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pro vyhledávání: '"Benjamin Melinand"'
Autor:
Benjamin Melinand
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017
International audience; This paper is devoted to the study of water waves under the influence of the gravity and the Coriolis force. It is quite common in the physical literature that the rotating shallow water equations are used to study such water
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::187d3f26712750cd1a741c88b5c7b9b2
http://hdl.handle.net/20.500.12278/113699
http://hdl.handle.net/20.500.12278/113699
Autor:
Benjamin Melinand, Kevin Zumbrun
Publikováno v:
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, Elsevier, 2019
Physica D: Nonlinear Phenomena, Elsevier, 2019
We study existence and stability of steady solutions of the isentropic compressible Navier–Stokes equations on a finite interval with noncharacteristic boundary conditions, for general not necessarily small-amplitude data. We show that there exists
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d7c320a62b570441c79522e7de14294
http://arxiv.org/abs/1710.10674
http://arxiv.org/abs/1710.10674
Autor:
Agnes Leroy, Emmanuel Audusse, Benjamin Melinand, Olivier Lafitte, Pierrick Quemar, Chi-Tuan Pham
Publikováno v:
SYNASC
In this paper, we call and study a classical equation modeling the refraction and diffraction phenomena of water waves in harbors. This equation is called the mild-slope equation. By using a family of bottom profiles, we construct analytically an app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::355c696a1988c38bd0bc4049c5e94e61
https://doi.org/10.1109/synasc.2017.00024
https://doi.org/10.1109/synasc.2017.00024
Autor:
Afaf Bouharguane, Benjamin Melinand
Publikováno v:
IMA Journal of Numerical Analysis
IMA Journal of Numerical Analysis, 2017
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017
IMA Journal of Numerical Analysis, 2017
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017
International audience; In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on a splitting approach for studying this system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddaeab46c0f6c1218e53cd7110ec05cc
https://hal.science/hal-01326794
https://hal.science/hal-01326794
Autor:
Benjamin Melinand
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2018
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2018
This paper is devoted to the study of the long wave approximation for water waves under the influence of the gravity and a Coriolis forcing. We start by deriving a generalization of the Boussinesq equations in one (spatial) dimension and we rigorousl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d64a3bd77a0656033a1989b89d205aa
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