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Isaac Scientific Publishing
New Horizons in Mathematical Physics
Prof. Ciprian G.S. Gal,  Florida International University, USA
Florida International University
Department of Mathematics, DM 435B
Miami, Fl, 33199, USA
Research Interests
• Nonlinear partial differential equations:
1. Cahn-Hilliard equations, phase-field systems and related models in materials science.
2. Hyperbolic equations and related models.
3. Fluid dynamics: the study of incompressible multiphase flows, Navier-Stokes equations.
4. Elliptic and parabolic boundary value problems.
5. Dynamic boundary conditions for PDE’s.
6. Nonlocal mathematical models.
• Attractor’s theory of dissipative systems.
• Perturbation theory, convergence rates to steady states, stability issues
Selected Publication List
• C.G. Gal, On an inviscid model for incompressible two-phase flows with nonlocal interaction, J. Math. Fluid Mech. (2016). doi:10.1007/s00021-016-0252-y.
•C.G. Gal, M. Grasselli, A. Miranville, Cahn-Hilliard-Navier-Stokes systems with moving contact lines, Calc. Var. Partial Differential Equations 55 (2016), no. 3, 47 pp.
•C.G Gal, M. Warma, Bounded solutions for nonlocal boundary value problems on Lipschitz manifolds with boundary, Adv. Nonlinear Stud. 16 (2016), no. 3, 529–550.
• S. Frigeri, C.G. Gal, M. Grasselli, On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions, J. Nonlinear Sci. 26 (2016), no. 4, 847–893.
•C.G. Gal, M. Warma, Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains, Z. Angew. Math. Phys. 67 (2016), no. 4, 67-83.
•C.G. Gal, M. Warma, Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions, Evol. Equ. Control Theory 5 (2016), no. 1, 61–103.
• C.G. Gal, M. Warma, Transmission problems with nonlocal boundary conditions and rough dynamic interfaces, Nonlinearity 29 (2016) 161–197.
•C.G. Gal, M. Warma, Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions, Discrete and Continuous Dynamical Systems A 36 (2016), 1279–1319.
• C.G. Gal, The role of surface diffusion in dynamic boundary conditions: Where do we stand? Milan J. Math. 83 (2015), no. 2, 237–278.
• C.G. Gal, L. Tebou, On a regularized family of models for the full Ericksen-Leslie system, Nonlinear Anal. 127 (2015), 312–351.
• M. Coti Zelati, C.G. Gal, Singular limits of Voigt models in fluid dynamics, J. Math. Fluid Mech. 17 (2015), no. 2, 233–259.
• C.G. Gal, J.L. Shomberg, Hyperbolic relaxation of reaction-diffusion equations with dynamic boundary conditions, Quart. Appl. Math. 73 (2015), no. 1, 93–129.
• C.G. Gal, T.T. Medjo, Approximation of the trajectory attractor for a 3D model of incompressible two-phase-flows, Commun. Pure Appl. Anal. 13 (2014), no. 6, 2229–2252.
• C.G. Gal, T.T Medjo, On a regularized family of models for homogeneous incompressible two-phase flows, J. Nonlinear Sci. 24 (2014), no. 6, 1033–1103.
• C.G. Gal, J.L. Shomberg, Coleman-Gurtin type equations with dynamic boundary conditions, Phys. D 292/293 (2015), 29–45.
• C.G. Gal, T.T. Medjo, Regularized family of models for incompressible Cahn-Hilliard two-phase flows, Nonlinear Anal. Real World Appl. 23 (2015), 94–122.
• C.G. Gal, S.G. Gal, J.A. Goldstein, Burgers and Black–Merton–Scholes equations with real time variable and complex spatial variable, Appl. Anal. 92 (2013), no. 8, 1766–1786.
• C.G. Gal, M. Grasselli, Longtime behavior of nonlocal Cahn-Hilliard equations, Discrete Contin. Dyn. Syst. 34 (2014), no. 1, 145–179.
• C.G. Gal, Global attractor for a nonlocal model for biological aggregation, Commun. Math. Sci. 12 (2014), no. 4, 623–660.
• C.G. Gal, M. Meyries, Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type, Proc. Lond. Math. Soc. (3) 108 (2014), no. 6, 1351–1380
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