7 citations · 15 across the 10 of their papers we have counts for
3 papers · 1 filter
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…