PUBLICATIONS


Mémoire d'Habilitation à  diriger des recherches


Publications de rang A  :

[A1] G. Carbou, Regularity for a non linear variational problem in dimension two,
Manuscripta math, 78 (1993), 37-56.

[A2] G. Carbou, Unicité et minimalité des solutions d'une équation de Ginzburg-Landau,
Ann. Inst. Henri Poincaré, Analyse non linéaire 3 (1995), 305-318

[A3] G. Carbou,  Regularity for critical points of a non local energy,
Calculus of Variations 5 (1997), 409-433.

[A4] G. Carbou, P. Fabrie, Time Average in Micromagnetism,
J. Differential Equations 147 (1998), 383--409

[A5] G. Carbou, P. Fabrie, Regular Solutions for Landau-Lifschitz equations in a bounded domain
Differential Integral Equations 14 (2001), 213--229.

[A6] G.  Carbou, P. Fabrie, Regular Solutions for Landau-Lifschitz equations in R^3
 Commun. Appl. Anal. 5 (2001), no.1, 17--30.

[A7] G. Carbou, Thin layers in Micromagnetism,
Math. Models and Meth. in Applied Sciences  11 (2001), 1529--1546

[A8] V. Bruneau, G. Carbou, Spectral asymptotic in Large Limit Coupling,
 Asymptot. Anal. 29 (2002), no.2, 91--113.

[A9] G. Carbou, P. Fabrie, O. Guès, Couche limite en ferromagnetisme,
Comm. Partial Differential Equations 27 (2002),  no. 7-8, 1467--1495.

[A10] G. Carbou, P. Fabrie, Boundary layers for a penalisation method for incompressible flow,
Adv.  Differential Equations 8 (2003), no. 12, 1453--1480.

[A11] G. Carbou, Penalization method for viscous incompressible flow around a porous thin layer,
Nonlinear Anal. Real World Appl. 5 (2004) no. 5, 815--855.

[A12] G. Carbou, P. Fabrie, O. Guès, On the ferromagnetism equations in the non static case,
Comm. Pure Appli. Anal. 3 (2004), no. 3, 367--393.

[A13] G. Carbou, S. Labbé, Stability for Static wall in a ferromagnetic Nanowire,
Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 2, 273--290.

[A14]  G. Carbou, B. Hanouzet, Relaxation approximation of some nonlinear Maxwell initial-boundary value problem,
Commun. Math. Sci. 4 (2006), no. 2, 331--344.

[A15] G. Carbou, Brinkmann Model and Double Penalization Method for the flow around a Porous Thin Layer ,
J. Math. Fluid Mech. 10 (2008), no. 1, 126--158.

[A16]  G. Carbou, B. Hanouzet, Relaxation Approximation of some Initial-Boundary Value Problem for p-Systems,  
Communications in Math. Sciences 5 (2007), no. 1, 187--203.

[A17] G. Carbou, S. Labbé, E. Trélat, Control of travelling walls in a ferromagnetic nanowire.
Discrete Contin. Dyn. Syst. Ser S 1 (2008), no. 1, 51--59.

[A18] G. Carbou, Brinkmann model and double penalization method for the flow around a porous thin layer.
J. Math. Fluid Mech. 10 (2008), no. 1, 126--158.

[A19] G. Carbou, B. Hanouzet, R. Natalini,  Semilinear Behavior for Totally Linearly Degenerate Hyperbolic Systems with Relaxation.
J. Differential Equations 246 (2009), no. 1, 291--319.

[A20] G. Carbou, S. Labbé, E. Trélat, Smooth control of nanowires by means of a magnetic field.
Commun. Pure Appli. Anal. 8 (2009), no. 3, 871--879.

[A21] G. Carbou, M. Effendiev, P. Fabrie, Relaxed model for the hysteresis in micromagnetism
Proc. Roy. Soc. Edinbugh Sect. A 139 (2009) no. 4, 759--773.

[A22] G. Carbou, B. Hanouzet, Relaxation approximation of the Kerr model for the three-dimensional initial-boundary value problem.
J. Hyperbolic Differ. Equ. 6 (2009), no. 3, 577--614.

[A23] G. Carbou, Stability of static walls for a three-dimensional model of ferromagnetic material.
J. Math. Pures Appl. 93 (2010), no.2, 183--203.

[A24] G. Carbou, S. Labbé, Stabilization of Walls for Nano-Wires of Finite Length, à paraître dans SIAM J. of Applied Math.

[A25] G. Carbou, M. Effendiev, P. Fabrie, Global weak solutions for tha Landau-Lifschitz Equation with Magnetostriction, à paraître dans Mathematical Methods in the Applied Sciences.

[A26] S. Agarwal, G. Carbou, S. Labbé, C. Prieur, Control of a network of magnetic ellipsoidal samples, à paraître dans Mathematical Control and Related fields.

 
Publications de rang B  :

[B1] G. Carbou,  Applications harmoniques à  valeurs dans un cercle.
C.R. Acad. Sci. Paris Sér. I Math. 314 (1992), 359-362.

[B2] G. Carbou, P. Fabrie, Comportement asymptotique des solutions faibles des équations de Landau-Lifschitz,
C.R.  Acad. Sci. Paris, série I, 325 (1997), 717-720.

[B3] G. Carbou, Modèle quasi-stationnaire en micromagnétisme,
C.R.   Acad. Sci. Paris, série I, 325 (1997), 847-850.

[B4] G. Carbou, P. Fabrie, F. Jochmann, A Remark on the weak omega-limit set for Micromagnetism Equation,
Applied Math. Letter 15 (2001), no. 1, 95 -- 99

[B5] G. Carbou, B. Hanouzet, Comportement semi-linéaire d'un système hyperbolique quasi-linéaire : le modèle de Kerr-Debye,
C.R. Acad. Sci. Paris, série I, 343 (2006), 243-247.


Publications de rang C  :

[C1] G. Carbou,  Quelques résultats théoriques sur les équations de Landau-Lifschitz, 
Colloque d'Analyse Numérique, Arles 1998, Symposium sur le Micromagnétisme.

[C2] G. Carbou, P. Fabrie, Recent results in micromagnetism,
International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999), 738--740.

[C3] G. Carbou, P. Fabrie, O. Guès,  Boundary Layers for Landau-Lifschitz Equations, 
Physica B, 343 (2004) 331--336 (actes du congrès Hysteresis and Micromagnetism Modeling, Salamanca 2003)

[C4] G. Carbou, S. Labbé,  Stability for walls in Ferromagnetic Nanowire,
Numerical Mathematics and Advanced Application, Proceedings of Enumath 2005, Santiago de Compostela, Spain, July 2005, Springer.

[C5] G. Carbou, B. Hanouzet, Relaxation Approximation of the Kerr-Debye Model for the Impedance Initial-Boundary Value Problem,  
Discrete Contin. Dyn. Syst. Supplement  (2007), 212--220.

Grenoble 2011

Philadelphie 2008

Marseille 2008

Rome 2007


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