Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss

We consider a reaction-diffusion system of KPP type in a shear flow and with a non-zero heat-loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagation speed in terms of the exponential decay of the initial data. We prove the existence of travelling fronts for all speeds c>max(0,c*) in the case Le=1, where c* ∈ ℝ. This seems to be one of the first non-perturbative results on the existence of fronts for the thermo-diffusive system in higher dimensions.     

Variational Analysis and Generalized Equations in Electronics

The paper is devoted to the study of the Aubin/Lipschitz-like property and the isolated calmness of a particular non-monotone generalized equation arising in electronics. The variational and non-smooth analysis is applied in the theory of non-regular electrical circuits involving electronic devices like ideal diodes, practical diodes, DIACs, silicon controlled rectifiers (SCR), and transistors. We also discuss the relationship of our results to the ones using classical techniques from (smooth) analysis and provide a simulation for several simple electrical circuits which are chosen in order to cover the most common non-smooth elements in electronics. The simulations of the electrical circuits discussed in this paper are performed by using Xcos (a component of Scilab).     

Zur Kenntnis der kolloidchemischen Eigenschaften) des Humus. Dioxanextraktion und Dispersitätschemie des Fichtenholzlignins

Ohne Zusammenfassung Zum Schlu? ist es mir ein Bedürfnis, meinem verehrten Lehrer, Herrn Prof. Dr. H. Pallmann, fiir sein Wohlwollen mir gegenüber aufrichtig zu danken. Seine wertvollen Ratschl?ge und sein reges Intere'sse am Fortgang der Untersuchungen waren mir eine st?ndige Hilfe.