Modeling the coastal ocean over a time period of several weeks

Autor: Valérie Monbet, Emmanuel Frénod, Pierre Ailliot
Přispěvatelé: Laboratoire d'Etude et Modélisation des Environnements littoraux (LEMEL), Université de Bretagne Sud (UBS), Laboratoire de Statistique Appliquée de l'Université de Bretagne-Sud (SABRES), Scientific computation and visualization (CALVI), Institut de Recherche Mathématique Avancée (IRMA), Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection (LSIIT), Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et Applications des Mathématiques, EA 3885 (LMAM), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection (LSIIT)
Rok vydání: 2010
Předmět:
[SDE.MCG]Environmental Sciences/Global Changes
FOS: Physical sciences
Physics - Classical Physics
01 natural sciences
[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
Mathematics - Analysis of PDEs
Scale analysis (mathematics)
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
scale analysis
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
14. Life underwater
0101 mathematics
[SDU.ENVI]Sciences of the Universe [physics]/Continental interfaces
environment
Mathematics
[SDE.MCG.SIC]Environmental Sciences/Global Changes/domain_sde.mcg.sic
Applied Mathematics
010102 general mathematics
Mathematical analysis
Classical Physics (physics.class-ph)
Hyperbolic PDE
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Hyperbolic systems
010101 applied mathematics
asymptotic analysis
Nonlinear system
coastal ocean modeling
Hyperbolic partial differential equation
Analysis
Analysis of PDEs (math.AP)
Zdroj: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2010, 246 (4), pp.639-659. ⟨10.1016/j.jde.2009.11.004⟩
Journal of Differential Equations, 2010, 246 (4), pp.639-659. ⟨10.1016/j.jde.2009.11.004⟩
ISSN: 0022-0396
1090-2732
DOI: 10.1016/j.jde.2009.11.004
Popis: International audience; From a scale analysis of hydrodynamic phenomena having a significant action on the drift of an object in coastal ocean waters, we deduce equations modeling the associated hydrodynamic fields over a time period of several weeks. These models are essentially non linear hyperbolic systems of PDE involving a small parameter. Then from the models we extract a simplified and nevertheless typical one for which we prove that its classical solution exists on a time interval which is independent of the small parameter. We then show that the solution weak-* converges as the small parameter goes to zero and we characterize the equation satisfied by the weak-* limit
Databáze: OpenAIRE
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