3 papers
math.AP2025
A Weakly Nonlinear Theory for Pattern Formation in Structured Models with Localized Solutions
Wesley J. M. Ridgway, Mohit P. Dalwadi, Philip Pearce +1
Structured models, such as PDEs structured by age or phenotype, provide a setting to study pattern formation in heterogeneous populations. Classical tools to quantify the emergence…
cond-mat.soft2025
Effective permeability conditions for diffusive transport through impermeable membranes with gaps
Molly Brennan, Edwina F. Yeo, Philip Pearce +1
Membranes regulate transport in a wide variety of industrial and biological applications. The microscale geometry of the membrane can significantly affect overall transport through…
cond-mat.soft2025
A shear-induced limit on bacterial surface adhesion in fluid flow
Edwina F. Yeo, Benjamin J. Walker, Philip Pearce +1
Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theore…