Publications in scientific journals:
1. D. Lukkassen,
L.-E. Persson and P. Wall. On some sharp bounds for the
homoge-nized p-Poisson equation. Applicable
Anal., 58: 123-135, 1995. pdf
2. D. Lukkassen,
L.-E. Persson and P. Wall. Some engineering and
mathematical aspects on the homogenization method. J. Composite
Engineering, 5: 337-343,1995. pdf
3. P. Wall. A comparison of homogenization, Hashin-Shtrikman
bounds and the Halpin-Tsai equations. Apl. Mat., 42(4):
245-257, 1997. pdf
4. P. Wall. Some homogenization and corrector results for nonlinear monotone
operators. J. Nonlin. Math.
Physics, 5: 331-348, 1998. pdf
5. P. Wall. Optimal bounds
on the efective shear moduli for some nonlinear and
reiterated problems. Acta Sci. Math.,
65: 553-566, 1999. pdf
6. P. Wall. Bounds and
estimates on the efective properties for nonlinear
composites. Apl.
Mat., 45(6): 419-437, 2000. pdf
7. J.-L. Lions,
D. Lukkassen, L.-E. Persson and P. Wall. Reiterated homogenization of monotone operators. C. R.
Acad. Sci. Paris, t. 330, Serie I: 675-680, 2000.
pdf
8. J.-L. Lions,
D. Lukkassen, L.-E. Persson and P. Wall. Reiterated homogenization of nonlinear monotone operators. Chin.
Ann. of Math., 22(B): 1-12, 2001. pdf
9. D. Lukkassen
and P. Wall. On weak convergence of locally periodic
functions. J.Nonlin. Math. Physics., 9(1):
42-57, 2002. pdf
10. J. Byström, J. Engström and P. Wall. Reiterated
homogenization of degenerate nonlinear elliptic equations. Chin. Ann. of Math., Ser. B, 23(2), 2002.
pdf
11. G. Nguetseng, D. Lukkassen and P.
Wall. Two-scale convergence. Int. J. of Pure and Appl. Math.,
2(1): 35-86, 2002. pdf
12.
J. Byström, J. Engström and
P. Wall. Bounds
and numerical results for homogenized degenerated p-Poisson equations. Apl. Mat., 49(2):
111-122, 2004. pdf
13. J. Byström, J. Dasht and P. Wall. A numerical study
of the convergence in stochastic homogenization. J.
of Anal. and Appl., 2(3), 159-171,
2004. pdf
14. D. Lukkassen
and P. Wall. Two-scale convergence with respect to measures
and homogenization of monotone operators. J. of
Function Spaces and Applications, 3(2), 125-161, 2005. pdf
15. B. Grevholm, L.E. Persson and P.
Wall. A Dynamic model for education of doctoral students and guidance of
supervisors in research groups. Educational Studies
in Mathematics, Vol. 60, No.2, 145-170, 2005. pdf
16. J. Engström, L.E. Persson, A. L. Piatnitski and P. Wall. Homogenization of random
degenerated nonlinear operators. Glasnik
Matematicki, Vol. 41, No.1, 101-114, 2006. pdf
17. J. Byström, J. Engström and
P. Wall. Periodic approximation of elastic properties in random media. Advances in
Algebra and Analysis, Vol. 1, No.2, 103-113, 2006. pdf
18. L. E.
Persson, V. D. Stepanov and
P. Wall. Some
scales of equivalent weight characterizations of Hardy's inequality: the case
q<p. Math. Inequal. Appl.,
Vol. 10, No. 2, 267-279, 2007. pdf
19. P. Wall. Homogenization of Reynolds equation by two-scale convergence.
Chin. Ann. of Math. Ser. B, Vol. 28, No. 3, 363-374, 2007. pdf
20. D. Lukkassen,
A. Meidell and P. Wall. Bounds on
the effective behavior of a homogenized Reynold-type equation. Journal
of Function Spaces and Applications, Vol. 5, No, 2, 133-150, 2007.
pdf
21. A. Almqvist, D. Lukkassen, A. Meidell and P. Wall. New concepts of homogenization applied in
rough surface hydrodynamic lubrication, Internat.
J. Engrg. Sci., Vol 45, 139-154, 2007.
pdf
22. A. Almqvist, E. Essel, L. E. Persson and P. Wall. Homogenization of the unstationary
incompressible Reynolds equation, Trib. Int., Vol. 40, No. 9, 1344-1350,
2007. pdf
23. A. Almqvist, R. Larsson and P. Wall. The
homogenization process of the time dependent Reynolds equation describing
liquid flow. Tribologia - Finnish Journal of Tribology, Vol. 26. No.
4, 30-44, 2007. pdf
24. D. Lukkassen,
A. Meidell and Peter Wall. On the
conjugate of periodic piecewise harmonic functions, Netw. Heterog. Media, 3, 3, 633-646, 2008. pdf
25. D. Lukkassen,
A. Meidell and P. Wall, Mathematical analysis and
homogenization of the torsion problem, J.
Funct. Spaces Appl., 6, 2, 155-176, 2008.pdf
26. D. Lukkassen,
A. Meidell and P. Wall, Multiscale
homogenization of monotone operators, Discrete
and Continuous Dynamical Systems-Series A, 22, 3, 711-727, 2008.pdf
27. A. Almqvist,
E. K. Essel, J. Fabricius
and P. Wall, Variational bounds applied to unstationary hydrodynamic lubrication, Internat. J. Engrg. Sci., Vol. 46, No. 9, 891-906,
2008. pdf
28. A. Almqvist, E. K. Essel, J. Fabricius and P. Wall. Reiterated homogenization applied in
hydrodynamic lubrication, Proc. IMechE Vol. 222, Part
J: J. Engineering Tribology, 827-841,
2008.pdf
29. D. Lukkassen,
G. Nguetseng, H. Nnang and
P. Wall. Reiterated homogenization of nonlinear elliptic
operators in a general deterministic setting, J. Funct. Spaces Appl. 7 (2009), no. 2, 121-152.pdf
30. D. Lukkassen,
A. Meidell and P. Wall. Homogenization of some variational problems connected to the theory of
lubrication, Internat. J. Engrg. Sci. 47 (2009), no. 1, 153-162. pdf
31. D. Lukkassen,
A. Meidell and P. Wall. New methods
for estimating the torsional rigidity of composite bars, Internat. J. Engrg. Sci. 47 (2009), no. 3, 524-536. pdf
32. D. Lukkassen,
A. Meidell and P. Wall. A new
approach for estimating the friction in thin film lubrication, Math. Probl.
33. D. Lukkassen,
A. Meidell and P. Wall. Analysis of the effects of
rough surfaces in compressible thin film flow by homogenization, Internat. J. Engrg. Sci. 49 (2011), no. 5, 369-377.
http://dx.doi.org/10.1016/j.ijengsci.2010.10.005 pdf
34. Andreas Almqvist, Emmanuel Kwame Essel,
John Fabricius, and Peter Wall. Multiscale
homogenization of a class of nonlinear equations with applications in
lubrication theory, J. Funct. Spaces Appl. 9 (2011),
no. 1, 17-40. pdf
35. G. A. Chechkin, Yu.O. Koroleva, L. -E.Persson and P.
Wall. A new weighted Friedrichs-type inequality for a
perforated domain with a sharp constant, Eurasian
Mathematical Journal 2 (2011), no. 1, 81-103. pdf
36. A. Almqvist, J. Fabricius, A. Spencer and P. Wall. Similarities and differences between the flow factor method by Patir and Cheng and 5-9homogenization, Journal of Tribology, Transactions of the ASME 133 (2011), no. 3, 031702 (5 pages) doi:10.1115/1.4004078 pdf
2. A. Almqvist and P. Wall,
Homogenization of the Reynolds equation, Encyclopaedia of Tribology