Generalization of Young-Laplace, Kelvin, and Gibbs-Thomson equations for arbitrarily curved surfaces

DV Svintradze - Biophysical Journal, 2023 - cell.com
Abstract The Young-Laplace, Kelvin, and Gibbs-Thomson equations form a cornerstone of
colloidal and surface sciences and have found successful applications in many subfields of …

Generalization of the Kelvin equation for arbitrarily curved surfaces

DV Svintradze - Physics Letters A, 2020 - Elsevier
Capillary condensation, which takes place in confined geometries, is the first-order vapor-to-
liquid phase transition and is explained by the Kelvin equation, but the equation's …

Moving manifolds in electromagnetic fields

DV Svintradze - Frontiers in Physics, 2017 - frontiersin.org
We propose dynamic non-linear equations for moving surfaces in an electromagnetic field.
The field is induced by a material body with a boundary of the surface. Correspondingly the …

Moving Manifolds and General Relativity

DV Svintradze - arXiv preprint arXiv:2406.08382, 2024 - arxiv.org
We revise general relativity (GR) from the perspective of calculus for moving surfaces (CMS).
While GR is intrinsically constructed in pseudo-Riemannian geometry, a complete …