Mikelic Andro's Home Page
Nom et prénom (Name)
: MikelićAndro
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, Faculté des Sciences et Technologie, Département de Mathématiques
(Professor at
the Université Lyon 1, Department
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.
[26] A. Mikelić:
Rough boundaries and wall laws,
dans Qualitative properties of solutions to partial differential equations, Lecture notes of Necas Center for mathematical
modeling, edited by E. Feireisl, P. Kaplicky and J. Malek,
, Volume 5,
Matfyzpress, Publishing House of the Faculty of Mathematics and
Physics Charles University in Prague, Prague, 2009,
p. 103-134. Articles publiés en 2010: [27]
M. Balhoff,
A. Mikelić,
M.F. Wheeler: Polynomial filtration laws for low Reynolds number flows through porous media,
Transport in Porous Media
, Vol. 81, No. 1 (2010), p. 35-60. [28]
G. Allaire, R. Brizzi,
A. Mikelić,
A. Piatnitski: Two-scale expansion with drift approach to the Taylor dispersion for reactive transport
through porous media,
Chemical Engineering Science, Vol. 65 (2010),p. 2292–2300.
[29]
G. Allaire,
A. Mikelić,
A. Piatnitski: Homogenization approach to the dispersion theory for reactive transport through porous media,
SIAM J. Math. Anal., Volume 42, Issue 1, pp. 125-144 (2010).
[30]
A. Mikelić,
: A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure,
J. Differential Equations, Vol. 248 (2010), pp. 1561-1577.
[31]
T. Clopeau,
A. Farina, A. Fasano, A. Mikelić: Asymptotic equations
for the terminal phase of glass fiber drawing and their analysis,
Nonlinear Analysis TMA: Real World Applications, Vol. 11 (2010), p. 4533-4545, [32]
G. Allaire,
A. Mikelić, A. Piatnitski: Homogenization of the linearized ionic transport equations in rigid periodic porous media,
J. Math. Phys. 51, 123103 (2010); doi:10.1063/1.35215552010.2010.
Articles publiés en 2011: [33]
A. Farina, A. Fasano,
A. Mikelić
: Non-Isothermal Flow of Molten Glass: Mathematical Challenges and Industrial Questions, chapter in Mathematical Models in the Manufacturing of Glass, editor A. Fasano, C.I.M.E. Summer School, Montecatini Terme, Italy 2008, Lecture Notes in Mathematics, 2011,
Volume 2010/2011, 173-224.
[34]
S. Čanić,
A. Mikelić, T.-B. Kim, G. Guidoboni: Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow,
IMA Volume on Nonlinear Conservation Laws and Applications, edited by Alberto Bressan, Gui-Qiang Chen, Marta Lewicka, and Dehua Wang, Vol 153 (2011), 235 -256.
[35]
E. Feireisl, Ph. Laurençot,
A. Mikelić: Global-in-time solutions for the isothermal Matovich-Pearson equations,
Nonlinearity, Vol. 24 (2011), p. 277 -292. (doi: 10.1088/0951-7715/24/1/014).
[36]
O. Boiarkine, D. Kuzmin, S. Čanić, G. Guidoboni,
A. Mikelić: A positivity-preserving ALE finite element scheme for convection-diffusion
equations in moving domains,
Journal of Computational Physics,
Vol. 230 (2011) 2896 – 2914.
[37]
A. Mikelić,
C.J. van Duijn: Rigorous derivation of a hyperbolic model for Taylor dispersion,
M3AS: Mathematical Models and Methods in Applied Sciences, Vol. 21, No. 5 (2011), p. 1095-1120.
[38] W. Jäger, A. Mikelić, M. Neuss-Radu: Homogenization-limit of a
model system for interaction of flow, chemical reactions and mechanics
in cell tissues,
SIAM J. Math. Anal., Vol. 43, No. 3 (2011), p. 1390--1435.
,
Les articles acceptés
pour publication
[39]
A.Farina, J. Bodin, T. Clopeau, A. Fasano, L. Meacci, A. Mikelić
: Isothermal Water Flows in Low Porosity Porous Media in Presence of Vapor--Liquid Phase Change,
accepté pour publication dans Nonlinear Analysis: Real World Applications, 2011.
[40]
A. Mikelić, M. F. Wheeler:
On the interface law between a deformable porous medium containing a viscous fluid and an elastic body,
accepté pour publication dans
M3AS:Mathematical Models and Methods in Applied Sciences, 2011.
[41]
A. Marciniak-Czochra, A. Mikelić:
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization,
accepté pour publication dans
Multiscale Modeling and Simulation, 2012.
Quelques
prépublications
(Some preprints)
[39] A. Mikelić , M. Wheeler:
Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system,
,
preprint, ICES, UT Austin 2011.
,
