1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
Geometry-induced formation and merging of multiple dead zones in diffusion-reaction problems
Piotr Skrzypacz, Boris Golman, Jan Valdman
This study focuses on dead-core solutions for a two-dimensional isothermal reaction-diffusion problem involving a single chemical reaction described by power-law kinetics within a…
Periodic solutions and the avoidance of pull--in instability in non--autonomous micro--electro--mechanical systems
Shirali Kadyrov, Ardak Kashkynbayev, Piotr Skrzypacz +2
We study periodic solutions of a one-degree of freedom micro-electro-mechanical system (MEMS) with a parallel-plate capacitor under --periodic electrostatic forcing. We obtain a…
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…
A simple analysis of flying capacitor converter
S. Kadyrov, P. S. Skrzypacz, Y. L. Familiant
The paper aims to emphasise how switched systems can be analysed with elementary techniques which require only undergraduate-level linear algebra and differential equations. It is…
On the solvability of the Brinkman-Forchheimer-extended Darcy equation
Piotr Skrzypacz, Dongming Wei
The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence an…