5 citations · 18 across the 17 of their papers we have counts for
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math.NA2020★ 5 cited
A moving boundary approach of capturing diffusants penetration into rubber: FEM approximation and comparison with laboratory measurements
Surendra Nepal, Robert Meyer, Nils Hendrik Kröger +4
We propose a moving-boundary scenario to model the penetration of diffusants into dense and foamed rubbers. The presented modelling approach recovers experimental findings related…
math.AP2020★ 1 cited
A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams -- Proof of the strong solvability
T. Aiki, NH. Kröger, A. Muntean
In this article, we propose a macro-micro (two-scale) mathematical model for describing the macroscopic swelling of a rubber foam caused by the microscopic absorption of some liqui…
math.AP2020
Relaxation in population dynamics models with hysteresis
Sergey A. Timoshin, Toyohiko Aiki
The present paper is concerned with a nonlinear partial differential control system subject to a state-dependent and nonconvex control constraint. This system models the dynamics o…