46 citations · 102 across the 26 of their papers we have counts for
4 papers · 1 filter
Patterns of Non-Radial Solutions to Coupled Semilinear Elliptic Systems on a Disc
Z. Balanov, E. Hooton, W. Krawcewicz +1
In this paper, we prove the existence of non-radial solutions to the problem , on the unit disc with $u(z)\…
Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
We consider a reaction-diffusion system including discontinuous hysteretic relay operators in reaction terms. This system is motivated by an epigenetic model that describes the evo…
Pattern formation in parabolic equations containing hysteresis with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
We consider a reaction-diffusion system with discontinuous reaction terms modeled by non-ideal relays. The system is motivated by an epigenetic population model of evolution of two…
Well-posedness of parabolic equations containing hysteresis with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
We study complex systems arising, in particular, in population dynamics, developmental biology, and bacterial metabolic processes, in which each individual element obeys a relative…