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

107 citations

Showing 2009Show all

12 papers · 1 filter

math.DS2009

Multiple recurrence for two commuting transformations

Qing Chu

This paper is devoted to a study of the multiple recurrence of two commuting transformations. We derive a result which is similar but not identical to that of one single transforma…

physics.class-ph2009★ 3 cited

Velocity and energy relaxation in two-phase flows

Yannick Meyapin, Denys Dutykh, Marguerite Gisclon

In the present study we investigate analytically the process of velocity and energy relaxation in two-phase flows. We begin our exposition by considering the so-called six equation…

math.AP2009★ 4 cited

A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U…

math.NA2009★ 2 cited

Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero

Robert Eymard, Marie Henry, Danielle Hilhorst

In this paper we consider a two-phase flow problem in porous media and study its singular limit as the viscosity of the air tends to zero; more precisely, we prove the convergence…

math.AP2009★ 10 cited

Air entrainment in transient flows in closed water pipes: a two-layer approach

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by tak…

math.AP2009★ 100 cited

On the well-posedness of the incompressible density-dependent Euler equations in the framework

Raphaël Danchin

The present paper is devoted to the study of the well-posedness issue for the density-dependent Euler equations in the whole space. We establish local-in-time results for the Cauch…

physics.class-ph2009

Two-fluid barotropic models for powder-snow avalanche flows

Yannick Meyapin, Denys Dutykh, Marguerite Gisclon

In the present study we discuss several modeling issues of powder-snow avalanche flows. We take a two-fluid modeling paradigm. For the sake of simplicity, we will restrict our atte…

math.AP2009★ 2 cited

Strong Stability with respect to weak limit for a Hyperbolic System arising from Gas Chromatography

Christian Bourdarias, Marguerite Gisclon, Stéphane Junca

We investigate a system related to a particular isothermal gas-solid chromatography process, called ?Pressure Swing Adsorption?, with two species and instantaneous exchange kinetic…

cs.LO2009

Coherent and finiteness spaces

Pierre Hyvernat

This short note presents a new relation between coherent spaces and finiteness spaces. This takes the form of a functor from COH to FIN commuting with the additive and multiplicati…

math.AP2009★ 35 cited

Phase-space analysis and pseudodifferential calculus on the Heisenberg group

Hajer Bahouri, Clotilde Fermanian-Kammerer, Isabelle Gallagher

This paper has been withdrawn by the authors. A class of pseudodifferential operators on the Heisenberg group is defined. As it should be, this class is an algebra containing the c…

math.AG2009★ 7 cited

Geometrically rational real conic bundles and very transitive actions

Jérémy Blanc, Frédéric Mangolte

In this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups…

physics.geo-ph2009★ 17 cited

Mathematical modeling of powder-snow avalanche flows

Denys Dutykh, Céline Acary-Robert, Didier Bresch

Powder-snow avalanches are violent natural disasters which represent a major risk for infrastructures and populations in mountain regions. In this study we present a novel model fo…