4 papers
Controlling Klein-Gordon Chains and Lattices
Sarah Strikwerda, Hung Vinh Tran, Minh-Binh Tran
In this work, we initiate the study of controlling nonlinear Klein-Gordon chains and lattices through their emergent collective flocking behavior. By constructing appropriate feedb…
Sharp Interface Dynamics in a Minimal Non-Reciprocal Cahn-Hilliard System
Daniel Gomez, Yoichiro Mori, Sarah Strikwerda
Interest in non-reciprocally coupled systems recently led to the introduction of a minimal non-reciprocally coupled Cahn-Hilliard (CH) model by Brauns and Marchetti in 2024 arXiv:2…
A hierarchy of blood vessel models, Part II: 3D-3D to 3D-1D and 1D
Laurel Ohm, Sarah Strikwerda
We propose and analyze a hierarchy of three models of blood perfusion through a tissue surrounding a thin arteriole or venule. Our goal is to rigorously link 3D-3D Darcy--Stokes, 3…
A hierarchy of blood vessel models, Part I: 3D-1D to 1D
Laurel Ohm, Sarah Strikwerda
We propose and analyze a family of models describing blood perfusion through a tissue surrounding a thin blood vessel. Our goal is to rigorously establish convergence results among…