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Spiralling asymptotic profiles of competition-diffusion systems Verzini, Gianmaria
Description
In this talk we consider solutions of the competitive elliptic system $$ \begin{cases} -\Delta u_i = - \beta \sum_{j \neq i} a_{ij} u_i u_j & \text{in $\Omega\subset \mathbb{R}^2$} \\ u_i =g & \text{in $\partial\Omega$} \end{cases} \qquad i=1,\dots,k, $$ and their asymptotic profiles when $\beta\to+\infty$. We shall focus our attention on the asymmetric case: $a_{ij}\neq a_{ji}$. This is a joint result with A. Salort, S. Terracini, A. Zilio.
Item Metadata
Title |
Spiralling asymptotic profiles of competition-diffusion systems
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-09-26T15:45
|
Description |
In this talk we consider solutions of the competitive elliptic system
$$
\begin{cases}
-\Delta u_i = - \beta \sum_{j \neq i} a_{ij} u_i u_j & \text{in $\Omega\subset
\mathbb{R}^2$} \\
u_i =g & \text{in $\partial\Omega$}
\end{cases} \qquad i=1,\dots,k,
$$
and their asymptotic profiles when $\beta\to+\infty$. We shall focus our attention on the asymmetric case: $a_{ij}\neq a_{ji}$. This is a joint result with A. Salort, S. Terracini, A. Zilio.
|
Extent |
42 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Politecnico di Milano
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Series | |
Date Available |
2017-03-28
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0343368
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International