Youcef
Amirat
Professor Emeritus of Mathematics
Research interests
Partial
differential equations, Homogenization theory and applications, Fluid
mechanics, Magnetohydrodynamics, Magnetic fluids, Micropolar fluids,
Fluids in porous media, Maxwell and eddy current equations, Asymptotic methods, Boundary and internal layers
Recent
articles in international journals
- Y. Amirat and A. Münch, Internal layer intersectiong the boundary of a domain in a singular advection-diffusion equation, Asymptotic
Analysis, to appear.
- Y. Amirat and K. Hamdache,
Homogenization of ferrofluid flow models in porous media with Langevin magnetization law, Journal
of Mathematical Analysis and Applications, Vol. 525, Issue 1, September 2023, 127129. https://doi.org/10.1016/j.jmaa.2023.127129
- Y. Amirat, K. Hamdache and V.V. Shelukhin,
Homogenization of MHD flows in porous media, Journal
of Differential Equations, Vol. 339, 90-133 (2022).
- Y. Amirat and V.V. Shelukhin,
Homogenization of equations for miscible fluids, Journal
of Applied
Mechanics
and Technical Physics, Vol. 62, no. 4, 191-200 (2021).
- Y. Amirat and A. Münch, Asymptotic analysis of an
advection-diffusion equation involving interacting boundary and internal layers, Mathematical
Methods in the Applied Sciences, vol. 43, no. 11, 6823-6860 (2020).
- Y. Amirat and V.V. Shelukhin,
Homogenization of harmonic Maxwell equations with allowance for
interfacial surface currents: layered structure, Journal
of Applied
Mechanics
and Technical Physics, Vol. 60, no. 4, 593-607 (2019).
- Y. Amirat and A. Münch, On the controllability of an
advection-diffusion equation with respect to the diffusion parameter:
Asymptotic analysis and numerical simulations,
Acta Mathematicae Applicatae Sinica, vol. 35, no. 1, 54-110 (2019).
- Y. Amirat and A. Münch, Asymptotic analysis of an
advection-diffusion equation and application to boundary
controllability, Asymptotic
Analysis, vol. 112, no. 1-2, 59-106 (2019).
- Y. Amirat and K. Hamdache, Weak solutions to
stationary equations of heat transfer in a magnetic fluid, Communications on Pure
and Applied Analysis, vol. 18, no. 2, 709-734 (2019).
- Y. Amirat and K. Hamdache, Sationary
solutions of a heated magnetic fluid model, Applicable
Analysis, vol. 97, no. 16, 2762-2777 (2018).
- Y.
Amirat and R. Touzani, A circuit equation as a limit of eddy
current equations, Archive for Rational Mechanics and Analysis, vol. 226, no. 1, 405-440 (2017).
- Y.
Amirat and V.V. Shelukhin,
Homogenization of time
harmonic Maxwell equations: the effect of interfacial
currents, Mathematical
Methods in the Applied Sciences, vol.
40, no. 8, 3140-3162 (2017).
- Y.
Amirat and V.V. Shelukhin,
Homogenization of composite electrets, European
Journal of
Applied Mathematics, vol. 28, no. 2, 261-283 (2017).
- Y.
Amirat and K. Hamdache, Steady
state solutions of ferrofluid flow models, Communications
on Pure
and Applied Analysis, vol. 15,
no. 6, 2329-2355 (2016).
- Y.
Amirat, O. Bodart, G.A. Chechkin and A.L. Piatnitski,
Asymptotics of a spectral-sieve problem, Journal
of Mathematical Analysis and Applications, vol. 435, no. 2, 1652-1671 (2016).
- Y.
Amirat and K.
Hamdache, Strong solutions to the equations of electrically conductive
magnetic fluids, Journal
of Mathematical Analysis and Applications, vol. 421, no. 1, 75-104 (2015).
- Y.
Amirat, L. Chupin and R.
Touzani, Weak solutions to the equations of
stationary magnetohydrodynamic flows in porous media, Communications
on Pure
and Applied Analysis, vol. 13, no.
6, 2445-2464 (2014).
- Y.
Amirat and K. Hamdache, Global
weak solutions to the equations of thermal convection in micropolar
fluids
subjected to Hall current, Nonlinear
Analysis, Series
A: Theory, Methods & Applications, Vol. 102,
186-207 (2014).
- Y. Amirat
and V.V. Shelukhin, Nonhomogeneous incompressible Herschel-Bulkley
fluid flows between two eccentric cylinders, Journal
of Mathematical Fluid Mechanics, vol. 15, no. 4, 635-661 (2013).
- Y.
Amirat, O. Bodart, U. De Maio
and A. Gaudiello, Effective boundary condition for Stokes flow
over a very rough surface, Journal
of Differential Equations, vol. 254,
no. 8, 3395-3430 (2013).
- Y.
Amirat and K. Hamdache, Strong
solutions to the equations of flow and heat transfer in magnetic fluids
with internal rotations, Discrete and Continuous
Dynamical Systems - Series A (DCDS-A), vol. 33, no. 8, 3289-3320 (2013).
- Y. Amirat, G.A.
Chechkin and M. Romanov, On
multiscale homogenization
problems in boundary layer theory,
Zeitschrift für
Angewandte Mathematik und Physik, Vol. 63, no. 3, 475-502 (2012).
- Y.
Amirat and K. Hamdache, Heat
transfer in incompressible
magnetic fluid, Journal
of Mathematical Fluid Mechanics, Vol. 14, no. 2, 217-247 (2012).
- Y.
Amirat and
K. Hamdache, On
a heated incompressible
magnetic fluid model, Communications on
Pure and Applied Analysis, Vol.
11, no. 2, 675-696 (2012).
- Y.
Amirat
and V.V. Shelukhin,
Homogenization of time
harmonic Maxwell equations and the frequency dispersion effect, Journal de Mathématiques Pures et
Appliquées, 95, 420-443
(2011).
- Y.
Amirat, O. Bodart, G.A. Chechkin and A.L. Piatnitski, Boundary
homogenization in domains with randomly oscillating boundary, Stochastic Processes and their
Applications, 121, 1-23 (2011).
- Y.
Amirat and K. Hamdache, Unique
solvability of equations of motion for ferrofluids, Nonlinear Analysis, Series
A: Theory, Methods & Applications,
Vol.
73,
no. 2, 471-494 (2010).
- Y.
Amirat, G.A. Chechkin and R.R.
Gadyl'shin, Spectral
boundary
homogenization in
domains with
oscillating boundaries, Nonlinear Analysis: Real Word
Applications, Vol. 11,
no.
6,
4492-4499 (2010).
- Y.
Amirat and O. Bodart,
Stokes
equations with interface condition in an unbounded domain, Applicable
Analysis, Vol. 89, no. 1, 29-47
(2010).
- Y.
Amirat, G.A. Chechkin
and R.R. Gadyl'shin, Asymptotic approximation of
eigenelements of the
Dirichlet problem for
the
Laplacian in a domain with shoots,
Mathematical
Methods in the Applied Sciences, Vol.
33,
no. 7, 811-830
(2010).
- Y.
Amirat and V.V.
Shelukhin,
Homogenization of
the Poisson-Boltzmann equation, Advances
in Mathematical
Fluid Mechanics, New Directions in Mathematical Fluid
Mechanics, 23-40
(2009).
- Y.
Amirat and
K. Hamdache, Weak
solutions to
the
equations of motion for
compressible magnetic fluids, Journal
de Mathématiques
Pures et
Appliquées,
Vol. 91,
no. 5, 433-467 (2009).
- Y.
Amirat
and K. Hamdache, Strong
solutions to the
equations of a
ferrofluid flow model, Journal
of Mathematical Analysis and Applications, Vol. 353, no. 1,
271-294 (2009).
- Y.
Amirat, K. Hamdache and F. Murat,
Global weak
solutions to the equations of motion for
magnetic fluids, Journal
of Mathematical Fluid Mechanics, Vol. 10, no. 3,
326-351 (2008).
- Y.
Amirat, G.A. Chechkin
and R.R. Gadyl'shin, Asymptotics
of the solution of a Dirichlet
spectral problem in a junction with highly oscillating boundary,
Comptes
Rendus
Mécanique, Vol. 336, 9, 693-698
(2008).
- Y.
Amirat
and V.V. Shelukhin, Flow of electrolytes in a porous
medium, Journal of Applied
Mechanics
and Technical Physics, Vol. 49, no. 4, 655-665 (2008).
- Y.
Amirat and R. Touzani,
A
Two-dimensional eddy current model using thin
inductors, Asymptotic
Analysis, Vol. 58, no. 3, 171-188 (2008).
- Y.
Amirat
and V.V. Shelukhin,
Electroosmosis law via homogenization of
electrolyte flow equations in porous media, Journal of
Mathematical Analysis and Applications,
Vol. 342,
no. 2, 1227-1245 (2008).
- Y.
Amirat and
K. Hamdache, Global weak solutions to a ferrofluid flow model, Mathematical
Methods in the Applied Sciences, Vol.
31,
no. 2, 123-151
(2008).
- Y.
Amirat and V.V. Shelukhin, Global weak solutions to
equations of compressible
miscible flows in
porous media, SIAM Journal on
Mathematical
Analysis, Vol. 38, no. 6, 1825-1846
(2007).
- Y.
Amirat, G.A. Chechkin and R.R.
Gadyl'shin, Asymptotics for eigenelements of
Laplacian in a domain with oscillating boundary. Multiple eigenvalues,
Applicable
Analysis, Vol. 86, no. 7, 873-897
(2007).
- Y.
Amirat, O. Bodart, U. De Maio
and A. Gaudiello, Asymptotic approximation of the solution of Stokes
equations in a
domain with highly oscillating boundary, Annali
dell'Universita di Ferrara, Vol. 53, no. 2, 135-148
(2007).
- Y.
Amirat and V.V. Shelukhin, Global
solvability of the equations for compressible miscible flows in porous
media, Doklady
Mathematics, Vol. 75, no. 3, 390-394
(2007).
- Y.
Amirat and K. Hamdache, Sur quelques problèmes d’homogénéisation non
locale et de fluides en
milieu poreux : une contribution de Abdelhamid Ziani, Annales
Mathématiques Blaise
Pascal, Vol. 14, no. 2, 149-186
(2007).
