Well-posedness of the Hele–Shaw–Cahn–Hilliard system

Second, we discuss how to obtain explicit families of smooth geodesic rays in the space of Kähler metrics on P 1 and on the unit disc D that are constructed from an exhausting family

4 we show, for different values of the Froude number and for Pr * ⫽ 1, the evolution of the critical Rayleigh number as a function of the frequency in the case where the fluid layer

One of the main feature of the present work is that, thanks to a relevant choice of the free energy, our model coincides exactly with the diphasic Cahn-Hilliard model (described

This idea does not work in the case of a non-stationary limit, and we need to analyze first this singularity, by investigating the boundary layer that appears for very small times,

Moreover, the homogeneous case (ε = 0, ρ ε (ϕ) ≡ 1) has been studied in [5], where it is shown the existence of weak solutions, the existence and uniqueness of strong solutions and

mean curvature to construct local minimizers (therefore transition layer solutions) for equation (1.1).. In this paper we are concerned with solutions of (1.1) with

(3.2) In order to establish the global existence of a solution of the Hall-MHD system in the case of small data, we shall first prove the corresponding result for the extended

Haspot established results in the same spirit as those mentioned above (however, the results are obtained in the nonhomogeneous framework and thus do not fall into the