1. Solving lubrication type equations for moving boundaries with nonlinear terms involving time derivatives of the highest order spatial derivatives:
Asymptotic models for the evolution of a circular biofilm, D. Alonso-Orán, A. Carpio, R. Granero-Belinchón, submitted 2026
2. About applied stochastic tools:
Charging capacitors using diodes at different temperatures. I. Theory, LL Bonilla, A Torrente, JM Mangum, PM Thibado, Physical Review E 113(1), 014123, 2026
Previous research
On the solution of boundary value problems set in domains with moving boundaries, A. Carpio, G. Duro, Mathematical Methods in Applied Sciences 48(10), 10427-10441, 2025
