List of publications

 

 

0. B. Amaziane, L. Pankratov, A. Piatnitski, Homogenization
of a single phase flow in a porous medium containing a thin layer,
Mathematical Models and Methods in Applied Sciences (M3AS), 2006 (accepted for publication).

1. Amaziane B., Pankratov L.,
Homogenization of linear problems in domains weakly connected by a system
of "traps", Mathematical Methods in the Applied Sciences (M2AS), DOI 10.1002/mma.870,
2007.

2. Amaziane B., Antontsev S., Pankratov L.,
Homogenization of a class of nonlinear elliptic equations with
nonstandard growth, Comptes Rendus M\'ecanique,
V.335, N 3, pp. 138-143, 2007.

3. B. Amaziane, M. Goncharenko, L. Pankratov, Homogenization of
a convection--diffusion equation in perforated domains
with a weak adsobrption,
Zeitschrift f\"ur Angewandte Mathematik und Physik
(ZAMP), DOI 10.1007/s00033-006-5070-2, 2006.

4. B. Amaziane, L. Pankratov, A. Piatnitski, Homogenization of a
class of quasilinear elliptic equations in high-contrast fissured media,
Proceedings of the Royal Society of Edinburgh, 2006, vol. 136A, pp.1131--1155.

5. B. Amaziane, L. Pankratov, A. Piatnitski, Homogenization
of elliptic quasilinear equations with nonuniformly bounded coefficients,
Nonlinearity, 2006, v.19, N 12, pp. 2973--2988.

6. Amaziane B., Pankratov L., Homogenization
of a reaction--diffusion equation with Robin interface conditions,
Applied Mathematics Letters, 2006, V.19, N 11, pp. 1175--1179.

7. B. Amaziane, M. Goncharenko, L. Pankratov,
Homogenization of a degenerate triple porosity model with thin fissures
European Journal of Applied Mathematics, 2005,
V.16, N 3, pp. 335--359.

8. B. Amaziane, M. Goncharenko, L. Pankratov,
$\Gamma_D$--convergence for a class of quasilinear elliptic equations in
thin structures, Mathematical Methods in the Applied Sciences (M2AS), 2005,
vol. 28, N 15, pp. 1847--1865.

9. Bourgeat A., Pankratov L., Panfilov M.B.,
Study of the double porosity model versus the fissures thickness,
Asymptotic Analysis, 2004, V.38, N 2, pp. 129--141.

10. Amaziane B., Bourgeat A., Goncharenko M.,
Pankratov L., Characterization of the flow for a single fluid in
excavation damagedzone, Comptes Rendus M\'ecanique, 2004, v.332, N 1, pp.79--84.

11. Goncharenko M., Pankratov L.,
Homogenization of one elasticity problem in the domain with nets of
slender bars near surface, Comptes Rendus
M\'ecanique, 2003, v.331, N 12, pp.829--834.

12. Pankratov L., Piatnitski A., Rybalko V.,
Homogenized model of reaction--diffusion in a porous medium, Comptes Rendus
M\'ecanique, 2003, v.331, N 4, pp.253--258.

13. Pankratov L., Rybalko V., Asymptotic
analysis of a double porosity model with thin fissures, Mat. Sbornik, 2003,
v.194, N 1, pp. 121--146 (in russian); English translation : Sbornik: Mathematics, v.194, N 1,
pp.123--150.

14. Pankratov L., $\Gamma$--convergence of
nonlinear functionals in thin reticulated structures,
Comptes rendues de l'Acad\'emie des Sciences, s\'erie I, v.335, N 3, 2002, pp.315--320.

15. Pankratov L., Homogenization of parabolic
equations in domains of degenerating measure, Applicable
analysis, 2002, vol.81, pp.753--769.

16. Pankratov L., Piatnitski A., Nonlinear double
porosity type model, Comptes rendues
de l'Acad\'emie des Sciences, s\'erie I, 2002,
v.334, N 5, pp.435--440.

17. Goncharenko M.V., Pankratov L.S., Panfilov M.B.,
A model for filtration in an aperiodic medium with double porosity,
Doklady RAN, v.372, N 6, 2000, pp.766--769.

18. Khruslov E., Pankratov L., Homogenization of
the Dirichlet variational problems in Orlicz--Sobolev spaces,
Operator theory and applications, Fields Institute
communications, vol.25, AMS, Providence RI, 2000, pp.345--366.

19. Bourgeat A., Pankratov L., Homogenization of
reaction--diffusion equations in domains with "traps", in :
Proceedings of the International Conference "Porous Media : Physics, Modelling, Simulation", Ed.
A.Dmitrievsky, M.Panfilov, World Scientific, Singapore--New Jersey--London--Hong Kong, 2000,
pp.267--278.

20. Bourgeat A., Goncharenko M.V., Pankratov L.,
Panfilov M.B., A general double porosity model, Comptes rendues
de l'Acad\'emie des Sciences, s\'erie II b, 1999,
v.327, pp.1245--1250.

21.  Bourgeat A., Chueshov I.D., Pankratov L.,
Homogenization of attractors for semilinear parabolic equations
in domains with spherical traps, Comptes rendues
de l'Acad\'emie des Sciences, s\'erie I, 1999,
v.329, N 7, pp. 581--587.

22. Chueshov I.D., Pankratov L., Homogenization of
attractors of nonlinear hyperbolic equations with asymptotically
degenerating coefficients, Mat.sbornik, v.190, N 9, 1999, pp.99--126.
(en russe); English translation : Sbornik: Mathematics, v.190, N 9,
pp.1325--1352.

23. Khruslov E.Ya., Pankratov L.,
Homogenization of attractors of non--linear evolutionary equations,
Nonlinear Boundary Value Problems, vol.9, Donetsk, 1999, pp.75--83.

24. Pankratov L., Homogenization of a system of
semilinear parabolic equations with asymptotically
degenerating coefficients, Doklady NAN Ukraine, 1999, N 4, pp.42--46.
(en russe).

25.  Chueshov I.D., Pankratov L., Upper
semicontinuity of attractors of semilinear parabolic equations with asymptotically
degenerating coefficients, Mat. Fiz., Analiz, Geom., 1999, v.6, N 1/2, pp.158--
181.

26. Pankratov L., Homogenization of semilinear
parabolic equations with asymptotically degenerating coefficients,
Mat. Fiz., Analiz, Geom.,1998, v.5, N 3/4, pp.250--273.

27. Pankratov L., Homogenization of Ginzburg--
Landau heat flow equation in a porous medium, Applicable Analysis,
1998, 69, pp.31--45.

28. Bourgeat A., Pankratov L.,
Homogenization of semilinear parabolic equations in domains with
spherical traps, Applicable Analysis, 1997, 64,  pp. 303--317.

29.  Pankratov L., Homogenization of nonlinear
Neumann elliptic and parabolic problems, In : Mathematical Sciences and
Applications, Vol.9, Homogenization and Applications to Material Sciences,
1997, pp.341--353.

30. Pankratov L., Homogenization of quasilinear
parabolic equations in weakly--connected domains, Doklady NAN Ukraine,
1995, 12, pp.17--20 (in russian).

31. Pankratov L., Asymptotic behavior of the second
boundary value problem
solutions in domains with random thin channels, Mat. Fiz., Analiz,
Geometr., N 1, 1995, p.94--107 (in russian).

32. Khruslov E.Ya., Pankratov L., Homogenization of
boundary problems for Ginzburg--Landau equation in weakly connected
domains, In : Spectral Operator Theory  and Related Topics, Vol. 19
edited by V.A. Marchenko, AMS Providence, 1994, p.233--268.

33. Pankratov L., Homogenization of variational problems
in the domains with "accumulators", In : Utilization of mm and
sbmm waves, IRE NAN of Ukraine, 1993, p.64--69. (in russian).

34. Khruslov E.Ya., Pankratov L., The nonlinear Dirichlet
boundary value problem solutions asymptotic behavior in domains with
fine--grained boundary, Uspekhy Mat. Nauk, v. 45, N 4, 1990, p. 122 (in
russian).

35. Khruslov E.Ya., Pankratov L., The variational problems
solutions asymptotic behavior in domains with fine--grained boundary,
Doklady AN UkrSSR, N 2, 1990, p.19--22. (en russe).

36. Pankratov L., The asymptotic behavior of the solutions
of variational problems in domains with "accumulators", Teor. Func., Func. Anal. i
Prilozh., N 54, 1990, p.97--105. (en russe); Traduction anglaise : Journal of
Soviet Mathematics, Plenum Publishing Corporation, 1992,
v.58, pp.364--371.

37. Pankratov L., On the structure of the electromagnetic
pulse scattered by the layer of finite thickness, Radiotekhnika,
v.72, Vysha Skola, 1985, p.59--66. (in russian).

38. Balaklitskij I.M., Mogila A.A, Mytsenko I.M., Pankratov
L.S., Sologub V.G., The method of radar determination of tropospheric
parameters, USSR Patent N 1394937, 1988. (in russian).

39. Balaklitskij I.M., Mytsenko I.M., Pankratov L.,
The method of determination of the inverse layer height,
USSR Patent N 1593425, 1990. (in russian).

40. Krasnitskij Yu.S., Nechiporenko A.N., Pankratov L.,
Calculation of marine radar antenna of mm wave range which is the cut
from parabolic cylinder, In : Utilization of mm and sbmm waves, IRE NAN of
Ukraine, 1993, p.22--27. (in russian).

41. Belobrova M.V., Ivanov V.K., Kivva F.V., Pankratov
L.S., Salikov S.P., Comparison of different approaches for obtaining values
of boundary layer radio meteorological parameters, Turkish Journal of
Physics, 1995, v.19, N 3, p.480--484.