output
19962022
most citedThe VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation

107 citations

Showing 2008Show all

15 papers · 1 filter

math.AP2008★ 4 cited

Exponential decay for solutions to semilinear damped wave equation

Stéphane Gerbi, Belkacem Said-Houari

This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Introducing an appropriate Lyaponuv function, we p…

math.AP2008

A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We i…

math.DS2008

Convergence of multiple ergodic averages along cubes for several commuting transformations

Qing Chu

We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use reli…

math.AP2008★ 36 cited

Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions

Stéphane Gerbi, Belkacem Said-Houari

In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solu…

math.PR2008★ 13 cited

Spectrum of large random reversible Markov chains: two examples

Charles Bordenave, Pietro Caputo, Djalil Chafai

We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider…

physics.class-ph2008★ 11 cited

Group and phase velocities in the free-surface visco-potential flow: new kind of boundary layer induced instability

Denys Dutykh

Water wave propagation can be attenuated by various physical mechanisms. One of the main sources of wave energy dissipation lies in boundary layers. The present work is entirely de…

math.CA2008

Fefferman-Stein inequalities for the \mathbb{Z}_2^d Dunkl maximal operator

Luc Deleaval

In this article, we establish the Fefferman-Stein inequalities for the Dunkl maximal operator associated with a finite reflection group generated by the sign changes. Similar resul…

math.AP2008★ 3 cited

Global Existence Results for the Anisotropic Boussinesq System in Dimension Two

Raphaël Danchin, Marius Paicu

We study the global existence issue for the two-dimensional Boussinesq system with horizontal viscosity in only one equation. We first examine the case where the Navier-Stokes equa…

physics.geo-ph2008★ 19 cited

Influence of sedimentary layering on tsunami generation

Denys Dutykh, Frédéric Dias

The present article is devoted to the influence of sediment layers on the process of tsunami generation. The main scope here is to demonstrate and especially quantify the effect of…

physics.class-ph2008★ 43 cited

A two-fluid model for violent aerated flows

Frédéric Dias, Denys Dutykh, Jean-Michel Ghidaglia

In the study of ocean wave impact on structures, one often uses Froude scaling since the dominant force is gravity. However the presence of trapped or entrained air in the water ca…

physics.class-ph2008★ 3 cited

A compressible two-fluid model for the finite volume simulation of violent aerated flows. Analytical properties and numerical results

Frédéric Dias, Denys Dutykh, Jean-Michel Ghidaglia

In the study of ocean wave impact on structures, one often uses Froude scaling since the dominant force is gravity. However the presence of trapped or entrained air in the water ca…

math.FA2008

On multifractality and time subordination for continuous functions

Stephane Seuret

We show that if is "homogeneously multifractal" (in a sense we precisely define), then is the composition of a monofractal function with a time subordinator (i.e. $…

math.MG2008★ 24 cited

Hilbert geometry for convex polygonal domains

Bruno Colbois, Constantin Vernicos, Patrick Verovic

We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lipschitz equivalent to Euclidean plane.

physics.flu-dyn2008★ 51 cited

Visco-potential free-surface flows and long wave modelling

Denys Dutykh

In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms. From p…

math.AG2008★ 2 cited

Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II

Fabrizio Catanese, Frederic Mangolte

Let W -> X be a real smooth projective 3-fold fibred by rational curves. J. Kollár proved that, if W(R) is orientable, then a connected component N of W(R) is essentially either a…