JOURNAL ARTICLES
2007
1.
A. Belmiloudi. Analysis of the impact of nonlinear heat transfer laws on
temperature distribution in irradiated biological tissues: mathematical models
and optimal controls, J. Dynam. Contr. Systems, vol. 13, No. 2,
217-254, 2007.
2.
A. Belmiloudi. Bilinear minimax control
problems for a class of parabolic systems with applications to control of
nuclear reactors, J. Math. Anal. Appl., vol. 327, No.
1, 620-642, 2007.
2006
3.
A. Belmiloudi, F. Mahé. Numerical resolution of
long waves in a Shallow-Water type model, Inter. Journal of Nonlinear
Sci .Numerical Simulation, (To appear).
4.
A. Belmiloudi. Robust
control problems of vortex dynamics in superconducting films with
Ginzburg-Landau complex systems, Abstract and Applied Analysis, vol.
2006, Article ID 26724, 43 pages , 2006.
5.
A. Belmiloudi. On some control problems
for heat transfer systems in perfused biological tissues, WSEAS Transactions
on Systems, vol.5, No.1, 17-25, 2006.
6.
A. Belmiloudi. Minimax
control problem of periodic competing parabolic systems with logistic growth
terms, Inter. Journal of Control, vol.79, No.2, 150-161, 2006.
2005
7.
A. Belmiloudi, J.P. Yvon. Robust control of a
non-isothermal solidification model, WSEAS Transactions on Systems, vol.4,
No.12, 2291-2300, 2005.
8.
A. Belmiloudi. Nonlinear optimal control
problems of degenerate parabolic equations with logistic time-varying delays of
convolution type, Nonlinear Analysis: Theory, Methods and Applications,
63, 1126-1152, 2005.
9.
A. Belmiloudi, G. Le
Meur. Mathematical and numerical analysis
of dehydration of gypsum plasterboards exposed to fire, Appl. Math.
Comput., vol .163, No.3, 1023-1041, 2005.
10. A.
Belmiloudi. Optimal
control problems of nonlinear degenerate parabolic differential systems with
logistic time-varying delays, IMA. J. Contr. Inf., vol.22, No.1,
88-108, 2005.
2004
11. A. Belmiloudi. Robust
and optimal control problems to a phase-field model for the solidification of a
binary alloy with a constant temperature, J. Dynam. Contr.
Systems, vol. 10, No. 4, 453-499, 2004.
12. A. Belmiloudi. On some
robust control problems for nonlinear parabolic equations, Inter. J. of
Pure and Appl. Math., vol.11, No.2, 119-151, 2004.
2003
13. A. Belmiloudi. Robust
control problems associated with time-varying delays nonlinear parabolic
equations, IMA. J. Contr. Inf., vol.20, No.3, 305-334, 2003.
14. A. Belmiloudi. Nonlinear
robust control problems of parabolic type equations with time-varying delays
given in the integral form, J. Dynam. Contr. Systems, vol.9,
No.4, 469-512, 2003.
2002
15. A. Belmiloudi. Mathematical
analysis and optimal control problems for the perturbation of the primitive
equations of the ocean with vertical viscosity, J. Appl. Anal., vol.8,
No.2, 153-200, 2002.
16. A. Belmiloudi. Robin-type boundary
control problems for the nonlinear Boussinesq type equations. J. Math. Anal.
Appl., vol.273, No.2, 428-456, 2002.
2001
17. A.
Belmiloudi. Existence
and characterization of an optimal control for the problem of long waves in a
Shallow-Water model. SIAM J. Control Optim., vol.39, No.5, 1558-1584,
2001.
2000
18. A. Belmiloudi. Asymptotic
behaviour of the perturbation of the primitive equations of the ocean with
vertical viscosity.The Cana. Appl. Math.Quarterly, vol.8, No.2, 97-140,
2000.
19. A. Belmiloudi. Regularity
results and optimal control problems for the perturbation of Boussinesq equations
of the ocean. Num. Func. Anal. Opti., vol.21, No 5 & 6, 623-651,
2000.
1999
20. A. Belmiloudi,
F.Brossier, L.Monier. Mathematical
and numerical modelization of large-scale oceanic waves. Math. Meth.
Appl. Sci., vol.22, 967-999, 1999.
21. A. Belmiloudi. A nonlinear
optimal control problem for assimilation of surface data in a Navier-Stokes
type equations related to oceanography. Num. Func. Anal. Opti., vol.20,
No 1 & 2, 1-26, 1999.
1997
22. A. Belmiloudi,
F.Brossier. Regularity
results for a Navier-Stokes type problem related to oceanography. Acta.
Appl. Math., vol.48, No.3, 299-316, 1997.
23. A. Belmiloudi,
F.Brossier. A
control method for assimilation of surface data in a linearized Navier-Stokes
type problem related to oceanography. SIAM J. Control Optim., vol.35,
No.6, 2183-2197, 1997.
24. A. Belmiloudi,
J.P. Yvon. Optimal control of a non-isothermal solidification model,
Proceedings of the WSEAS Inter. Conf. on Dynamical System and Control, Venice,
Italy, pp. 1-6, 2005 (Invited paper).
25. A. Belmiloudi. Optimal
control related to effects of microwave heating on thermal states of biological
bodies, Proceedings of the WSEAS Inter. Conf. on Dynamical System and
Control, Venice, Italy, pp. 7-12, 2005 (Invited paper).
26. G. Le Meur, A. Belmiloudi. Etude numérique de la déshydratation d'une
plaque de gypse exposée au feu, Proceedings of the "Congrès Français
de Thermique" : Transferts en Milieux Hétérogènes, (Abstract), Presqu'île
de Giens, 2004.
27. A. Belmiloudi. Optimal
control problems of nonlinear parabolic systems with logistic time-varying
delays, Inter. workshop on Shape optimization in life sciences and
environment (Abstract), Toulouse, 2004.
28. A. Belmiloudi. Analysis of
robust control problems for a quasilinear parabolic equations, Proceedings
of the 9th IEEE MMAR Miedzyzdroje, POLAND, IEEE Control Society, 99-108, 2003, abstract (Invited
paper).
29. A. Belmiloudi. Mathematical
and computional methods of an optimal control for the primitive equations in a
coupled atmosphere-ocean model, Proceedings of the 9th IEEE MMAR ,
Miedzyzdroje, POLAND, IEEE Control Society, 87-96, 2003, abstract (Invited
paper).
30. A. Belmiloudi. Studies in
Robin-type boundary control problems for the primitive equation of the ocean.
Proceedings of the 8th IEEE MMAR, Szczecin, POLAND, IEEE Control Society,
159-166, 2002, abstract
(Invited paper).
31. A. Belmiloudi. Studies
in linear and nonlinear optimal control problems for viscous flows equations.
Application of mathematics in Engineering. Proceedings of the XXVI Summer
School Sozopol, eds.B.I. Cheshankov and M.D. Todorov, Heron Press, Sofia,
181-188, 2001.
32. A. Belmiloudi. On some
control problems in a shallow-water model. Proceedings of the 40th IEEE
CDC, Orlando, Florida, IEEE Control Society, 4956-4961, 2001, abstract (Paper
proposed by SIAM).
33. A. Belmiloudi. Resolution of
optimal control problem for a perturbation linearized Navier-Stokes type
equations. Application of mathematics in Engineering and Business Sozopol.
Proceedings of the XXII Summer School, Sofia, 39-51, 1996, abstract (Invited
paper).
34. A. Belmiloudi. Method of characteristics
and error estimates of the perturbation of given mean flow. Application of
mathematics in Engineering and Business Sozopol. Proceedings of the XXII Summer
School 25-38, 1996, abstract
(Invited paper).
35. A.Belmiloudi, J-L.
Merrien. New collocation methods for differential equations, 2000
(18 pp).
36. A.Belmiloudi, F.
Brossier. Numerical study of a control method computing an oceanic
circulation from the observed surface pressure. IRMAR Publication, No.
00-53, 2000 (25 pp).
37. A.Belmiloudi. Discretization
of the perturbation of a given mean flow: convergence, stability and error
estimates. LANS publication.,
vol.66, 1996 (37 pp).