Optimal decay rates of a nonconservative compressible two‐phase fluid model

Heat transport in a stratified twophase fluid

A MUSTA Scheme for a Nonconservative Two-Fluid Model

Abstract. We present a multi-stage centred scheme, of the kind proposed by Toro [Appl. Numer. Math. 56 (2006) 1464], for numerically resolving the simultaneous flow of two fluids through a transport pipeline. This model contains non-conservative terms in both the temporal and spatial derivatives, and an extension of the standard numerical framework for conservation laws is needed. In this paper...

Optimal decay rates for the stabilization of a string network

We study the decay of the energy for a degenerate network of strings[1], and obtain optimal decay rates when the lengths are all equal. We also define a classical space semi-discretization and compare the results with the exact method introduced in [3,4]. To cite this article: A. Name1, A. Name2, C. R. Acad. Sci. Paris, Ser. I 340 (2005). Résumé Taux de décroissance optimaux pour la stabilisati...

A Nonconservative Lagrangian Framework for Statistical Fluid Registration - SAFIRA

In this paper, we used a nonconservative Lagrangian mechanics approach to formulate a new statistical algorithm for fluid registration of 3-D brain images. This algorithm is named SAFIRA, acronym for statistically-assisted fluid image registration algorithm. A nonstatistical version of this algorithm was implemented , where the deformation was regularized by penalizing deviations from a zero ra...

Analysis of nonlocal model of compressible fluid in 1-D

Abstract: We study a nonlocal modification of the compressible Navier-Stokes equations in mono dimensional case with a boundary condition characteristic for the free boundaries problem. From the formal point of view our system is an intermediate between the Euler and Navier-Stokes equations. Under certain assumptions, imposed on initial data and viscosity coefficient, we obtain the local and gl...