Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Clamond, Didier"'
Publikováno v:
J Dyn Diff Equat (2022)
A nondispersive, conservative regularisation of the inviscid Burgers equation is proposed and studied. Inspired by a related regularisation of the shallow water system recently introduced by Clamond and Dutykh, the new regularisation provides a famil
Externí odkaz:
http://arxiv.org/abs/2402.15545
Publikováno v:
Methods and Applications of Analysis, Volume 29, Number 3, Pages 295--302 (2022)
We prove in this note the local (in time) well-posedness of a broad class of $2 \times 2$ symmetrisable hyperbolic system involving additional non-local terms. The latest result implies the local well-posedness of the non dispersive regularisation of
Externí odkaz:
http://arxiv.org/abs/2402.15544
Publikováno v:
Nonlinear Anal. Real World Appl., Volume 64, Paper No. 103455 (2022)
Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been introduced by Clamond and Dutykh. This system is Galilean invariant, linearly non-dispersive and conserves formally an $H^1$-like energy. In this paper, we generalise th
Externí odkaz:
http://arxiv.org/abs/2402.15261
Publikováno v:
Communications in Mathematical Sciences, Volume 17, Issue 8, Pages 2223--2238, 2019
This paper studies the smoothing effect for entropy solutions of conservation laws with general nonlinear convex fluxes on $\mathbb{R}$. Beside convexity, no additional regularity is assumed on the flux. Thus, we generalize the well-known $\mathrm{BV
Externí odkaz:
http://arxiv.org/abs/2402.14967
We consider the problem of recovering the surface wave profile from noisy bottom pressure measurements with (\textit{a priori} unknown) arbitrary pressure at the surface. Without noise, the direct approach developed in \cite{clamond2023steady} provid
Externí odkaz:
http://arxiv.org/abs/2402.07930
Steady water-waves with arbitrary surface-pressure: Their recovery from bottom-pressure measurements
Autor:
Clamond, Didier, Labarbe, Joris
Equations relating the pressure at a horizontal seabed, the free-surface profile and the surface-pressure are derived for two-dimensional irrotational steady water waves with arbitrary pressure at the free surface. Special cases include gravity, capi
Externí odkaz:
http://arxiv.org/abs/2310.20311
Autor:
Labarbe, Joris, Clamond, Didier
A novel boundary integral approach for the recovery of overhanging (or not) rotational (or not) water waves from pressure measurements at the bottom is presented. The method is based on the Cauchy integral formula and on an Eulerian--Lagrangian forma
Externí odkaz:
http://arxiv.org/abs/2308.10567
We derive equations relating the pressure at a flat seabed and the free-surface profile for steady gravity waves with constant vorticity. The resulting set of nonlinear equations enables the recovery of the free surface from pressure measurements at
Externí odkaz:
http://arxiv.org/abs/2302.08404
Autor:
Maria Chiara Braidotti, Martino Lovisetto, Radivoje Prizia, Claire Michel, Clamond Didier, Matthieu Bellec, Ewan M. Wright, Bruno Marcos, Daniele Faccio
Publikováno v:
Communications Physics, Vol 7, Iss 1, Pp 1-6 (2024)
Abstract Structures in the Universe, ranging from globular clusters to entire galaxies, are not described by standard statistical mechanics at equilibrium. Instead, they are formed through a process of a very different nature, called violent relaxati
Externí odkaz:
https://doaj.org/article/5e2d7f8b52e4467bb26ed0d04be59fae
Autor:
Clamond, Didier
An explicit expression for the Dirichlet-Neumann operator for surface water waves is presented. For non-overturning waves, but without assuming small amplitudes, the formula is first derived in two dimensions, subsequently extrapolated in higher dime
Externí odkaz:
http://arxiv.org/abs/2209.06490