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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…
math.AP2020
Periodic solutions of a phase-field model with hysteresis
Chen Bin, Sergey A. Timoshin
In the present paper we consider a partial differential system describing a phase-field model with temperature dependent constraint for the order parameter. The system consists of…