Publications

• 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 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). 

• Y. Amirat, G.A. Chechkin and R.R. Gadyl'shin, Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operator in a domain with oscillating boundary, Computational Mathematics and Mathematical Physics, Vol. 46, no. 1, 97-110 (2006). 

• Y. Amirat, O. Bodart, U. De Maio and A. Gaudiello, Asymptotic approximation of the solution of the Laplace equation in a domain with highly oscillating boundary, SIAM Journal on Mathematical Analysis, Vol. 35, no. 6, 1598-1616 (2004).

• Y. Amirat and A. Ziani, Asymptotic behavior of the solutions of an elliptic-parabolic system arising in flow in porous media, Zeitschrift für Analysis und ihre Anwendungen (Journal of Analysis and its Applications), Vol. 23, no. 2, 335-351 (2004). 

• Y. Amirat and A. Ziani, Global weak solutions for a nonlinear degenerate parabolic system modelling a one-dimensional compressible miscible flow in porous media, Bollettino dell'Unione Matematica Italiana, (8) 7-B, no. 1, 109-128 (2004). 

• Y. Amirat and O. Bodart. Numerical approximation of laminar flows over rough walls with sharp asperities, Journal of Computational and Applied Mathematics, Vol. 164-165, no. 1, 25-38 (2004). 

• Y. Amirat and A. Ziani, Classical solutions for a multicomponent flow model in porous media, Differential and Integral Equations, Vol. 17, no. 7-8, 893-920 (2004). 

• Y. Amirat and R. Touzani, Asymptotic behaviour of the inductance coefficient for thin conductors, Mathematical Models and Methods in Applied Sciences, 12, no. 2, 273-289 (2002). 

• Y. Amirat and O. Bodart, Boundary layer correctors for the solution of Laplace equation in a domain with oscillating boundary, Zeitschrift für Analysis und ihre Anwendungen (Journal of Analysis and its Applications), Vol. 20, no. 4, 929-940 (2001). 

• Y. Amirat, B. Climent, E. Fernandez-Cara and J. Simon, The Stokes equations with Fourier boundary conditions on a wall with asperities, Mathematical Methods in the Applied Sciences, Vol. 24, no. 5, 255-276 (2001). 

• Y. Amirat, D. Bresch, J. Lemoine and J. Simon, Effect of rugosity on a flow governed by Navier-Stokes equations, Quarterly of Applied Mathematics, Vol. LIX, no. 4, 769-785 (2001). 

• Y. Amirat and R. Touzani, Self-inductance coefficient for toroidal thin conductors, Nonlinear Analysis: Theory, Methods & Applications, Vol. 47, no. 5, 3295-3305 (2001). 

• Y. Amirat, B. Climent, E. Fernandez-Cara and J. Simon, Effet de la rugosité sur un fluide laminaire avec conditions de Fourier, Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics, Vol. 328, no. 8, 619-624 (2000). 

• Y. Amirat, D. Bresch, J. Lemoine and J. Simon, Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity, Rendiconti del Seminario Matematico della Università di Padova, Vol. 102, 341-365 (1999). 

• Y. Amirat and A. Ziani, Classical solutions of a parabolic-hyperbolic system modelling a three-dimensional compressible miscible flow in porous media, Applicable Analysis, Vol. 72, no. 1-2, 155-168 (1999).

• Y. Amirat and A. Ziani, Global weak solutions to a parabolic system modeling a one-dimensional compressible miscible flow in porous media, Journal of Mathematical Analysis and Applications, Vol. 220, no. 2, 697-718 (1998).

• Y. Amirat and Y.J. Peng, Global BV solutions for a model of multi-species mixture in porous media, Mathematical Modelling and Numerical Analysis, Vol. 32, no. 7, 877-895 (1998).

• Y. Amirat, Y.J. Peng, Global weak solutions for a three dimensional flow model for multi-species mixture in porous media, Mathematical Methods in the Applied Sciences, Vol. 21, no. 11, 1035-1048 (1998). 

• Y. Amirat, D. Bresch, J. Lemoine and J. Simon, A problem of exponential decay for  Navier-Stokes equations in the analysis of rugosity, Navier-Stokes Equations and Related Nonlinear Problems, eds. Amann et al., 1-14 (1998).
  

• Y. Amirat and J. Simon, Riblets and drag minimization, Contemporary Mathematics, 209, American Mathematical Society, Providence, R.I., 9-17 (1997). 

• Y. Amirat and J. Simon, Influence de la rugosité en hydrodynamique laminaire, Comptes Rendus de l'Académie des Sciences, Série I, Mathématique, Vol. 323, no. 3, 313-318 (1996). 

• Y. Amirat, K. Hamdache, A. Ziani, Mathematical Analysis for compressible miscible displacement models in porous media, Mathematical Models and Methods in Applied Sciences, Vol. 6, no. 6, 729-747 (1996). 

• Y. Amirat, K. Hamdache and A. Ziani, Existence globale de solutions faibles pour un système parabolique-hyperbolique intervenant en dynamique des milieux poreux, Comptes Rendus de l'Académie des Sciences, Série I, Mathématique, Vol. 321, no. 2, 253-258 (1995). 

• Y. Amirat and M. Moussaoui, Analysis of a one-dimensional model for compressible miscible flow in porous media, SIAM Journal on Mathematical Analysis, Vol. 26, no. 3, 659-674 (1995). 

• Y. Amirat, K. Hamdache and A. Ziani, On homogenization of ordinary differential equations and linear transport equations, Series Advances in Mathematics for Applied Sciences, Vol. 18, 29-50 (1994). 

• Y. Amirat, K. Hamdache and A. Ziani, Homogenization of degenerate wave equations with periodic coefficients, SIAM Journal on Mathematical Analysis, Vol. 24, no. 5, 1226-1253 (1993). 

• Y. Amirat, K. Hamdache and A. Ziani, Homogenization of parametrized families of hyperbolic problems, Proceedings of the Royal Society of Edinburgh, 120 A, no. 3-4,199-221 (1992).

• Y. Amirat, K. Hamdache and A. Ziani, Homogénéisation non locale pour des équations dégénérées à coefficients périodiques, Comptes Rendus de l'Académie des Sciences, Série I, Mathématique, Vol. 312, no. 13, 963-966 (1991). 

• Y. Amirat, K. Hamdache and A. Ziani, Homogenization of a model of compressible miscible flow in porous media, Bollettino dell'Unione Matematica Italiana, (7) 5-B, no. 2, 463-487 (1991). 

• Y. Amirat, K. Hamdache, A. Ziani, Kinetic formulation for a transport equation with memory, Communications in Partial Differential Equations, Vol. 16, no. 8, 1287-1311 (1991). 

• Y. Amirat, Ecoulements en milieu poreux n'obéissant pas à la loi de Darcy, Mathematical Modelling and Numerical Analysis, Vol. 25, no. 3, 273-306 (1991). 

• Y. Amirat, K. Hamdache and A. Ziani, Homogénéisation par décomposition en fréquences d'une équation de transport dans Rn, Comptes Rendus de l'Académie des Sciences, Série I, Mathématique, Vol. 312, no. 1, 37-40 (1991). 

• Y. Amirat, K. Hamdache and A. Ziani, Some results on homogenization of convection-diffusion equations, Archive for Rational Mechanics and Analysis, Vol. 114, no. 2, 155-178 (1991). 

• Y. Amirat, K. Hamdache and A. Ziani, Etude d'une équation de transport à mémoire, Comptes Rendus de l'Académie des Sciences, Série I, Mathématique, Vol. 311, no. 11, 685-688 (1990). 

• Y. Amirat, K. Hamdache and A. Ziani, Homogénéisation d'un modèle d'écoulements miscibles en milieu poreux, Asymptotic Analysis, Vol. 3, no. 1,  77-89 (1990). 

• Y. Amirat, K. Hamdache and A. Ziani, Comportement limite de modèles d'équations de convection-diffusion dégénérées, Comptes Rendus de l'Académie des Sciences, Série I, Mathématique, Vol. 310, no. 11, 765-768 (1990). 

• Y. Amirat, K. Hamdache and A. Ziani, Homogénéisation d'équations hyperboliques du premier ordre et application aux écoulements miscibles en milieu poreux, Annales de l'institut Henri Poincaré, Analyse non linéaire, Vol. 6, no. 5, 397-417 (1989). 

• Y. Amirat, A. El Kolli and A. Ziani, Evolution water coning problem, Trends in theory and practice of nonlinear differential equations, 27-30, Lecture Notes in Pure and Applied Mathematics, 90 (1984). 

• Y. Amirat and Y. Atik, Approximation numérique d'un problème à frontière libre, Comptes Rendus de l'Académie des Sciences, Série A-B, Vol. 286, no. 4, 203-206 (1978).