Academic Journal
Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system
| العنوان: | Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system |
|---|---|
| المؤلفون: | Crevat, Joachim, Faye, Grégory, Filbet, Francis |
| المساهمون: | Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), ANR-19-P3IA-0004,ANITI,Artificial and Natural Intelligence Toulouse Institute(2019), ANR-19-CE40-0024,ChaMaNe,Enjeux mathématiques issus des neurosciences(2019), ANR-11-LABX-0040,CIMI,Centre International de Mathématiques et d'Informatique (de Toulouse)(2011) |
| المصدر: | ISSN: 0036-1410 ; SIAM Journal on Mathematical Analysis ; https://hal.science/hal-01757580 ; SIAM Journal on Mathematical Analysis, 2019. |
| بيانات النشر: | HAL CCSD Society for Industrial and Applied Mathematics |
| سنة النشر: | 2019 |
| المجموعة: | Université Toulouse III - Paul Sabatier: HAL-UPS |
| مصطلحات موضوعية: | [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| الوصف: | International audience ; We introduce a spatially extended transport kinetic FitzHugh-Nagumo model with forced local interactions and prove that its hydrodynamic limit converges towards the classical nonlocal reaction-diffusion FitzHugh-Nagumo system. Our approach is based on a relative entropy method, where the macroscopic quantities of the kinetic model are compared with the solution to the nonlocal reaction-diffusion system. This approach allows to make the rigorous link between kinetic and reaction-diffusion models. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/arxiv/1804.01263; hal-01757580; https://hal.science/hal-01757580; https://hal.science/hal-01757580v2/document; https://hal.science/hal-01757580v2/file/limhydFHNCFFv1.pdf; ARXIV: 1804.01263 |
| الاتاحة: | https://hal.science/hal-01757580 https://hal.science/hal-01757580v2/document https://hal.science/hal-01757580v2/file/limhydFHNCFFv1.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.34DFBE75 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |