3 papers
math.NA2026
Physics-Informed Neural Network for Diffusion-Reaction Problems with Dead-Core Formation in Catalyst Slabs
Piotr Skrzypacz, Kaisar Tangirbergen, Jan Valdman
This work investigates a nonlinear two-point boundary value problem arising in diffusion--reaction processes in catalyst slabs with power-law kinetics and fractional reaction order…
math.NA2026
Numerical simulations for two-dimensional reaction-diffusion problems with formation of multiple dead zones
Piotr Skrzypacz, Boris Golman, Jan Valdman
The paper deals with dead-core solutions to an isothermal reaction-diffusion problem with power-law kinetics for a single reaction that takes place in a chemical reactor represente…
math.DS2018
Analysis of Dynamic Pull-in Voltage of a Graphene MEMS Model
P. Skrzypacz, S. Kadyrov, D. Nurakhmetov +1
Bifurcation analysis of dynamic pull-in for a lumped mass model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and…