LEADER 02377nam 2200409 450 001 9910808468603321 005 20230809235121.0 010 $a3-8325-9201-6 035 $a(CKB)4340000000248755 035 $a(MiAaPQ)EBC5313472 035 $a5a8e86f2-ff6c-4aed-9fec-66c5b0dd2d03 035 $a(EXLCZ)994340000000248755 100 $a20180508d2017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCommutability of Gamma-limits in problems with multiple scales /$fMartin Jesenko 210 1$aBerlin :$cLogos Berlin,$d[2017] 210 4$dİ2017 215 $a1 online resource (145 pages) $cillustrations 225 0 $aAugsburger Schriften zur Mathematik, Physik und Informatik ;$vBand 33 300 $aPublicationDate: 20170515 311 $a3-8325-4478-X 330 $aLong description: In the calculus of variations, the goal is to explore extrema of a given integral functional. From origins of the problem, it might be expected that the functional can be adequately simplified by neglecting some small quantities. A way to rigorously justify such an approximation is the Gamma-convergence that ensures convergence of corresponding (global) extrema. The main motivation of this work is to investigate properties of doubly indexed integral functionals that Gamma-converge for one index fixed. In other words, for two possible approximations we would like to determine whether we may perform them consecutively and if they commute. Our examples are taken from material science with homogenization being one of these two processes. In the first part we are considering a setting related to the elastic regime. However, our assumptions are fairly general and allow for applications in different areas. The second part is devoted to problems in the Hencky plasticity. They are considerably different due to special growth properties of the density. 606 $aHomogenization (Differential equations) 615 0$aHomogenization (Differential equations) 676 $a531.01515353 700 $aJesenko$b Martin$01608645 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910808468603321 996 $aCommutability of Gamma-limits in problems with multiple scales$93935503 997 $aUNINA