Ciprian G. Gal
Florida International University
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Ciprian G. Gal.
Nonlinearity | 2012
Chongsheng Cao; Ciprian G. Gal
Whether or not global solutions of the 2D Navier–Stokes–Cahn–Hilliard (NS–CH) system without full viscosity and mobility can develop finite time singularities is a difficult issue. A major result of this paper deals with global regularity of strong solutions for the NS–CH system with mixed partial viscosity and mobility. In addition, the 2D NS–CH system without viscosity but with full mobility is investigated. In this case, we also prove the global existence and uniqueness of classical solutions.
Journal of Nonlinear Science | 2016
Sergio Frigeri; Ciprian G. Gal; Maurizio Grasselli
We consider a diffuse interface model which describes the motion of an incompressible isothermal mixture of two immiscible fluids. This model consists of the Navier–Stokes equations coupled with a convective nonlocal Cahn–Hilliard equation. Several results were already proven by two of the present authors. However, in the two-dimensional case, the uniqueness of weak solutions was still open. Here we establish such a result even in the case of degenerate mobility and singular potential. Moreover, we show the weak–strong uniqueness in the case of viscosity depending on the order parameter, provided that either the mobility is constant and the potential is regular or the mobility is degenerate and the potential is singular. In the case of constant viscosity, on account of the uniqueness results, we can deduce the connectedness of the global attractor whose existence was obtained in a previous paper. The uniqueness technique can be adapted to show the validity of a smoothing property for the difference of two trajectories which is crucial to establish the existence of an exponential attractor. The latter is established even in the case of variable viscosity, constant mobility and regular potential.
Journal of Nonlinear Science | 2014
Ciprian G. Gal; T. Tachim Medjo
We consider a general family of regularized models for incompressible two-phase flows based on the Allen–Cahn formulation in
Journal of Nonlinear Science | 2012
Ciprian G. Gal
Asymptotic Analysis | 2011
Cecilia Cavaterra; Ciprian G. Gal; Maurizio Grasselli
n
Complex Variables and Elliptic Equations | 2008
Ciprian G. Gal; Sorin G. Gal; Jerome A. Goldstein
Journal of Mathematical Fluid Mechanics | 2015
Michele Coti Zelati; Ciprian G. Gal
n-dimensional compact Riemannian manifolds for
Complex Variables and Elliptic Equations | 2010
Ciprian G. Gal; Sorin G. Gal; Jerome A. Goldstein
Zeitschrift für Angewandte Mathematik und Physik | 2016
Ciprian G. Gal; Mahamadi Warma
n=2,3
Advanced Nonlinear Studies | 2016
Ciprian G. Gal; Mahamadi Warma