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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
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| 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
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: Politecnico di Milano
|
| Series | |
| Date Available |
2017-03-27
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0343368
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International