000 | 03079nam a22004697a 4500 | ||
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001 | sulb-eb0024254 | ||
003 | BD-SySUS | ||
005 | 20160413122431.0 | ||
007 | cr nn 008mamaa | ||
008 | 121205s2013 gw | s |||| 0|eng d | ||
020 |
_a9783642336966 _9978-3-642-33696-6 |
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024 | 7 |
_a10.1007/978-3-642-33696-6 _2doi |
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050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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072 | 7 |
_aMAT007000 _2bisacsh |
|
082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aWang, Kelei. _eauthor. |
|
245 | 1 | 0 |
_aFree Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations _h[electronic resource] / _cby Kelei Wang. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013. |
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300 |
_aXII, 112 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5053 |
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505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aPartial differential equations. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aPartial Differential Equations. |
650 | 2 | 4 | _aFunctional Analysis. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642336959 |
830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5053 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-33696-6 |
912 | _aZDB-2-SMA | ||
942 |
_2Dewey Decimal Classification _ceBooks |
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999 |
_c46346 _d46346 |