Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales
Tatiana Danielsson; Pernilla Johnsen
Mathematica Bohemica (2021)
- Volume: 146, Issue: 4, page 483-511
- ISSN: 0862-7959
Access Full Article
topAbstract
topHow to cite
topReferences
top- Allaire, G., Briane, M., 10.1017/S0308210500022757, Proc. R. Soc. Edinb., Sect. A 126 (1996), 297-342. (1996) Zbl0866.35017MR1386865DOI10.1017/S0308210500022757
- Allaire, G., Piatnitski, A., 10.1007/s11565-010-0095-z, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 56 (2010), 141-161. (2010) Zbl1205.35019MR2646529DOI10.1007/s11565-010-0095-z
- Bensoussan, A., Lions, J.-L., Papanicolaou, G., 10.1016/s0168-2024(08)x7015-8, Studies in Mathematics and Its Applications 5. North-Holland Publishing, Amsterdam (1978). (1978) Zbl0404.35001MR0503330DOI10.1016/s0168-2024(08)x7015-8
- Danielsson, T., Johnsen, P., Homogenization of the heat equation with a vanishing volumetric heat capacity, Available at https://arxiv.org/abs/1809.11019 (2018), 14 pages. (2018)
- Danielsson, T., Johnsen, P., 10.1007/978-3-030-27550-1_43, Progress in Industrial Mathematics at ECMI 2018 Mathematics in Industry 30. Springer, Cham (2019), 343-349. (2019) DOI10.1007/978-3-030-27550-1_43
- Douanla, H., Woukeng, J. L., Homogenization of reaction-diffusion equations in fractured porous media, Electron. J. Differ. Equ. 2015 (2015), Article ID 253, 23 pages. (2015) Zbl1336.35046MR3414107
- Flodén, L., Holmbom, A., Lindberg, M. Olsson, 10.1155/2012/643458, J. Funct. Spaces Appl. 2012 (2012), Article ID 643458, 9 pages. (2012) Zbl1242.35030MR2875184DOI10.1155/2012/643458
- Flodén, L., Holmbom, A., Olsson, M., Persson, J., 10.1016/j.aml.2010.05.005, Appl. Math. Lett. 23 (2010), 1170-1173. (2010) Zbl1198.35023MR2665589DOI10.1016/j.aml.2010.05.005
- Flodén, L., Holmbom, A., Lindberg, M. Olsson, Persson, J., 10.1155/2013/329704, Abstr. Appl. Anal. 2013 (2013), Article ID 329704, 6 pages. (2013) Zbl1293.35027MR3111807DOI10.1155/2013/329704
- Flodén, L., Holmbom, A., Lindberg, M. Olsson, Persson, J., 10.1155/2014/101685, J. Appl. Math. 2014 (2014), Article ID 101685, 16 pages. (2014) Zbl1406.35140MR3176810DOI10.1155/2014/101685
- Holmbom, A., 10.1023/A:1023049608047, Appl. Math., Praha 42 (1997), 321-343. (1997) Zbl0898.35008MR1467553DOI10.1023/A:1023049608047
- Johnsen, P., Lobkova, T., 10.21136/AM.2018.0350-17, Appl. Math., Praha 63 (2018), 503-521. (2018) Zbl06986923MR3870146DOI10.21136/AM.2018.0350-17
- Lobkova, T., 10.1007/s10255-019-0810-1, Acta Math. Appl. Sin., Engl. Ser. 35 (2019), 340-358. (2019) Zbl1416.35032MR3950176DOI10.1007/s10255-019-0810-1
- Lukkassen, D., Nguetseng, G., Wall, P., Two-scale convergence, Int. J. Pure Appl. Math. 2 (2002), 35-86. (2002) Zbl1061.35015MR1912819
- Nguetseng, G., 10.1137/0520043, SIAM J. Math. Anal. 20 (1989), 608-623. (1989) Zbl0688.35007MR0990867DOI10.1137/0520043
- Nguetseng, G., 10.1137/0521078, SIAM J. Math. Anal. 21 (1990), 1394-1414. (1990) Zbl0723.73011MR1075584DOI10.1137/0521078
- Nguetseng, G., Woukeng, J. L., 10.1016/j.na.2005.12.035, Nonlinear Anal., Theory Methods Appl., Ser. A 66 (2007), 968-1004. (2007) Zbl1116.35011MR2288445DOI10.1016/j.na.2005.12.035
- Persson, J., 10.1007/s10492-012-0013-z, Appl. Math., Praha 57 (2012), 191-214. (2012) Zbl1265.35018MR2984600DOI10.1007/s10492-012-0013-z
- Persson, J., Selected Topics in Homogenization: Doctoral Thesis, Department of Engineering and Sustainable Development, Mid Sweden University, Sundsvall (2012). (2012)
- Svanstedt, N., Woukeng, J. L., 10.1080/00036811.2012.678334, Appl. Anal. 92 (2013), 1357-1378. (2013) Zbl1271.35006MR3169106DOI10.1080/00036811.2012.678334
- Zeidler, E., 10.1007/978-1-4612-0985-0, Springer, New York (1990). (1990) Zbl0684.47028MR1033497DOI10.1007/978-1-4612-0985-0