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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations: 0 (Springer Theses) - Hardcover
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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 these two problems. We study the free boundary problems in the singulary 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.
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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.
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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations (Springer Theses)
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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2012
ISBN 10: 3642336957
ISBN 13: 9783642336959
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Zustand: New. The results of this exceptional thesis on free boundary problems in singularly perturbed PDEs develop our understanding of the effects of strong competition between species. The research has a wealth of valuable applications in both physics and biology. Series: Springer Theses. Num Pages: 124 pages, biography. BIC Classification: PBKF; PBKJ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 7. Weight in Grams: 356. . 2012. Hardback. . . . . Books ship from the US and Ireland. Artikel-Nr. V9783642336959
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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
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Hardcover. Zustand: Brand New. 2013 edition. 120 pages. 9.25x6.25x0.50 inches. In Stock. Artikel-Nr. x-3642336957
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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 these two problems. We study the free boundary problems in the singulary 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. 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. Artikel-Nr. 9783642336959
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