LEADER 01808nam 2200565 450 001 9910808280803321 005 20200520144314.0 010 $a0-88977-354-8 035 $a(CKB)3710000000614946 035 $a(SSID)ssj0001636066 035 $a(PQKBManifestationID)16388992 035 $a(PQKBTitleCode)TC0001636066 035 $a(PQKBWorkID)13206931 035 $a(PQKB)11636443 035 $a(MiAaPQ)EBC5202735 035 $a(Au-PeEL)EBL5202735 035 $a(CaPaEBR)ebr11486357 035 $a(OCoLC)890957236 035 $a(PPN)238410366 035 $a(EXLCZ)993710000000614946 100 $a20180129h20142014 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aReinvesting in families $estrengthening child welfare practice for a brighter future : voices from the prairies /$fedited by Dorothy Badry [and three others] 210 1$aRegina, Saskatchewan :$cUniversity of Regina Press,$d2014. 210 4$d©2014 215 $a1 online resource (328 pages) 300 $aIncludes indexes. 311 $a0-88977-352-1 606 $aChild welfare$zPrairie Provinces 606 $aFamily services$zPrairie Provinces 606 $aIndian children$xServices for$zPrairie Provinces 606 $aIndian children$zPrairie Provinces$xSocial conditions 607 $aPrairie Provinces$2fast 615 0$aChild welfare 615 0$aFamily services 615 0$aIndian children$xServices for 615 0$aIndian children$xSocial conditions. 676 $a362.778970712 702 $aBadry$b Dorothy Eleanor$f1958- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910808280803321 996 $aReinvesting in families$94024761 997 $aUNINA LEADER 03387nam 2200601Ia 450 001 9910438146003321 005 20200520144314.0 010 $a1-283-91080-2 010 $a3-642-33696-5 024 7 $a10.1007/978-3-642-33696-6 035 $a(CKB)2670000000317386 035 $a(EBL)1082714 035 $a(OCoLC)823388571 035 $a(SSID)ssj0000878934 035 $a(PQKBManifestationID)11479440 035 $a(PQKBTitleCode)TC0000878934 035 $a(PQKBWorkID)10850867 035 $a(PQKB)10412346 035 $a(DE-He213)978-3-642-33696-6 035 $a(MiAaPQ)EBC1082714 035 $a(PPN)168325195 035 $a(EXLCZ)992670000000317386 100 $a20121227d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFree boundary problems and asymptotic behavior of singularly perturbed partial differential equations /$fKelei Wang 205 $a1st ed. 2013. 210 $aBerlin ;$aHeidelberg $cSpringer$dc2013 215 $a1 online resource (116 p.) 225 0$aSpringer theses,$x2190-5053 300 $aDescription based upon print version of record. 311 $a3-642-44248-X 311 $a3-642-33695-7 320 $aIncludes bibliographical references and index. 327 $aForeword -- Acknowledgements -- Introduction -- Uniqueness, Stability and Uniform Lipschitz Estimates -- Uniqueness in the Singular Limit -- The Dynamics of One Dimensional Singular Limiting Problem.- Approximate Clean Up Lemma.- Asymptotics in Strong Competition -- The Limited Equation of a Singular Perturbed System -- Reference -- Index. 330 $aIn Bose-Einstein condensates from physics and competing species system from population dynamics, it is observed that different condensates (or species) tend to be separated. This is known as the phase separation phenomena. These pose a new class of free boundary problems of nonlinear partial differential equations. Besides its great difficulty in mathematics, the study of this problem will help us get a better understanding of the phase separation phenomena. This thesis is devoted to the study of the asymptotic behavior of singularly perturbed partial differential equations and some related free boundary problems arising from Bose-Einstein condensation theory and competing species model. We study the free boundary problems in the singular limit and give some characterizations, and use this to study the dynamical behavior of competing species when the competition is strong. These results have many applications in physics and biology.   It was nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aBoundary value problems$xAsymptotic theory 606 $aDifferential equations, Partial$xAsymptotic theory 615 0$aBoundary value problems$xAsymptotic theory. 615 0$aDifferential equations, Partial$xAsymptotic theory. 676 $a515.353 700 $aWang$b Kelei$01058835 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438146003321 996 $aFree Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations$92502699 997 $aUNINA