71 citations · 161 across the 22 of their papers we have counts for
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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…
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…
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…
Integral Asymptotics, Coalescing Saddles, and Multiple-scales Analysis of a Generalised Swift-Hohenberg Equation
Václav Klika, Mohit P. Dalwadi, Andrew L. Krause +1
Integral asymptotics play an important role in the analysis of differential equations and in a variety of other settings. In this work, we apply an integral asymptotics approach to…