7 citations · 8 across the 4 of their papers we have counts for
5 papers
A Shape-Preserving Shell Theorem
Penelope Messinger, Stephany M. Rodriguez, Trung V. Phan
We identify all radial interaction potentials that generalize Newton's exterior shell theorem, for which a uniformly distributed spherical shell is indistinguishable from a point-s…
Towards Coordinate- and Dimension-Agnostic Machine Learning for Partial Differential Equations
Trung V. Phan, George A. Kevrekidis, Soledad Villar +2
The machine learning methods for data-driven identification of partial differential equations (PDEs) are typically defined for a given number of spatial dimensions and a choice of…
On the Derivation of the Cosmological Gurzadyan's Theorem
Trung V. Phan
In cosmology, the Gurzadyan's theorem identifies the most general force law consistent with the finding of Newton's first shell theorem -- that a spherical symmetric mass exerts th…
Vanishing in Fractal Space: Thermal Melting and Hydrodynamic Collapse
Trung V. Phan, Truong H. Cai, Van H. Do
Fractals emerge everywhere in nature, exhibiting intricate geometric complexities through the self-organizing patterns that span across multiple scales. Here, we investigate beyond…
Mechanical Attributes of Fractal Dragons
Huy T. Q. Phan, Duc M. Bui, Cong T. Than +1
Fractals are ubiquitous natural emergences that have gained increased attention in engineering applications, thanks to recent technological advancements enabling the fabrication of…