NEW projects    
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PhD dissertations    

Piotr Gwiazda
Institute of Applied Mathematics and Mechanics
University of Warsaw
Banacha 2,
02-097 Warsaw
phone: +48 22 5544456
fax: +48 22 5544700

The following NEW projects are open for candidates in spring 2011:
Project 18: Dirac concentrations in parabolic systems
Supervised by Piotr Gwiazda and Grzegorz Karch in collaboration with Benoit Perthame
The project is motivated by an interesting issue of the Darwinian evolution of a structured population density. We want to study the population dynamics with a special attention to selection and mutations processes. One can observe that different traits have different capacities to adapt to the environment, which results in a competition between the traits and consequently to the selection process. On the other hand, the new born individuals can have a trait slightly different from their parents, which means that a mutation took place. The population models that are proposed, are structured by a parameter representing a phenotipical trait. The mutation process is a stochastic process (like diffusion), which intuitively should lead after long time to the uniform distribution. However, this is not what we observe in nature. Read more
Project 19: On various aspects of behaviour of polymers
supervised by Piotr Gwiazda, Agnieszka Swierczewska-Gwiazda, in cooperation with Willi Jaeger, Josef Malek, Miroslav Bulicek
Our interest is directed to polymers. These are large molecules, which are made of repeating structures, like chains or more complicated structures. The primary examples of polymers appear in nature, like amber, cellulose or proteins. However, because of its interesting properties, synthetic polymers are widely produced. Among others we mention here paints, synthetic rubber, neoprene, nylon, PVC, polyester, teflon and silicone. Read more