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35B27 Homogenization; partial differential equations in media with periodic structure (45 articles)

• Danielsson, Tatiana; Flodén, Liselott; Johnsen, Pernilla; Olsson Lindberg, Marianne: Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales. (English). Applications of Mathematics, vol. 69 (2024), issue 1, pp. 1-24
• Dehamnia, Abdelhakim; Haddadou, Hamid: Multiscale homogenization of nonlinear hyperbolic-parabolic equations. (English). Applications of Mathematics, vol. 68 (2023), issue 2, pp. 153-169
• Šilhánek, David; Beneš, Michal: Homogenization of the transport equation describing convection-diffusion processes in a material with fine periodic structure. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 239-248
• Marušić-Paloka, Eduard: Application of very weak formulation on homogenization of boundary value problems in porous media. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 975-989
• Ait Yahia, Mohamed Mourad Lhannafi; Haddadou, Hamid: A general homogenization result of spectral problem for linearized elasticity in perforated domains. (English). Applications of Mathematics, vol. 66 (2021), issue 5, pp. 701-724
• Boughammoura, Ahmed; Braham, Yousra: Homogenization of a three-phase composites of double-porosity type. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 45-73
• Danielsson, Tatiana; Johnsen, Pernilla: Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales. (English). Mathematica Bohemica, vol. 146 (2021), issue 4, pp. 483-511
• Johnsen, Pernilla; Lobkova, Tatiana: Homogenization of a linear parabolic problem with a certain type of matching between the microscopic scales. (English). Applications of Mathematics, vol. 63 (2018), issue 5, pp. 503-521
• Ainouz, Abdelhamid: Homogenization of a dual-permeability problem in two-component media with imperfect contact. (English). Applications of Mathematics, vol. 60 (2015), issue 2, pp. 185-196
• Graf, Isabell; Peter, Malte A.: Homogenization of a carcinogenesis model with different scalings with the homogenization parameter. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 163-184
• Persson, Jens: Homogenization of monotone parabolic problems with several temporal scales. (English). Applications of Mathematics, vol. 57 (2012), issue 3, pp. 191-214
• Franců, Jan; Svanstedt, Nils E M: Some remarks on two-scale convergence and periodic unfolding. (English). Applications of Mathematics, vol. 57 (2012), issue 4, pp. 359-375
• Serrano, Hélia: Homogenization of quadratic complementary energies: a duality example. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 165-173
• Ainouz, Abdelhamid: Homogenized double porosity models for poro-elastic media with interfacial flow barrier. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 357-365
• Essel, Emmanuel Kwame; Kuliev, Komil; Kulieva, Gulchehra; Persson, Lars-Erik: Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 305-327
• Nechvátal, Luděk: Homogenization with uncertain input parameters. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 393-402
• Franců, Jan: Modification of unfolding approach to two-scale convergence. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 403-412
• Svanstedt, Nils: Stochastic homogenization of a class of monotone eigenvalue problems. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 385-404
• Woukeng, Jean Louis: $\Sigma $-convergence of nonlinear monotone operators in perforated domains with holes of small size. (English). Applications of Mathematics, vol. 54 (2009), issue 6, pp. 465-489
• Svanstedt, Nils: Multiscale stochastic homogenization of convection-diffusion equations. (English). Applications of Mathematics, vol. 53 (2008), issue 2, pp. 143-155
• Flodén, Liselott; Olsson, Marianne: Homogenization of some parabolic operators with several time scales. (English). Applications of Mathematics, vol. 52 (2007), issue 5, pp. 431-446
• Silfver, Jeanette: On general two-scale convergence and its application to the characterization of $G$-limits. (English). Applications of Mathematics, vol. 52 (2007), issue 4, pp. 285-302
• Nechvátal, Luděk: Worst scenario method in homogenization. Linear case. (English). Applications of Mathematics, vol. 51 (2006), issue 3, pp. 263-294
• Malík, Josef: Instability of oscillations in cable-stayed bridges. (English). Applications of Mathematics, vol. 50 (2005), issue 6, pp. 503-525
• Holmbom, Anders; Svanstedt, Nils; Wellander, Niklas: Multiscale convergence and reiterated homogenization of parabolic problems. (English). Applications of Mathematics, vol. 50 (2005), issue 2, pp. 131-151
• Peter, Malte A.; Böhm, Michael: Scalings in homogenisation of reaction, diffusion and interfacial exchange in a two-phase medium. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 369-376
• Nechvátal, Luděk: Alternative approaches to the two-scale convergence. (English). Applications of Mathematics, vol. 49 (2004), issue 2, pp. 97-110
• Byström, Johan; Engström, Jonas; Wall, Peter: Bounds and numerical results for homogenized degenerated $p$-Poisson equations. (English). Applications of Mathematics, vol. 49 (2004), issue 2, pp. 111-122
• Malík, Josef: Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems. (English). Applications of Mathematics, vol. 49 (2004), issue 1, pp. 1-38
• Alexandre, Radjesvarane; Taha, Hassan: Propagation of electromagnetic waves in non-homogeneous media. (English). Applications of Mathematics, vol. 49 (2004), issue 3, pp. 201-225
• Vala, Jiří: The method of Rothe and two-scale convergence in nonlinear problems. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 587-606
• Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette; Simula, Leon: Some methods for calculating stiffness properties of periodic structures. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 97-110
• Wellander, Niklas: Homogenization of the Maxwell Equations: Case II. Nonlinear conductivity. (English). Applications of Mathematics, vol. 47 (2002), issue 3, pp. 255-283
• Franců, Jan: Homogenization of diffusion equation with scalar hysteresis operator. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 363-377
• Wellander, Niklas: Homogenization of the Maxwell equations: Case I. Linear theory. (English). Applications of Mathematics, vol. 46 (2001), issue 1, pp. 29-51
• Wall, Peter: Bounds and estimates on the effective properties for nonlinear composites. (English). Applications of Mathematics, vol. 45 (2000), issue 6, pp. 419-437
• Bang, Børre; Lukkassen, Dag: Application of homogenization theory related to Stokes flow in porous media. (English). Applications of Mathematics, vol. 44 (1999), issue 4, pp. 309-319
• Schmidt-Laine, C.; Edarh-Bossou, T. K.: Some results regarding an equation of Hamilton-Jacobi type. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 203-214
• Filo, Ján: A note on asymptotic expansion for a periodic boundary condition. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 83-92
• Svanstedt, Nils: A note on bounds for non-linear multivalued homogenized operators. (English). Applications of Mathematics, vol. 43 (1998), issue 2, pp. 81-92
• Wall, Peter: A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 245-257
• Holmbom, Anders: Homogenization of parabolic equations an alternative approach and some corrector-type results. (English). Applications of Mathematics, vol. 42 (1997), issue 5, pp. 321-343
• Franců, Jan: Homogenization of scalar hysteresis operators. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 111-122
• Lukkassen, Dag: On some sharp bounds for the off-diagonal elements of the homogenized tensor. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 401-406
• Franců, J.: Homogenization and correctors for nonlinear elliptic equations. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 167-170