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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