Academic Journal
A non-monotone conservation law for dune morphodynamics
| العنوان: | A non-monotone conservation law for dune morphodynamics |
|---|---|
| المؤلفون: | Alibaud, Nathaël, Azerad, Pascal, Isèbe, Damien |
| المساهمون: | Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté COMUE (UBFC)-Université Bourgogne Franche-Comté COMUE (UBFC), Institut de Mathématiques et de Modélisation de Montpellier (I3M), Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), ANR projet COPTER NT05-2-42253 |
| المصدر: | ISSN: 0893-4983 ; Differential and integral equations ; https://hal.science/hal-00173879 ; Differential and integral equations, 2010, 23, pp.155--188. |
| بيانات النشر: | HAL CCSD Khayyam Publishing |
| سنة النشر: | 2010 |
| المجموعة: | Université de Montpellier: HAL |
| مصطلحات موضوعية: | non linear evolution equations, non local operator, maximum principle, integral formula, Fourier transform, pseudo-differential operator, MSC 47J35, 47G20, 35L65, 35B50, 45K05, 65M06, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| الوصف: | 26 p ; International audience ; We investigate a non-local non linear conservation law, first introduced by A.C. Fowler to describe morphodynamics of dunes, see \cite{Fow01, Fow02}. A remarkable feature is the violation of the maximum principle, which allows for erosion phenomenon. We prove well-posedness for initial data in $L^2$ and give explicit counterexample for the maximum principle. We also provide numerical simulations corroborating our theoretical results. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/arxiv/0709.3360; hal-00173879; https://hal.science/hal-00173879; https://hal.science/hal-00173879/document; https://hal.science/hal-00173879/file/alazis0109.pdf; ARXIV: 0709.3360 |
| الاتاحة: | https://hal.science/hal-00173879 https://hal.science/hal-00173879/document https://hal.science/hal-00173879/file/alazis0109.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.C8C558FE |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |