7 citations · 15 across the 10 of their papers we have counts for
10 papers
3D morphology formation in a mixture of three differently averse components
Emilio N. M. Cirillo, Nicklas Jävergård, Rainey Lyons +2
Film formation from solvent evaporation in polymer ternary solutions is relevant for several technological applications, such as the fabrication of organic solar cells. The perform…
Invariance properties of the solution operator for measure-valued semilinear transport equations
Sander C. Hille, Rainey Lyons, Adrian Muntean
We provide conditions under which we prove for measure-valued transport equations with non-linear reaction term in the space of finite signed Radon measures, that positivity is pre…
Pattern formation in three-state systems: Towards understanding morphology formation in the presence of evaporation
Emilio N. M. Cirillo, Rainey Lyons, Adrian Muntean +1
Inspired by experimental evidence collected when processing thin films from ternary solutions made of two solutes, typically polymers, and one solvent, we computationally study the…
A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn-Hilliard Equation
Rainey Lyons, Grigor Nika, Adrian Muntean
We present a finite-volume based numerical scheme for a nonlocal Cahn-Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal…
Tunable correlation retention: A statistical method for generating synthetic data
Nicklas Jävergård, Rainey Lyons, Adrian Muntean +1
We propose a method to generate statistically representative synthetic data from a given dataset. The main goal of our method is for the created data set to mimic the inter--featur…
Numerical Exploration of Nonlinear Dispersion Effects via a Strongly Coupled Two-scale System
Surendra Nepal, Vishnu Raveendran, Michael Eden +2
The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a s…
Strongly Coupled Two-scale System with Nonlinear Dispersion: Weak Solvability and Numerical Simulation
Vishnu Raveendran, Surendra Nepal, Rainey Lyons +2
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupl…
High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures
Azmy S. Ackleh, Rainey Lyons, Nicolas Saintier
In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space…
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system
Rainey Lyons, Emilio N. M. Cirillo, Adrian Muntean
We study a nonlinear coupled parabolic system with non-local drift terms modeling at the continuum level the inter-species interaction within a ternary mixture that allows the evap…
A Continuum Model for Morphology Formation from Interacting Ternary Mixtures: Simulation Study of the Formation and Growth of Patterns
Rainey Lyons, Stela Andrea Muntean, Emilio N. M. Cirillo +1
Our interest lies in exploring the ability of a coupled nonlocal system of two quasilinear parabolic partial differential equations to produce phase separation patterns. The obtain…