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Publications récentes

Articles récents

2021-

2016-2020

  • 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, Stationary 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 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).

2011-2015

  • 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 fluids, 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).

2006-2010

  • 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).