Abstract We give some adequate extension, in the framework of a general Lévy process, of our previous construction of processes with one-dimensional martingale marginals, done originally in the set-up of Brownian motion. The Lévy process framework allows us to streamline our previous arguments, as well as to reach a larger class of such processes, even in the Brownian case. We give some illustr...

We introduce a geometrical extension of the FitzHugh-Nagumo equations describing propagation electrical impulses in nerve axons. In this extension, axon is modeled as warped cylinder, rather than straight line, usually done, while pulses propagate on its surface, case with real prove stability for standard cylinder and existence pulse-like solutions cylinders whose radii are small vary slowly a...

The thermo-mechanical degradation of PET during extrusion was studied in the transient state. Active agents, water, causing hydrolysis by chain scission and pyromellitic dianhydride PMDA, extension, were added to flow as pulses. They change molecular weight, affecting its melt elasticity, which followed in-line a rheo-optical detector set an instrumented slit-die, measuring synchronously, press...