Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations /
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| Author / Creator: | Wang, Kelei. |
|---|---|
| Imprint: | Berlin ; New York : Springer, c2013. |
| Description: | 1 online resource. |
| Language: | English |
| Series: | Springer theses, 2190-5053 Springer theses. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9849090 |
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| 090 | |a QA379 |b .W364 2013 | ||
| 100 | 1 | |a Wang, Kelei. | |
| 245 | 1 | 0 | |a Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations / |c by Kelei Wang. |
| 260 | |a Berlin ; |a New York : |b Springer, |c c2013. | ||
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Springer theses, |x 2190-5053 | |
| 505 | 0 | 0 | |t Introduction -- |t Uniqueness, Stability and Uniform Lipschitz Estimates -- |t Uniqueness in the Singular Limit -- |t The Dynamics of One Dimensional Singular Limiting Problem -- |t Approximate Clean Up Lemma -- |t Asymptotics in Strong Competition -- |t The Limit Equation of a Singularly Perturbed System. |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a In 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 | |a Boundary value problems |x Asymptotic theory. |0 http://id.loc.gov/authorities/subjects/sh85016103 | |
| 650 | 0 | |a Differential equations, Partial |x Asymptotic theory. |0 http://id.loc.gov/authorities/subjects/sh85037913 | |
| 653 | 4 | |a Mathematics. | |
| 653 | 4 | |a Functional analysis. | |
| 653 | 4 | |a Differential equations, partial. | |
| 655 | 4 | |a Electronic books. | |
| 650 | 7 | |a Boundary value problems |x Asymptotic theory. |2 fast |0 http://id.worldcat.org/fast/fst00837123 | |
| 650 | 7 | |a Differential equations, Partial |x Asymptotic theory. |2 fast |0 http://id.worldcat.org/fast/fst00893485 | |
| 830 | 0 | |a Springer theses. |0 http://id.loc.gov/authorities/names/no2010186160 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-642-33696-6 |y SpringerLink |
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