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Boris Andreianov

Homepage - Boris Andreianov - Page personnelle

JPEG - 1.5 ko

Laboratoire de Mathématiques de Besançon
CNRS UMR 6623
Université de Franche-Comté
16 route de Gray,
25030 Besançon Cedex, France

Tél : 03 81 66 63 24
E-Mail : boris.andreianov -at- univ-fcomte.fr

Bureau : 414B bâtiment Métrologie UFR Sciences et Techniques

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Pour les Lycéens


(2013) Lycée Jean Michel (Lons-le-Saunier),
classe terminale S de M. Philippe Speyer-Pays
Présentation sur le thème Qu’est-ce qu’un modèle mathématique ?
Video sur le même sujet (en beaucoup mieux)
par Dr. Guillaume Jouvet
,
lauréat du prix "Math pour la Planète Terre 2013"

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Scientific Works / Travaux Scientifiques


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Submitted works (mostly available on hal.archives-ouvertes.fr)

  • (Preprint) B. Andreianov, C. Donadello, S. S. Ghoshal and U. Razafison. On the attainable set for a class of triangular systems of conservation laws, submitted. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00967600
  • (Preprint) B. Andreianov and C. Cancès. On interface transmission conditions for conservation laws with discontinuous flux of general shape, submitted. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00940756
  • (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

Published works and works to appear (recent works available on hal.archives-ouvertes.fr)

  • B. Andreianov, M. Bendahmane, A. Quarteroni and R. Ruiz Baier. Solvability Analysis and Numerical Approximation of Linearized Cardiac Electromechanics, M3AS Math. Methods Models Appl. Sci., accepted. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00865585
  • B. Andreianov and D. Mitrović. Entropy conditions for scalar conservation laws with discontinuous flux revisited, Ann. Inst. H. Poincaré C Analyse Non Linéaire, apeared online, DOI : 10.1016/j.anihpc.2014.08.002 . Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00967848
  • (2014) B. Andreianov, C. Donadello and M.D. Rosini. Crowd dynamics and conservation laws with non-local constraints, M3AS Math. Methods Models Appl. Sci. 24(13) (2014), pp. 2685-2722. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00816449
  • (2014) B. Andreianov and C. Cancès. A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media. Comput. Geosci., 18 (2) (2014) , pp.211-226. Beamer presentation (SIAM Geosciences, Padua 2013)
  • (2014) B. Andreianov, F. Lagoutière, N. Seguin and T. Takahashi. Well-posedness for a one-dimensional fluid-particle interaction model. SIAM J. Math. Anal., 46 (2) (2014), pp.1030-1052. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00789315
  • (2013) B. Andreianov, M. Bendahmane and F. Hubert. On 3D DDFV discretization of gradient and divergence operators. Discrete functional analysis tools and applications. CMAM Comput. Meth. Appl. Math., 13 (4) (2013), pp.369-410, DOI : 10.1515/cmam-2013-0011 . Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00567342
  • (2013) B. Andreianov and M. Gazibo Karimou. Entropy formulation of degenerate parabolic equation with zero-flux boundary condition. ZAMP Zeitschr. Angew. Math. Phys., 64 (5) (2013), pp 1471-1491, doi:10.1007/s00033-012-0297-6 . Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00697593.
  • (2012) B. Andreianov, M. Bendahmane, F. Hubert and S. Krell. On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality. IMA J. Num. Anal., 32 (4) (2012), pp.1574-1603. Available as HAL preprint http://hal.archives-ouvertes.fr/hal-00355212
  • (2012) B. Andreianov and C. Cancès. The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. Applied Math. Letters, 25(11) (2012), pp.1844-1848. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00631586
  • (2012) B. Andreianov and P. Wittbold. Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition. NoDEA Nonlinear Diff. Equ. Appl., 19 (2012), no.6, pp.695-717. Available as HAL preprint http://hal.archives-ouvertes.fr/hal-00608521
  • (2012) B. Andreianov and N. Igbida. On uniqueness techniques for degenerate convection-diffusion problems. Int. J. Dyn. Syst. Diff. Equ. 4 (1/2) (2012), pp.3-34 ; available at http://hal.archives-ouvertes.fr/hal-00553819.
  • (1999) B. Andreyanov. Vanishing viscosity method and explicit formulae for solutions of the Riemann problem for scalar quasilinear conservation law. (Russian). Vestn. Mosc. Univ. I : Math.&Mech. 71 (1999), no.1, pp.3-8. Transl. in Moscow Univ. Math. Bull. 54 (1999), no. 1, 1–6 ; available as Chapter I.1 of my Ph.D. Thesis

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

  • B. Andreianov, C. Donadello, U. Razafison and M.D. Rosini. Riemann problems with non—local point constraints and capacity drop, Math. Biosci. Engineering, accepted for a special issue. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00959974
  • (2014) B. Andreianov and M. Karimou Gazibo. Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition, In Führmann et al., eds, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects Springer Proc. Math. Stat. Vol. 77, 2014, pp.303-311. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00950142
  • (2014) B. Andreianov. One-dimensional conservation law with boundary conditions : general results and spatially inhomogeneous case, In F. Ancona et al., eds. Hyperbolic Problems : Theory, Numerics, Applications, Proceedings of 14th HYP conference in Padua, AIMS series in Appl. Math. Vol.8, pp.259-267. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00761664
  • (2014) B. Andreianov. Semigroup approach to conservation laws with discontinuous flux. In G-Q. Chen, H. Holden and K.H. Karlsen, eds., Springer Proc. in Math. and Stat. Vol.49, 2014, pp.1—22. Available as preprint HAL http://hal.archives-ouvertes.fr/hal-00698581
  • (2011) B. Andreianov, F. Hubert, and S. Krell. Benchmark 3D : a version of the DDFV scheme with cell/vertex unknowns on general meshes. In : Proceedings of Finite Volume for Complex Applications VI, Prague, Springer, 2011, Volume 4, Part 3, pp.937-948 ( DOI : 10.1007/978-3-642-20671-9_91 ) ; available as HAL preprint http://hal.archives-ouvertes.fr/hal-00572732
  • (2005) B. Andreianov, F. Boyer and F. Hubert. "Duplex" finite-volume schemes for nonlinear elliptic problems on general 2D meshes. In : Proceedings of Finite Volumes for Complex Applications IV, Marrakech, pp. 365-376, Ed. F. Benkhaldoun, D. Ouazar et S. Raghay, Hermes Science (2005). Available as Beamer presentation at FVCA 4, Marrakesh, Morocco, 2005

Other notes and proceedings

Preprints, unpublished works

  • (Preprint) B. Andreianov and M. Maliki. On well-posedness for nonlinear convection-diffusion equations in R^N. The pure diffusion case. Preprint. Available on request
  • (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

Some Beamer Presentations

Co-organized meetings