87 citations · 396 across the 37 of their papers we have counts for
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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…
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization
Anna Marciniak-Czochra, Andro Mikelic
We present modeling of the incompressible viscous flows in the domain containing an unconfined fluid and a porous medium. For such setting a rigorous derivation of the Beavers-Jose…
Unstable patterns in reaction-diffusion model of early carcinogenesis
Anna Marciniak-Czochra, Grzegorz Karch, Kanako Suzuki
Motivated by numerical simulations showing the emergence of either periodic or irregular patterns, we explore a mechanism of pattern formation arising in the processes described by…