Mikelic Andro's Home Page
Nom et prénom (Name)
: Mikelic Andro
Lieu et date de naissance (Place and date of birth) :
Split, Dalmatie, CROATIE, le 2 octobre 1956
(Split, Dalmatia,
CROATIA, October 2, 1956).
Situation:
Professeur à l'Université Lyon 1, U.F.R. Mathématiques
(Professor at
the Université Lyon 1, Faculty
of Mathematics).
( en francais (in French).
Activités actuelles de recherche (Current research activities)
Théorie de l'homogénéisation et applications
(Homogenization theory and applications)
Étude asymptotique approfondie des équations de Navier-Stokes et Euler en milieux poreux et des EDP des écoulements en milieux poreux aléatoires (Detailed asymptotic study of the Navier-Stokes and Euler equations in porous media and of the flows equations in random porous media). Détermination des loi constitutives sur les interfaces milieu poreux / fluide libre (Determination of the constutive relations at the interfaces between a porous medium and a free flow). Homogénéisation stochastique (Stochastic homogenization). Les applications en environnement et en physiologie mathématique (Applications to environmental problems and to the mathematical physiology)
AMS
Subject Classification Index 35B, 35Q, 76D, 76S
Mécanique des fluides, turbulence (Fluid mechanics, turbulence) :
Hydrodynamique statistique (statistical hydrodynamics).
AMS Subject Classification Index 35Q, 76D, 76S
Quelques articles recents
(Some
recent articles)
Articles publiés en 2005 :
[1] S. Čanić,
A. Mikelić , J. Tambača: A Two-Dimensional Effective Model Describing
Fluid-Structure Interaction in Blood
Flow: Analysis, Numerical Simulation and Experimental Validation, Comptes
Rendus Mécanique, Vol. 333 (2005), p. 867-883.
[2] J. Tambača, S. Čanić, A. Mikelić: Effective model of the fluid flow through elastic
tube with variable radius, Grazer Math. Ber., Bericht nr. 348 (2005), pp. 91-112.
[3] S. Čanić,
D. Lamponi, A. Mikelić , J. Tambača: Self-Consistent Effective
Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries, SIAM
Multiscale Model. Simul.,
Vol. 3 (2005), p. 559-596.
Articles publiés en 2006 :
[4] A. Mikelić,
V. Devigne, C.J. van Duijn: Rigorous upscaling of the reactive flow through a
pore, under dominant Peclet and Damkohler numbers, SIAM J. Math. Anal., Vol.
38, Issue 4 (2006), p. 1262-1287. Taylordispersion
[5] S. Čanić,
J. Tambača, G. Guidoboni, A. Mikelić,
C. J. Hartley, D. Rosenstrauch: Modeling
Viscoelastic Behavior of Arterial Walls and their Interaction with Pulsatile
Blood Flow, SIAM J. Appl. Maths, Vol. 67, no. 1 (2006), p.164-193.
[6] A. Mikelić , M.
Primicerio: Modelling and homogenizing a problem of sorption/desorption in
porous media, M3AS : Math. Models
Methods Appl.
Sci., Vol. 16, no. 11 (2006), p. 1751-1782.
[7] M. Cabrera, T. Clopeau, A. Mikelić, J. Pousin: Approximation de la lubrification pour l'étalement
de gouttes en présence d'évaporation, application aux biopuces,
La
houille blanche, No 2 (2006), p.
93-99.
[8] S. Čanić, C.J. Hartley, D. Rosenstrauch,
J. Tambača, G. Guidoboni, A. Mikelić:
Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model,
Numerics and Experimental Validation, Annals of Biomedical Engineering, Vol. 34
(2006), pp. 575 - 592
[9] N. Neuss, M. Neuss-Radu, A. Mikelić : Effective Laws for the
Poisson Equation on Domains with Curved Oscillating Boundaries, Appl. Anal. ,
Vol. 85 (2006), no. 5, p. 479--502.
[10] A. Mikelić , M.
Primicerio: A diffusion-consumption problem for oxygen in a living tissue
perfused by capillaries, Nonlinear differ. equ. appl. (NoDEA) ,
Vol. 13, no. 3 (2006), pp. 349-367. [11] M. Cabrera, T. Clopeau, A. Mikelić, J. Pousin: Viscous drops spreading with
evaporation and applications to DNA biochips, Progress
in Industrial Mathematics at ECMI 2004, Series: Mathematics in Industry, Vol.
8, Di Bucchianico,Alessandro; Mattheij, Robert M.M.; Peletier, Marc Adriaan
(Eds.), Springer 2006, p. 320-325. Articles publiés en 2007 : [12] A. Mikelić , C.
Rosier : Rigorous upscaling of the
infinite adsorption rate reactive flow under dominant Peclet number through a
pore,
Ann Univ Ferrara, Vol. 53 (2007), p. 333-359. [13] M. Belhadj, E. Cancès, J.F.
Gerbeau, A. Mikelić: Homogenization
approach to filtration through a fibrous medium, Networks and Heterogeneous Media, Vol. 2 (2007), p. 529 - 550. [14] A. Mikelić, G.
Guidoboni, S. Čanić : Fluid-Structure
Interaction in a Pre-Stressed Tube with Thick Elastic Walls I: The Stationary
Stokes Problem, Networks and Heterogeneous Media, Vol. 2 (2007), p. 397 - 423.
[15] A. Mikelić : On
the justification of the Reynolds equation, describing isentropic compressible
flows through a tiny pore, Ann Univ
Ferrara, Vol. 53 (2007), p. 95-106.
[16] A. Mikelić, S. Čanić: Homogenization closure for a
two-dimensional effective model describing fluid- structure interaction in
blood flow, in "Math Everywhere"; Deterministic and Stochastic Modelling in Biomedicine,
economics and Industry, Dedicated to the
60th Birthday of Vincenzo Capasso, G. Aletti, M. Burger, A. Micheletti, D.
Morale (ed.) , Springer Heidelberg, 2007, p. 193-205., 2008.
Articles publiés en 2008 :
[17] O. Iliev, A. Mikelić, P. Popov : On
upscaling certain flows in deformable porous media,
Multiscale Model. Simul., Vol. 7 (2008), no. 1, p. 93-123.
[18] A. Farina, A. Fasano, A. Mikelić : On
the equations governing the flow of mechanically incompressible, but thermally expansible, viscous
fluids,
M3AS : Math. Models Methods Appl. Sci., Vol. 18 (2008), no. 6, p. 813-858.
[19] C.J. van Duijn, A. Mikelić
, I.S. Pop, C. Rosier: Effective Dispersion Equations For Reactive Flows With Dominant Peclet and Damkohler Numbers,
Advances in
Chemical Engineering,
[20] A. Mikelić, J. Bruining: Analysis of
model equations for stress-enhanced diffusion in coal layers. Part I: Existence of a weak
solution. SIAM Journal of Mathematical Analysis
, Volume 40, Issue 4, pp. 1671-1691 (2008).
[21] C. Choquet, A. Mikelić :
Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant
Peclet number through a pore,
Applicable Analysis, Vol. 87, No. 12,
December 2008, 1373--1395..
Articles publiés en 2009:
[22] A. Mikelić: An existence result for the equations describing a gas-liquid two-phase flow.
Comptes rendus Mécanique
, Volume 337, Issue 4,
2009, p. 226-232. [23] W. Jäger, A. Mikelić, M. Neuss-Radu: Analysis
of Differential Equations Modelling the Reactive
Flow through a Deformable System of Cells,
Arch. Ration. Mech. Anal.
,
Vol. 192, no. 2 (2009), p. 331-374.
[24] C. Choquet, A. Mikelić: Rigorous upscaling of the reactive flow with finite kinetics and under dominant Peclet number.
Continuum Mechanics and Thermodynamics
, Volume 21, 2009, p. 125-140.
[25] W. Jäger, A. Mikelić: Modeling effective interface laws for transport phenomena
between an unconfined fluid and a porous medium using
homogenization
Transport in Porous Media
, Volume 78, Number 3, 2009,
p. 489-508. Les articles acceptés
pour publication [26]
T. Clopeau,
A. Farina, A. Fasano, A. Mikelić: Asymptotic equations
for the terminal phase of glass fiber drawing and their analysis,
accepté pour publication dans Nonlinear Analysis TMA: Real World Applications, 2009,
[27] A. Mikelić: Rough boundaries and wall laws, accepté pour publication dans
Lecture notes of Necas Center for mathematical modeling
Vol. 5, p. 69 - 100,
Matfyzpress, Prague, 2009.
[28]
M. Balhoff,
A. Mikelić,
M.F. Wheeler: Polynomial filtration laws for low Reynolds number flows through porous media,
accepté pour publication dans
Transport in Porous Media
, 2009, DOI: s11242-009-9388-z. Quelques
prépublications [1]
G. Allaire, R. Brizzi,
A. Mikelić,
A. Piatnitski: Two-scale expansion with drift approach to the Taylor dispersion for reactive transport
through porous media,
preprint
, 2009.
(Some preprints)