Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations
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 differe...
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| Autor Principal: | |
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| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2013. |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research
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| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations, Kelei Wang, Heidelberg, Springer, 2013, 1 vol. (XI-109 p.), Springer theses, 978-3-642-33695-9 |
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| 100 | 1 | |a Wang, Kelei, |d 19..- | |
| 245 | 1 | 0 | |a Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |c by Kelei Wang. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research |x 2190-5061 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Foreword 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | ||
| 776 | 0 | |0 181240041 |t Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |f Kelei Wang |c Heidelberg |n Springer |d 2013 |p 1 vol. (XI-109 p.) |s Springer theses |z 978-3-642-33695-9 | |
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