Donadello, U. Razafison and M.D. Rosini. Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks. M2AN Math. Modelling and Numerical Analysis 50 (2016), pp. 1269-1287, DOI : 10.1051/m2an/2015078 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01121965
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  • (2016) B. Andreianov and M. Karimou Gazibo. Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws. Netw. Heter. Media 11 (2) (2016), pp. 203-222 (special issue Contemporary Topics in Conservation Laws), DOI:10.3934/nhm.2016.11.203 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01152481
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  • (2016) B. Andreianov, C. Donadello, U. Razafison, J.-Y. Rolland and M. D. Rosini. Solutions of the Aw-Rascle-Zhang system with point constraints. Netw. Heter. Media 11 (1) (2016), pp. 29-47 (special issue Contemporary Topics in Conservation Laws), DOI : 10.3934/nhm.2016.11.29 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01191596
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  • (2015) B. Andreianov. New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux. ESAIM : Proc. and Surveys 50 (2015), pp.40-65, DOI : dx.doi.org/10.1051/proc/201550003 .
    Available as preprint HAL hal.archives-ouvertes.fr/hal-01109040
    Cf. the related Beamer presentation at ICJ Lyon 2019
    .

Works of 1997 – 2015

CRAS Paris notes, proceedings and chapters of monographs (peer-reviewed)

Other notes and proceedings

Preprints, unpublished works

  • (Preprint) B. Andreianov and M. Karimou Gazibo. Solutions processus intégrales des équations d’évolution abstraites et application à l’approximation numérique d’un problème parabolique dégénéré. [ Integral-process solutions of abstract evolution equations and application to numerical approximation of a degenerate parabolic boundary-value problem. ]. Preprint HAL http://hal.archives-ouvertes.fr/hal-00857478
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  • (Preprint) B. Andreianov. Elliptic-parabolic problems : existence and structural stability of weak solutions. Unpublished ; available as Chapter II.1 of my Ph.D. Thesis.

Translation (from Russian)

  • (Translation) G.A. Chechkin et A.Yu. Goritsky, S.N. Kruzhkov lectures on first-order quasilinear PDEs. In E. Emmrich, P. Wittbold, eds., Analytical and Numerical Aspects of PDEs, DeGruyter, Berlin, 2009. Available at http://hal.archives-ouvertes.fr/hal-00363287

Manuscripts