Academic Journal
More than Skew: Asymmetric Wave Propagation in a Reaction-Diffusion-Convection System
| العنوان: | More than Skew: Asymmetric Wave Propagation in a Reaction-Diffusion-Convection System |
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| المؤلفون: | Edward H. Flach, John Norbury, Santiago Schnell |
| المصدر: | Biomath, Vol 2, Iss 1 (2013) |
| بيانات النشر: | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, 2013. |
| سنة النشر: | 2013 |
| المجموعة: | LCC:Biology (General) LCC:Mathematics |
| مصطلحات موضوعية: | reaction-diffusion, convection, limit cycle, Schnakenberg, travelling wave, Biology (General), QH301-705.5, Mathematics, QA1-939 |
| الوصف: | Convection-induced instability in reaction-diffusion systems produces complicated patterns of oscillations behind propagating wavefronts. We transform the system twice: into lambda-omega form, then into polar variables. We find analytical estimates for the wavefront speed which we confirm numerically.Our previous work examined a simpler system [E. H. Flach, S. Schnell, and J. Norbury, Phys. Rev. E 76, 036216 (2007)]; the onset of instability is qualitatively different in numerical solutions of this system. We modify our estimates and connect the two different behaviours. Our estimate explains how the Turing instability fits with pattern found in reaction-diffusion-convection systems. Our results can have important applications to the pattern formation analysis of biological systems. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1314-684X 1314-7218 |
| Relation: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/30; https://doaj.org/toc/1314-684X; https://doaj.org/toc/1314-7218 |
| DOI: | 10.11145/j.biomath.2013.03.027 |
| URL الوصول: | https://doaj.org/article/f103afd530824906b974b64d6073aed0 |
| رقم الانضمام: | edsdoj.f103afd530824906b974b64d6073aed0 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 1314684X 13147218 |
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| DOI: | 10.11145/j.biomath.2013.03.027 |