G
Gunduz Caginalp
Researcher at University of Pittsburgh
Publications - 151
Citations - 5100
Gunduz Caginalp is an academic researcher from University of Pittsburgh. The author has contributed to research in topics: Asset (economics) & Volatility (finance). The author has an hindex of 33, co-authored 151 publications receiving 4830 citations. Previous affiliations of Gunduz Caginalp include Rockefeller University & Chapman University.
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An analysis of a phase field model of a free boundary
TL;DR: In this paper, a mathematical analysis of a new approach to solidification problems is presented, where a free boundary arising from a phase transition is assumed to have finite thickness, and the physics leads to a system of nonlinear parabolic differential equations.
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Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations.
TL;DR: L'echelonnement des parametres physiques dans le domaine microscopique conduit a des modeles marcroscopiques distincts, avec des differences critiques de la dynamique du modele du champ de phase.
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Dynamics of Layered Interfaces Arising from Phase Boundaries
Gunduz Caginalp,Paul C. Fife +1 more
TL;DR: In this paper, the dynamics of a material in two phases is studied in the context of phase-field models based on a Landau-Ginzburg free energy functional.
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Convergence of the phase field model to its sharp interface limits
Gunduz Caginalp,Xinfu Chen +1 more
TL;DR: In this article, the authors consider the phase field equations and prove that the corresponding free boundary problem is attained in each case, including the two phase Hele-Shaw model and the motion by mean curvature model.
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Phase-field and sharp-interface alloy models.
Gunduz Caginalp,W. Xie +1 more
TL;DR: In the limit as e approaches zero, an alternative two-phase alloy solidification model (with a sharp interface) is obtained, and the classical sharp-interface problems are recovered for small concentrations.