Nonlinear evolution equations and applications
Mathematical analysis provides several powerful tools for describing dynamic processes in science and economics. Here the role of ordinary and partial differential equations within the SFB 359 is briefly sketched. Then two examples are presented in more detail: Firstly, the analytical description of...
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| Main Authors: | , , |
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| Format: | Chapter/Article |
| Language: | English |
| Published: |
2007
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| In: |
Reactive flows, diffusion and transport
Year: 2007, Pages: 25-41 |
| DOI: | 10.1007/978-3-540-28396-6_2 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/978-3-540-28396-6_2 Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-540-28396-6_2 
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| Author Notes: | W. Jäger, Th. Lorenz and A. Tambulea |
| Summary: | Mathematical analysis provides several powerful tools for describing dynamic processes in science and economics. Here the role of ordinary and partial differential equations within the SFB 359 is briefly sketched. Then two examples are presented in more detail: Firstly, the analytical description of gradostat demonstrates how sensitively a system of ODEs might depend on its parameters. Secondly, shape evolutions show how the tools of set-valued analysis provide an alternative to level-set methods. The key aim here is to extend evolution equations beyond vector spaces. |
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| Item Description: | Gesehen am 11.06.2018 |
| Physical Description: | Online Resource |
| ISBN: | 9783540283966 |
| DOI: | 10.1007/978-3-540-28396-6_2 |