Academic Journal
A bounded dynamical network of curves and the stability of its steady states
| العنوان: | A bounded dynamical network of curves and the stability of its steady states |
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| المؤلفون: | Dassios, Ioannis, Tzounas, Georgios, id_orcid:0 000-0002-1464-3600, Milano, Federico |
| المصدر: | Mathematical Methods in the Applied Sciences |
| بيانات النشر: | Wiley |
| سنة النشر: | 2023 |
| المجموعة: | ETH Zürich Research Collection |
| مصطلحات موضوعية: | angle conditions, boundary, curves, dynamical network, geometry, intersection conditions |
| الوصف: | In this article, we study the dynamic behavior of a network that consists of curves that are in motion and bounded. We first focus on the construction of the model which is a system of nonlinear partial differential equations (PDEs). This system is subject to four conditions: angle and intersection conditions between the curves at the point that they meet and angle and intersection conditions between the curves and the boundary from which the network is bounded. Then, we define a linear operator and study the stability of the steady states of the corresponding boundary value problem (BVP). ; ISSN:1099-1476 ; ISSN:0170-4214 |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/application/pdf |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/000991461200001; http://hdl.handle.net/20.500.11850/615757 |
| DOI: | 10.3929/ethz-b-000615757 |
| الاتاحة: | https://hdl.handle.net/20.500.11850/615757 https://doi.org/10.3929/ethz-b-000615757 |
| Rights: | info:eu-repo/semantics/openAccess ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International |
| رقم الانضمام: | edsbas.A1909A8C |
| قاعدة البيانات: | BASE |
| DOI: | 10.3929/ethz-b-000615757 |
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