Considering phase changes associated with a high-temperature molten material cooled down from the outside, this work presents an improvement of modelling and numerical simulation such processes for application pertaining to safety light water nuclear reactors. Postulating core meltdown accident, behaviour melt (aka corium) into steel vessel is tremendous importance when evaluating integrity. Ev...

<abstract><p>In this paper we study a ratio-dependent predator-prey model with free boundary caused by interaction over one dimensional habitat. We the long time behaviors of two species and prove spreading-vanishing dichotomy; namely, as $ t goes to infinity, both prey predator successfully spread whole space survive in new environment, or they within bounded area eventually die ou...

We study certain approximate solutions of a system of equations formulated in an earlier paper (Physica D 43 44–62 (1990)) which in dimensionless form are ut + γw(φ)t = ∇u, α φt = ∇φ+ F (φ, u), where u is (dimensionless) temperature, φ is an order parameter, w(φ) is the temperature– independent part of the energy density, and F involves the φ–derivative of the free-energy density. The constants...

The Fisher-Stefan model involves solving the Fisher-KPP equation on a domain whose boundary evolves according to Stefan-like condition. alleviates two practical limitations of standard when applied biological invasion. First, unlike equation, solutions have compact support, enabling one define interface between occupied and unoccupied regions unambiguously. Second, admits for which population b...

The video of a growing fullerene within a carbon nanotube, initiated by a tungsten catalyst, provides a dramatic realization of a complex nanoscale process. While there may be many detailed models which can account for this growth, we propose one of the simplest possible models which is consistent with the major observed features of the growth process. In particular, we assume that the fulleren...

Department for Geoand Environmental Sciences, GeobioCenter and Center for Nanoscience, Ludwig-Maximilians-Universität, Theresienstrasse 41, 80333 München, Germany *E-mail: [email protected] URL: www.nanobiomed.de Over the last 15 years, the use of atomic force microscopy (AFM) has spread from the materials science of hard matter to the fields of biology and biomolecular research....

The best stage in a scientist s career is ... when they can still do chemistry in the lab with their own hands. The biggest problem that scientists face is ...—sadly enough—to focus on science. The best advice I have ever been given is ... not to get frustrated over problems but to come up with respective solutions (J. M. J. Fr chet). A good work day begins with ... breakfast with the family, r...

The Mechanization of the Mind: On the Origins of of modelling and scientific explanation, the physics Cognitive Science, Jean-Pierre Dupuy, translated by of dissipative processes, aspects of neurophysiology M.B. DeBevoise, Princeton University Press, 2000, and embryology, and more, all without once trivializ$29.95 / £19.95, 240 pp. ISBN: 0-691-02574-6 ing his subject or falling victim to the us...

In the following, I will outline some implications of the Cologne program of “interactive constructivism” (founded by Kersten Reich) 1 for educational theory. I will proceed in three steps. In an introductory section, I will first briefly locate the Cologne program within the context of the so called „cultural turn“ in recent constructivist discourses. Secondly, I will introduce some main theor...