LEADER 05077nam 22008175 450 001 9910144624203321 005 20200707015627.0 010 $a3-540-39189-4 024 7 $a10.1007/b11357 035 $a(CKB)1000000000230406 035 $a(SSID)ssj0000324642 035 $a(PQKBManifestationID)11280078 035 $a(PQKBTitleCode)TC0000324642 035 $a(PQKBWorkID)10314212 035 $a(PQKB)10973802 035 $a(DE-He213)978-3-540-39189-0 035 $a(MiAaPQ)EBC6296977 035 $a(MiAaPQ)EBC5577341 035 $a(Au-PeEL)EBL5577341 035 $a(OCoLC)310630296 035 $a(PPN)155167715 035 $a(EXLCZ)991000000000230406 100 $a20121227d2003 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Aspects of Evolving Interfaces $eLectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira Funchal, Portugal, July 3-9, 2000 /$fby Luigi Ambrosio, Klaus Deckelnick, Gerhard Dziuk, Masayasu Mimura, Vsvolod Solonnikov, Halil Mete Soner ; edited by Pierluigi Colli 205 $a1st ed. 2003. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003. 215 $a1 online resource (XII, 248 p.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1812 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-14033-6 320 $aIncludes bibliographical references. 327 $aPreface -- 1. L. Ambrosio: Lecture Notes on Optimal Transport Problems -- 2. K. Deckelnick and G. Gziuk: Numerical Approximation of Mean Curvature Flow of Graphs and Level Sets -- 3. M. Mimura: Reaction-Diffusion Systems Arising in Biological and Chemical Systems: Application of Singular Limit Procedures -- 4. V. A. Solonnikov: Lectures on Evolution Free Boundary Problems: Classical Solutions -- 5. H. M. Soner: Variational and Dynamic Problems for the Ginzburg-Landau Functional. 330 $aInterfaces are geometrical objects modelling free or moving boundaries and arise in a wide range of phase change problems in physical and biological sciences, particularly in material technology and in dynamics of patterns. Especially in the end of last century, the study of evolving interfaces in a number of applied fields becomes increasingly important, so that the possibility of describing their dynamics through suitable mathematical models became one of the most challenging and interdisciplinary problems in applied mathematics. The 2000 Madeira school reported on mathematical advances in some theoretical, modelling and numerical issues concerned with dynamics of interfaces and free boundaries. Specifically, the five courses dealt with an assessment of recent results on the optimal transportation problem, the numerical approximation of moving fronts evolving by mean curvature, the dynamics of patterns and interfaces in some reaction-diffusion systems with chemical-biological applications, evolutionary free boundary problems of parabolic type or for Navier-Stokes equations, and a variational approach to evolution problems for the Ginzburg-Landau functional. 410 0$aC.I.M.E. Foundation Subseries ;$v1812 606 $aDifferential equations, Partial 606 $aGeometry, Differential 606 $aField theory (Physics) 606 $aThermodynamics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 615 0$aDifferential equations, Partial. 615 0$aGeometry, Differential. 615 0$aField theory (Physics) 615 0$aThermodynamics. 615 14$aPartial Differential Equations. 615 24$aDifferential Geometry. 615 24$aClassical and Continuum Physics. 615 24$aThermodynamics. 676 $a515.35 700 $aAmbrosio$b Luigi$4aut$4http://id.loc.gov/vocabulary/relators/aut$044009 702 $aDeckelnick$b Klaus$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aDziuk$b Gerhard$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMimura$b Masayasu$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSolonnikov$b Vsvolod$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSoner$b Halil Mete$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aColli$b Pierluigi$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aEuro-Summer School on Mathematical Aspects of Evolving Interfaces 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144624203321 996 $aMathematical aspects of evolving interfaces$9262583 997 $aUNINA