Liste de publications

• "On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows". Soumis pour publication. .
  L. Brandolese, A.V. Busuioc, D. Iftimie and C. F. Perusato.
• "Asymptotic profiles for the linear 3D micropolar system and applications to the large-time behavior of the nonlinear problem". Travail en cours.
  L. Brandolese, P. Braz e Silva,  A.V. Busuioc , D. Iftimie and C. F. Perusato.
• The incompressible α-Euler equations in the exterior of a vanishing disk.
  A. V. Busuioc, D. Iftimie, M. Lopes Filho et H. Nussenzveig Lopes, Indiana University Mathematics Journal  73, no. 2 (2024) 691-721.
• In memoriam: Geneviève Raugel.
  A.V. Busuioc, T. Gallay, R. Joly, Journal of Dynamics and Differential Equations volume 34, pages 2585–2592 (2022).
• The limit α → 0 of the α-Euler equations in the half plane with no-slip boundary conditions and vortex sheet initial data.
  A. V. Busuioc, D. Iftimie, M. Lopes Filho et H. Nussenzveig Lopes. SIAM Journal on Mathematical Analysis 52 (2020), no. 5, 5257–5286.
• From second grade fluids to the Navier-Stokes equations.
  A. V. Busuioc. J. Differential Equations 265 (2018), no. 3, 979–999.
• Weak solutions for the α–Euler equations and convergence to Euler.
  A. V. Busuioc et D. Iftimie. Nonlinearity 30 (2017), 4534–4557.
• Uniform time of existence for the alpha Euler equations.
  A. V. Busuioc, D. Iftimie, M. Lopes Filho et H. Nussenzveig Lopes. J. Functional Analysis, 271 (2016), no. 5, 1341–1375.
• The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation.
  A. V. Busuioc, D. Iftimie, S. Ciuperca et L. Palade. J. Dyn. Diff. Eqns. 26 (2014), no. 2, 217–241.
• Incompressible Euler as a limit of complex fluid models with Navier boundary conditions
  A. V. Busuioc, D. Iftimie, M. Lopes Filho et H. Nussenzveig Lopes. Journal of Diff. Eqns. 252 (2012), no. 1, 624–640.
• On the large time behavior of solutions of the alpha Navier-Stokes equations.
  A. V. Busuioc. Physica D: Nonlinear Phenomena  238 (2009), no. 23-24, 2261–2272.
• On steady third grade fluids equations.
  A. V. Busuioc, D. Iftimie et M. Paicu. Nonlinearity 21 (2008), no. 7, 1621–1635.
• A non-Newtonian fluid with Navier boundary conditions.
  A. V. Busuioc et D. Iftimie. Journal of Dynamics and Differential Equations 18 (2006), no. 2, 357–379.
• Some remarks on a certain class of axisymmetric fluids of differential type.
  A. V. Busuioc et T. S. Ratiu. Physica D: Nonlinear Phenomena  191 (2004), no. 1-2, 106–120.
• Global existence and uniqueness of solutions for the equations of third grade fluids.
  A. V. Busuioc et D. Iftimie. Int. J. Non-Linear Mech. 39 (2004), no. 1, 1–12.
• A fluid problem with Navier-slip boundary conditions.
  A. V. Busuioc et T. S. Ratiu. Complementarity, duality and symmetry in nonlinear mechanics, 241–254, Adv. Mech. Math., 6, Kluwer Acad. Publ., Boston, MA, 2004.
• On the flow of a Bingham fluid passing through an electric field.
  A. V. Busuioc et D. Cioranescu. Internat. J. Non-Linear Mech. 38 (2003), no. 3, 287–304.
• The second grade fluid and averaged Euler equations with Navier-slip boundary conditions.
  A. V. Busuioc et T. S. Ratiu. Nonlinearity 16 (2003), no. 3, 1119–1149.
• The regularity of bidimensional solutions of the third grade fluids equations.
  A. V. Busuioc. Math. Comput. Modelling 35 (2002), no. 7-8, 733–742.
• On second grade fluids with vanishing viscosity.
  A. V. Busuioc. Port. Math. (N.S.) 59 (2002), no. 1, 47–65.
• Sur les équations α Navier-Stokes dans un ouvert borné.
  A. V. Busuioc. C. R. Math. Acad. Sci. Paris 334 (2002), no. 9, 823–826.
• On a class of electrorheological fluids.
  A. V. Busuioc et D. Cioranescu. Ricerche Mat. 49 (2000), suppl., 29–60.
• Existence et unicité globale des solutions pour les équations des fluides de grade 3.
  A. V. Busuioc et D. Iftimie. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 8, 741–744.
• On second grade fluids with vanishing viscosity.
  A. V. Busuioc. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1241–1246.
• Sur une classe de fluides électrorhéologiques.
  A. V. Busuioc et D. Cioranescu. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 5, 449–454.

Thèse de doctorat

• "Sur quelques problèmes en mécanique des fluides non-newtoniens", directrice de thèse Doina Cioranescu. Laboratoire JLL,  Université Pierre et Marie Curie. Janvier 2000.

Habilitation à diriger des recherches

• "Un regard mathématique sur les fluides non-newtoniens". Université Jean Monnet  Saint-Étienne, Janvier 2014. 

          Jury HdR:

-Didier Bresch, Université de Savoie Mont Blanc (rapporteur)

-Doina Cioranescu,  Université Paris 6

-Andro Mikelic,  Université Lyon1

-Helena Nussenzveig Lopes,  Université Fédérale de Rio de Janeiro

-Grigory Panasenko, Université Jean Monnet

-Tudor Ratiu, Ecole Polytechnique  Fédérale de Lausanne (rapporteur)

-Geneviève Raugel, Université d'Orsay (présidente du jury)

-Maria Schonbek, Université de Santa Cruz  (rapporteur)

 

Mis à jour le 11/04/2025