LEADER 02690nam 2200541 450 001 9910554258303321 005 20231110231916.0 010 $a3-11-064751-6 010 $a3-11-064899-7 024 7 $a10.1515/9783110648997 035 $a(CKB)5470000000570968 035 $a(DE-B1597)514518 035 $a(DE-B1597)9783110648997 035 $a(MiAaPQ)EBC6701653 035 $a(Au-PeEL)EBL6701653 035 $a(OCoLC)1257324932 035 $a(EXLCZ)995470000000570968 100 $a20220430d2021 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear reaction-diffusion processes for nanocomposites $eanomalous improved homogenization /$fJesus Ildefonso Diaz, David Gomez-Castro, Tatiana Olegovna Shaposhnikova 210 1$aBerlin ;$aBoston, MA :$cWalter de Gruyter GmbH,$d[2021] 210 4$dİ2021 215 $a1 online resource (XVI, 184 p.) 225 0 $aDe Gruyter Series in Nonlinear Analysis and Applications ;$v39 311 $a3-11-064727-3 327 $tFrontmatter -- $tPreface -- $tNotation -- $tContents -- $t1 Introduction and modeling -- $t2 Preliminary results and comments -- $t3 Estimates over one periodicity cell -- $t4 Particles over the whole domain -- $t5 Particles over an interior manifold -- $t6 Particles over a part of the boundary -- $tA Comments on the parabolic case -- $tB Dynamic boundary condition -- $tC Critical-size particles with a stochastic perturbation -- $tBibliography -- $tIndex 330 $aThe behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework. 410 3$aDe Gruyter Series in Nonlinear Analysis and Applications 606 $aNanocomposites (Materials) 606 $aNanocomposites (Materials)$xMachinability 615 0$aNanocomposites (Materials) 615 0$aNanocomposites (Materials)$xMachinability. 676 $a620.115 686 $aVE 9850$qSEPA$2rvk 700 $aDi?az$b J. I.$041067 702 $aGomez-Castro$b David 702 $aShaposhnikova$b T. O. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554258303321 996 $aNonlinear Reaction-Diffusion Processes for Nanocomposites$92820010 997 $aUNINA