K
Karl Glasner
Researcher at University of Arizona
Publications - 42
Citations - 934
Karl Glasner is an academic researcher from University of Arizona. The author has contributed to research in topics: Free boundary problem & Singular perturbation. The author has an hindex of 15, co-authored 40 publications receiving 849 citations. Previous affiliations of Karl Glasner include University of Utah.
Papers
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Journal ArticleDOI
Coarsening dynamics of dewetting films.
Karl Glasner,Thomas P. Witelski +1 more
TL;DR: A scaling law that governs the coarsening rate is derived through the asymptotic reduction of the long-wave PDE governing the thin film to a set of ODEs for the evolution of the droplets.
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Nonlinear preconditioning for diffuse interfaces
TL;DR: A method of transforming problems with diffuse interfaces is presented which leads to equations that are easier to compute accurately, allowing a coarser grid to be used and applications to several well-known models are presented.
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A diffuse-interface model for electrowetting drops in a Hele-Shaw cell
TL;DR: In this paper, a diffuse-interface model for drop motion, due to electrowetting, in a Hele-Shaw geometry was proposed, and asymptotic analysis showed that the model is equivalent to HeleShaw flow with a voltage-modified Young-Laplace boundary condition on the free surface.
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A diffuse interface approach to Hele-Shaw flow
TL;DR: In this paper, a diffuse interface model for the one-phase Hele-Shaw problem is derived from a gradient flow characterization due to Otto (1998 Arch. Mech. 141 63), which yields a generalized form of Darcy's law and reduces to a degenerate version of the well-known Cahn-Hilliard equation.
Journal ArticleDOI
Collision versus collapse of droplets in coarsening of dewetting thin films
Karl Glasner,Thomas P. Witelski +1 more
TL;DR: In this paper, the authors describe two coarsening mechanisms present in dewetting films: (i) mass exchange leading to collapse of individual drops, and (ii) spatial motion leading to droplet collisions and merging events.