23 citations · 76 across the 26 of their papers we have counts for
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q-bio.TO2011★ 5 cited
Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations
Yuriy Golovaty, Anna Marciniak-Czochra, Mariya Ptashnyk
In this paper we study pattern formation arising in a system of a single reaction-diffusion equation coupled with subsystem of ordinary differential equations, describing spatially…
math.AP2011★ 23 cited
Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion
Tasnim Fatima, adrian Muntean, Mariya Ptashnyk
We use the periodic unfolding technique to derive corrector estimates for a reaction-diffusion system describing concrete corrosion penetration in the sewer pipes. The system, defi…
math.AP2011
Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures
Mariya Ptashnyk
The introduced notion of locally-periodic two-scale convergence allows to average a wider range of microstructures, compared to the periodic one. The compactness theorem for the lo…