Kamel Hamdache

@article{Hamdache2020,

title = { Weak Solutions to Unsteady and Steady Models of Conductive Magnetic Fluids },

author = {Kamel Hamdache et Djamila Hamroun},

editor = {Springer},

doi = {https://doi.org/10.1007/s00245-018-9505-x.},

year  = {2020},

date = {2020-11-01},

journal = {Applied Mathematics & Optimization},

volume = {81},

pages = {479-509},

abstract = {We study a nonlinear coupling system of partial differential equations describing the dynamic of a magnetic fluid with internal rotations. The present mathematical model generalizes those discussed previously in the literature since actually the fluid is electrically conducting inducing additional nonlinearities in the problem and the dynamics of the magnetic field is described by the quasi-static Maxwell equations instead of the usual magnetostatic ones. We prove existence of weak solutions with finite energy first for the unsteady problem then for the steady one.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2020b,

title = {Existence of large solutions to  the Landau-Lifshitz-Bloch equation},

author = {Kamel Hamdache et Djamila Hamroun},

editor = {International Press},

doi = {DOI: https://dx.doi.org/10.4310/CMS.2020.v18.n2.a9},

year  = {2020},

date = {2020-11-01},

journal = {Communications in Mathematical Sciences},

volume = {18},

number = {2},

pages = {487-513},

abstract = {In this work we discuss existence of solutions of the Landau–Lifshitz–Bloch equation describing the dynamics of the magnetization for the whole range of the temperature. By using energy method we prove global existence of strong solutions for given initial data, existence of time-periodic solutions as well as existence of steady state solutions of the equation.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2019,

title = {Weak solutions to stationary equations of heat transfer in a magnetic fluid},

author = {Kamel Hamdache et Youcef Amirat},

editor = {Americain Institut of Mathematical Sciences},

doi = {doi: 10.3934/cpaa.2019035},

year  = {2019},

date = {2019-11-01},

journal = {Communications of Pure and Applied Analysis},

volume = {18},

number = {2},

pages = {709-734},

abstract = {We consider the differential system describing the stationary heattransfer in a magnetic fluid in the presence of a heat source and an externalmagnetic field.  The system consists of the stationary incompressible Navier-Stokes equations, the magnetostatic equations and the stationary heat equa-tion.  We prove, for the differential system posed in a bounded domain ofR3and equipped with Fourier boundary conditions, the existence of weak solutionsby using a regularization of the Kelvin force and the thermal power.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2019b,

title = {Asymptotics behaviours for the Landau-Lifshitz-Bloch equation},

author = {Kamel Hamdache et Djamila Hamroun },

editor = {DergiPark},

doi = {https://doi.org/10.31197/atnaa.512065},

year  = {2019},

date = {2019-11-01},

journal = {Advances in the Theory of Nonlinear Analysis and its Applications},

volume = {3},

number = {4},

pages = {171-191},

abstract = {The Landau-Lifshitz-Bloch (LLB) equation is an interpolation between Bloch equation  valid for high temperatures and Landau-Lifshitz equation valid for low temperatures. Conversely in this paper, we discuss the behaviours of the solutions of (LLB) equation both as the temperature  goes to infinity or 0.  Surprisingly in the first case,  the

behaviour depends also on  the scaling of the damping parameter δδ and the volume exchange parameter aa. Three cases are considered and accordingly we get either a linear stationary equation, Bloch equation or Stokes equation.  As for the small temperature behaviour,   δδ and aa being independent of the temperature, we show that the limit of (LLB) equation  is  Landau-Lifshitz-Gilbert equation.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2018,

title = {Stationary solutions of a heated magnetic fluid model},

author = {Y. Amirat and K. Hamdache},

editor = {Taylor & Francis},

url = {https://www.tandfonline.com/doi/abs/10.1080/00036811.2017.1392013},

doi = {https://doi.org/10.1080/00036811.2017.1392013},

year  = {2018},

date = {2018-11-01},

journal = {Applicable Analysis},

volume = {97},

number = {16},

pages = {2762-2777},

abstract = {We consider the differential system which describes the steady flow and heat transfer of an incompressible viscous magnetic fluid in the presence of a heat source and an external magnetic field. The system consists of the stationary incompressible Navier–Stokes equations, the magnetostatic equations and the stationary heat equation. We prove, for the differential system posed in a bounded domain of and equipped with boundary conditions, the existence of weak solutions by using regularization of the Kelvin body force, linearization, and the Schauder fixed point theorem.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2018b,

title = {The appearance of memory effects for a conservative system },

author = {Kamel Hamdache et Luc Tartar},

editor = {Science Direct Elsevier},

doi = {https://doi.org/10.1016/j.na.2018.04.017},

year  = {2018},

date = {2018-11-01},

journal = {Nonlinear Analysis },

volume = {177},

number = {Part B},

pages = {532-542},

abstract = {We adapt and generalize to conservative systems the analysis of a model in Tartar (1989), a sequence of differential equations which in the limit gives an effective equation with a memory effect: our result is obtained under more realistic assumptions concerning the oscillations of the initial data and the coefficients.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2016e,

title = {Steady state solutions of ferrofluid flow models},

author = {Kamel Hamdache et Youcef Amirat},

editor = {Americain Institut of Mathematical Sciences},

doi = {doi: 10.3934/cpaa.2016039},

year  = {2016},

date = {2016-11-01},

journal = {Communications of Pure and Applied Analysis},

volume = {15},

number = {6},

pages = {2329-2356},

abstract = {We study two models of differential equations for the stationary flow of an incompressible viscous magnetic fluid subjected to an external magnetic field. The first model, called Rosensweig's model, consists of the incompressible Navier-Stokes equations, the angular momentum equation, the magnetization equation of Bloch-Torrey type, and the magnetostatic equations. The second one, called Shliomis model, is obtained by assuming that the angular momentum is given in terms of the magnetic field, the magnetization field and the vorticity. It consists of the incompressible Navier-Stokes equation, the magnetization equation and the magnetostatic equations. We prove, for each of the differential systems posed in a bounded domain of R3 and equipped with boundary conditions, existence of weak solutions by using regularization techniques, linearization and the Schauder fixed point theorem.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache2016,

title = {Global existence and long time behavior of solutions to a model of ferroelectric materials},

author = {Kamel Hamdache and Djamila Hamroun},

editor = {Elsevier},

doi = {10.1016/j.jmaa.2016.01.074},

year  = {2016},

date = {2016-01-01},

journal = {Journal of Mathematical  Analysis and  Applications.},

volume = {438},

pages = {668-700},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache62,

title = {Strong solutions to the equations of electrically conductive magnetic fluids},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2015},

date = {2015-01-01},

journal = {Journal of Mathematical Analysis and Applications},

volume = {421},

number = {1},

pages = {75--104},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache63,

title = {Global Weak Solutions to Magnetic Fluid Flows with Nonlinear MaxwellÐCattaneo Heat Transfer Law},

author = {Fatah. Aggoune and Kamel Hamdache and Djamila Hamroun},

year  = {2015},

date = {2015-01-01},

journal = {Journal of Mathematical Fluid Mechanics},

volume = {17},

number = {1},

pages = {103--127},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache65,

title = {A reduced model for the polarization in a ferroelectric thin wire},

author = {Antonio Gaudiello and Kamel Hamdache },

editor = {Springer Basel},

doi = {DOI 10.1007/s00030-015-0348-8},

year  = {2015},

date = {2015-01-01},

journal = {Nonlinear Differential Equations and Applications (NoDEA )},

volume = {22},

number = {6},

pages = {1883-1896},

abstract = {In this paper, starting from a non-convex and nonlocal 3D-variational model for the electric polarization in a ferroelectric material, via an asymptotic process we obtain a rigorous 1D-variational model for a thin wire.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache61,

title = {Global weak solutions to the equations of thermal convection in micropolar fluids subjected to Hall current.},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2014},

date = {2014-01-01},

journal = {Nonlinear Analysis},

volume = {102},

number = {1},

pages = {186--207},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache58,

title = {Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid},

author = {Kamel Hamdache and Basma Jaffal-Mourtada},

year  = {2013},

date = {2013-01-01},

journal = {MMAS},

volume = {36},

number = {4},

pages = {478--496},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache59,

title = {The polarization in a ferroelectric thin film: local and nonlocal limit problems},

author = {Antonio Gaudiello and Kamel Hamdache},

year  = {2013},

date = {2013-01-01},

journal = {ESAIM-COCV},

volume = {19},

pages = {657--667},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache60,

title = {Strong Solutions to the equations of flow and heat transfer in magnetic fluids with internal rotations},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2013},

date = {2013-01-01},

journal = {Discrete and Continuous Dynamical System-A},

volume = {33},

number = {8},

pages = {3289--3320},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Jaffal-Mourtada2012,

title = {Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid},

author = {Kamel Hamdache and Basma Jaffal-Mourtada },

doi = {10.1002/mma.2608},

year  = {2012},

date = {2012-06-21},

journal = {Math. Meth. Appl. Sci.},

volume = {36},

number = {4},

pages = {478-496},

abstract = {In this work, we consider the flow of a second grade fluid in a conducting domain of R3 and in the presence of a magnetic field. When the initial data are of arbitrary size, we prove that the solution of the magnetohydrodynamics problem exists for a small time and is unique. We also show the global existence of solutions for small initial data. },

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache56,

title = {On heated incompressible magnetic fluid model},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2012},

date = {2012-01-01},

journal = {Communication of Pure and Applied Analysis},

volume = {11},

number = {2},

pages = {675--696},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache57,

title = {Heat Transfer in Incompressible Magnetic Fluid},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2012},

date = {2012-01-01},

journal = {Journal of Mathematical Fluid Mechanics},

volume = {14},

number = {2},

pages = {217--247},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache53,

title = {Unique solvability of equations of motion for ferrofluids},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2010},

date = {2010-01-01},

journal = {Nonlinear Analysis Series A : TMA},

volume = {73},

pages = {471--494},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache54,

title = {Solutions to a nonlinear Poisson-Nernst-Planck system in an ionic channel},

author = {Lila Hadjadj and Kamel Hamdache and Djamila Hamroun},

year  = {2010},

date = {2010-01-01},

journal = {Mathematical Methods in Applied Sciences},

volume = {33},

number = {15},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache52,

title = {Weak solutions to the equations of motion for compressible magnetic fluids},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2009},

date = {2009-01-01},

journal = {Journal de Mathématiques Pures et Appliquées},

volume = {91},

pages = {433--467},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache55,

title = {Strong solutions to the equations of a ferrofluid flow model},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2009},

date = {2009-01-01},

journal = {Journal of Mathematical Analysis and Applications},

volume = {353},

pages = {271--294},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache48,

title = {Global weak solutions to equations of motion for magnetic fluids},

author = {Youcef Amirat and Kamel Hamdache and François, Murat},

year  = {2008},

date = {2008-01-01},

journal = {Journal of Mathematical Fluid Mechanics},

pages = {1--26},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache49,

title = {Global weak solutions to a ferrofluid flow model},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2008},

date = {2008-01-01},

journal = {Mathematical Method. in the Applied Sciences},

volume = {31},

pages = {123--151},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache50,

title = {On a reaction-diffusion model for calcium dynamics in dendritic spines},

author = {Kamel Hamdache and Mauricio Labadie},

year  = {2008},

date = {2008-01-01},

journal = {Nonlinear Analysis : Real World Applications},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache51,

title = {An existence result to a strongly coupled degenerated system arising in tumor modeling},

author = {Lila Hadjadj and Kamel Hamdache and Djamila Hamroun},

year  = {2008},

date = {2008-01-01},

journal = {Abstract and Applied Analysis},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache46,

title = {Asymptotics of time harmonic solutions to a thin ferroelectric model.},

author = {Naïssa, Aïssa and Kamel Hamdache},

year  = {2007},

date = {2007-01-01},

journal = {Abstract and Applied Analysis},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache47,

title = {Sur quelques problèmes dhomogénéisation non locale et de fluides en mileux poreux : une contribution de Abdelhamid Ziani.},

author = {Youcef Amirat and Kamel Hamdache},

year  = {2007},

date = {2007-01-01},

journal = {Annales Mathématiques Blaise Pascal},

volume = {14},

pages = {149--186},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache44,

title = {The Landau-Lifshitz equations and the damping parameter},

author = {Kamel Hamdache and Mouhcine Tilioua},

year  = {2006},

date = {2006-01-01},

journal = {Bulletino U.M.I},

volume = {8 9B},

number = {2},

pages = {283--297},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache45,

title = {On a model of magnetization switching by spin-polarized current.},

author = {Kamel Hamdache and Djamila Hamroun and Mouhcine Tilioua},

year  = {2006},

date = {2006-01-01},

journal = {Japan Journal of Industrial and Applied Mathematics},

volume = {23},

number = {1},

pages = {105--125},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache42,

title = {Time harmonic solutions to a model of ferroelectric materials},

author = {Kamel Hamdache and Isabelle Ngningone-Eya},

year  = {2005},

date = {2005-01-01},

journal = {Applicable Analysis},

volume = {84},

number = {7},

pages = {721--736},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache43,

title = {Ferromagnets with biquadratic exchange coupling energy. Global existence of weak solutions},

author = {Kamel Hamdache and Djamila Hamroun and Mouhcine Tilioua},

year  = {2005},

date = {2005-01-01},

journal = {Math Methods in Applied Sciences},

volume = {28},

pages = {1403--1421},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache40,

title = {Interlayer exchange coupling for ferromagnets through spacers},

author = {Kamel Hamdache and Mouhcine Tilioua},

year  = {2004},

date = {2004-01-01},

journal = {SIAM Journal of Applied Mathematics},

volume = {64},

number = {3},

pages = {1077--1097},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache41,

title = {Local solutions to a model of piezoelectric materials},

author = {Kamel Hamdache and Djamila Hamroun},

year  = {2004},

date = {2004-01-01},

journal = {Mathematical Methodes in Applied Sciences},

volume = {27},

pages = {1657--1670},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache39,

title = {Global existence and regularity of solutions to a system of nonlinear Maxwell equation},

author = {Habib Ammari and Kamel Hamdache},

year  = {2003},

date = {2003-01-01},

journal = {Journal of Mathematical Analysis and Applications},

volume = {286},

number = {1},

pages = {51--63},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache33,

title = {Analysis of thin coating of nonlinear diffraction gratings},

author = {Habib Ammari and Gang Bao and Kamel Hamdache},

year  = {2002},

date = {2002-01-01},

journal = {Journal of Nonlinear Analysis, Real World Applications},

volume = {3},

number = {4},

pages = {487--502},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache37,

title = {Global weak solutions via a transport-projection scheme to a thin film growth kinetic model},

author = {Insaf, Bouzouba and Kamel Hamdache and Ahmed Noussair},

year  = {2002},

date = {2002-01-01},

journal = {SIAM J. Numerical Analysis},

volume = {39},

number = {5},

pages = {1810--1834},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache36,

title = {On the zero thickness limit for thin ferromagnet films with surface anisotropy},

author = {Kamel Hamdache and Mouhcine Tilioua},

year  = {2001},

date = {2001-01-01},

journal = {Math. Models Methods Appl. Sci},

volume = {11},

number = {8},

pages = {1469--1470},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache34,

title = {Gobal existence of solutions to a coupled coagulation system},

author = {Insaf Bouzouba and Kamel Hamdache and Ahmed Noussair},

year  = {2000},

date = {2000-01-01},

journal = {Applicable Analysis},

volume = {74},

number = {1-2},

pages = {165--183},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache35,

title = {Asymptotic behaviour of thin ferromagnetic films},

author = {Habib Ammari and Laurence Halpern and Kamel Hamdache},

year  = {2000},

date = {2000-01-01},

journal = {Asymptotic Analysis},

volume = {24},

number = {3-4},

pages = {277--294},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache32,

title = {Chirality in the Maxwell equations by the dipole approximation},

author = {Habib Ammari and Kamel Hamdache and Jean Claude Nédélec},

year  = {1999},

date = {1999-01-01},

journal = {SIAM Jour. Appl. Math},

volume = {59},

number = {6},

pages = {1-13},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache29,

title = {Asymptotic analysis of transient Vlasov-Poisson system for plane diode},

author = {Fatiha Alabau and Kamel Hamdache and Yu June Peng},

year  = {1998},

date = {1998-01-01},

journal = {Asymptotic Anal},

volume = {16},

number = {1},

pages = {25--48},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache31,

title = {Gobal existence and large time behaviour of solutions for the Vlasov-Stokes equations},

author = {Kamel Hamdache},

year  = {1998},

date = {1998-01-01},

journal = {Japan Journal of Ind. and Appl. Sci},

volume = {15},

number = {1},

pages = {51-74},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache11,

title = {Homogénéisation d'un modèle de coques minces},

author = {Kamel Hamdache and Evariste Sanchez-Palencia},

year  = {1997},

date = {1997-01-01},

journal = {CRAS Paris.Série I},

volume = {325},

number = {2},

pages = {683--688},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache27,

title = {Mathematical analysis for compressible miscible displacement in porous media},

author = {Youcef Amirat and Kamel Hamdache and Abdelhamid Ziani},

year  = {1996},

date = {1996-01-01},

journal = {Mathematical Mod.and Meth. in Appl.},

volume = {6},

number = {6},

pages = {729--747},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache28,

title = {Homogenisation of transport kinetic equations with oscillating potentials},

author = {Emmanuel Frénot and Kamel Hamdache},

year  = {1996},

date = {1996-01-01},

journal = {Proc. Royal Soc. of Edinburgh},

volume = {126A},

number = {1},

pages = {1247--1275},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache10,

title = {Existence globale de solutions faibles pour un système parabolique-hyperbolique intervenant en dynamique des milieux poreux},

author = {Youcef Amirat and Kamel Hamdache and Abdelhamid Ziani},

year  = {1995},

date = {1995-01-01},

journal = {CRAS Paris.Série I},

volume = {321},

number = {2},

pages = {253--258},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache23,

title = {Initial boundary value problem for Boltzmann equation. Global existence of weak solutions},

author = {Kamel Hamdache},

year  = {1993},

date = {1993-01-01},

journal = {Arch. Rat. Mech. Anal.},

volume = {113, % number = 5},

pages = {309--353},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache24,

title = {Homogenization of degenerate wave equations with periodic coefficients},

author = {Youcef Amirat and Kamel Hamdache and Abdelhamid Ziani},

year  = {1993},

date = {1993-01-01},

journal = {SIAM J.Math. Anal.},

volume = {24},

number = {5},

pages = {1226--1253},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hamdache7,

title = {Homogénéisation d'équations cinétiques en milieux poreux},

author = {Radja Alexandre and Kamel Hamdache},

year  = {1991},

date = {1991-01-01},

journal = {CRAS Paris.Série I},

volume = {313},

number = {5},

pages = {339--344},

keywords = {},

pubstate = {published},

tppubtype = {article}

}