Intro -- CONTENTS -- Preface -- 1 Continuum Models for Interacting Machines Dieter Armbruster, Pierre Degond, Christian Ringhofer -- 1.1 Introduction -- 1.2 Heuristic Models -- 1.2.1 Quasistatic Models -- 1.2.2 Advection-Diffusion Equations -- 1.2.3 Policies and Bottlenecks -- 1.2.3.1 Dispatch...

We consider a model of an active medium, including the processes of heat conduction, absorption and production. We assume that heat is produced only in bursts induced by the action of random pointlike pulses under the condition that, at the moment of a pulse, the temperature in the corresponding...

We study front motions in systems with first-order phase transitions where the low-temperature phase is characterized by a larger heat production. We find that such systems are able to support bistable propagation velocities for trigger fronts and stable stationary localized domains. Analytic...