Marguerite Gisclon

An initial-boundary-value problem that approximate the quarter-plane problem for the Korteweg-de Vries equation.

In this paper, we continue the study of the initial-boundary-value prob- lem for the Korteweg-de Vries equation that has been initiated in (9). We obtain global smoothing eects that are uniform with respect to the size of the interval. This allows us to show that the solution of the boundary value problem converges, as the size of the interval converges to infinity, towards the solution of the quarter-plane problem. We also propose a simple finite dierents scheme for the problem on (0 ,1) and prove its stability.

Roughness-Induced Effect at Main Order on the Reynolds Approximation

Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order

Velocity and Energy Relaxation in Two-Phase Flows

\varepsilon

Two-Fluid Barotropic Models for Powder-Snow Avalanche Flows

) are related to the Reynolds equation for the pressure

Roughness‐Induced Effect at Main order on the Reynolds Approximation

p_{\mathrm{smooth}}

About the barotropic compressible quantum Navier–Stokes equations

. In this paper, we show that for a rough thin domain (with rugosities of order

A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes

\varepsilon^2

Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov

) the flow is governed by a modified Reynolds equation for a pressure

An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit

p_{\mathrm{rough}}

From Bloch model to the rate equations II: the case of almost degenerate energy levels

. Moreover, we find the relation