Consider a system with n components (different types of molecules) with r phases in equilibrium. The state of each phase is defined by P, T and then (n− 1) concentration variables in each phase. The phase equilibrium at given P, T is defined by the equality of n chemical potentials between the r phases. Thus there are n(r − 1) constraints on (n− 1)r + 2 variables. This gives the Gibbs phase rul...

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This paper is concerned with an inverse problem involving a two-phase moving boundary in two dimensional solidification of pure substance. Using a unique continuation result due to Saut and Schcurer we prove a uniqueness result. © 2005 Elsevier Ltd. All rights reserved.

In this paper we extend to three-phase flow the nonequilibrium formalism proposed by Barenblatt and co-workers for two-phase porous media flow. The underlying idea is to include nonequilibrium effects by introducing a pair of effective water and gas saturations, which are linked to the actual saturations by a local evolution equation. We illustrate and analyze how nonequilibrium effects lead to...

We report the synchronization of two nonidentical spatially extended fields, ruled by one-dimensional complex Ginzburg-Landau equations, both in the phase and in the amplitude turbulence regimes. In the case of small parameter mismatches, the coupling induces a transition to a completely synchronized state. For large parameter mismatches, the transition is mediated by phase synchronization. In ...

We prove the nonexistence of nonconstant local minimizers for a class of functionals, which typically appear in scalar two-phase field models, over smooth N -dimensional Riemannian manifolds without boundary and nonnegative Ricci curvature. Conversely, for a class of surfaces possessing a simple closed geodesic along which the Gauss curvature is negative, we prove the existence of nonconstant l...

Chilldown or quenching is a complicated process that initiates the cryogenic fluid line transport, and it involves unsteady two-phase heat and mass transfer. To advance our understanding of this process, we have reviewed recent experimental investigations. The chilldown process can be generally divided into three regimes: film boiling, transition boiling and nucleate boiling, and each regime is...

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces....