LEADER 03227nam 2200541 450 001 9910554274503321 005 20231110214101.0 010 $a3-11-061822-2 010 $a3-11-061836-2 024 7 $a10.1515/9783110618365 035 $a(CKB)5590000000431501 035 $a(DE-B1597)500080 035 $a(DE-B1597)9783110618365 035 $a(OCoLC)1229160933 035 $a(MiAaPQ)EBC6567672 035 $a(Au-PeEL)EBL6567672 035 $a(EXLCZ)995590000000431501 100 $a20211115d2020 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMean curvature fow $eproceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29-June 1, 2018 /$fedited by Theodora Bourni, Mat Langford 210 1$aBerlin, Germany ;$aBoston, Massachusetts :$cWalter de Gruyter GmbH,$d[2020] 210 4$d©2020 215 $a1 online resource (VIII, 141 p.) 225 0 $aDe Gruyter Proceedings in Mathematics 311 $a3-11-061818-4 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tForeword -- $tContents -- $tIntroducing Mean Curvature Flow -- $tSelf-similar solutions of mean curvature flow -- $tAncient solutions in geometric flows -- $tAn extension to the Morse energy gradient flow -- $tRegularity of non-compact inverse mean curvature flow -- $tArea preserving curve shortening flow -- $tSecond Order Renormalization Group Flow -- $tAnalysis of Velązquez?s solution to the mean curvature flow with a type II singularity -- $tSome recent applications of mean curvature flow with surgery -- $tIdentifying shrinking solitons by their asymptotic geometries -- $tGeometric singularities under the Gigli-Mantegazza flow -- $tPinched ancient solutions to high codimension mean curvature flow -- $tOn the unknoteddness of self shrinkers in R3 -- $tGluing constructions for self-translating and self-shrinking surfaces under mean curvature flow -- $tThe level set flow of a hypersurface in R4 of low entropy does not disconnect -- $tApplication of Mean Curvature Flow for surface parametrizations 330 $aWith contributions by leading experts in geometric analysis, this volume is documenting the material presented in the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, on May 29 - June 1, 2018. The central topic of the 2018 lectures was mean curvature flow, and the material in this volume covers all recent developments in this vibrant area that combines partial differential equations with differential geometry. 410 3$aDe Gruyter Proceedings in Mathematics 606 $aFlows (Differentiable dynamical systems)$vCongresses 606 $aGeometric analysis$vCongresses 615 0$aFlows (Differentiable dynamical systems) 615 0$aGeometric analysis 676 $a516.362 686 $aSK 370$2rvk 702 $aBourni$b Theodora 702 $aLangford$b Mat 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554274503321 996 $aMean curvature fow$92819784 997 $aUNINA