42 citations · 69 across the 6 of their papers we have counts for
6 papers
Searching for Singularities in Navier-Stokes Flows Based on the Ladyzhenskaya-Prodi-Serrin Conditions
Di Kang, Bartosz Protas
In this investigation we perform a systematic computational search for potential singularities in 3D Navier-Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions. They as…
Alignments of Triad Phases in 1D Burgers and 3D Navier-Stokes Flows
Di Kang, Bartosz Protas, Miguel D. Bustamante
The goal of this study is to analyze the fine structure of nonlinear modal interactions in different 1D Burgers and 3D Navier-Stokes flows. This analysis is focused on preferential…
Maximum Amplification of Enstrophy in 3D Navier-Stokes Flows
Di Kang, Dongfang Yun, Bartosz Protas
This investigation concerns a systematic search for potentially singular behavior in 3D Navier-Stokes flows. Enstrophy serves as a convenient indicator of the regularity of solutio…
Modeling Coating Flow and Surfactant Dynamics inside the Alveolar Compartment
D. Kang, M. Chugunova, A. Nadim +2
We derive a new model for the coating flow inside the alveolar compartment, taking into account pulmonary surfactant production and recycling by Type 2 cells as well as its degrada…
Marangoni effects on a thin liquid film coating a sphere with axial or radial thermal gradients
Di Kang, Ali Nadim, Marina Chugunova
We study the time evolution of a thin liquid film coating the outer surface of a sphere in the presence of gravity, surface tension and thermal gradients. We derive the fourth-orde…
Weak Solution of a Doubly Degenerate Parabolic Equation
Di Kang, Tharathep Sangsawang, Jialun Zhang
This paper studies a fourth-order, nonlinear, doubly-degenerate parabolic equation derived from the thin film equation in spherical geometry. A regularization method is used to stu…