10. Training Program

All participating teams have a long standing experience in a broad training of their doctoral students and Post Docs. In particular, their departments regularly offer graduate courses in hyperbolic or kinetic theory, the advanced theory of differential equations, asymptotic analysis, numerical methods and applied mathematics.

All teams have participated in the previous training networks ("Asymptotic methods in kinetic theory" or/and "Hyperbolic systems of conservation laws"), which have organized several summer schools, workshops etc in related topics . The teams have cooperated within and between these networks, by joint conferences and summer schools. Thus the proposed network has an extraordinary experience in training young scientists, not only locally, but also in collectively organizing this training.

The teams also have contacts with other groups in Europe, both Americas, Asia. E.g. the coordinating group hosts also an already approved INTAS network with"Eastern partners" and a submitted ALFA network for training collaboration with South America.

Transnational and interdisciplinary training of young scientists in these research topics and methods will significantly help to form a new European generation of applied mathematicians with sound and broad mathematical abilities, interdisciplinary capabilities, and orientation towards applications. The research topics cover a broad range with a common"scientific language" allowing for fast insertion of young researchers in the different teams.

Special training measures to be taken within the network

In addition to the research training of the Pre/Postdocs at the individual teams, the TC will organize training based on summer/winter schools, guided e.g. by the training programmes which the TOs send to the TC for each individual Network Pre/Postdoc, cf. chapter C.9.

Each young scientist will be assigned a personal supervisor from the host team, to help with scientific and practical problems.
Gender balance is a serious commitment of HYKE and in the case of equal qualification female applicants are preferred. Every team contains at least one female scientist who will help particular needs of female Pre/Postdocs, if needed. The TOs will be advised by the CO, in writing, to foster female participation. The female representative in the TC has effective power concerning gender balance in hiring decisions (cf chapter C.9).

A web-based information data base will be set up to make it easy to find the necessary information on practical matters concerning the mobility of young scientists in the respective country.

The coordination of individual training programmes, that involve two or more nodes, will be the responsibility of the training committee (TC), that will always have updated information on all training aspects, including the positions available.

Cofinancing Many training activities of HYKE will be embedded and cofinanced by other funding, both from public and industrial sources (cf C.12).

Already planned training activities
The research training activity of HYKE will be immediately connected to the training activity already planned, such that HYKE will be functional from the start of the contract.

The following events connected to the HYKE work programme are in preparation :

.) Spring school on Hamilton Jacobi equations, May 2002 in Vienna, organized by L. Cafarelli and P. Markowich (A1)
- summer school on Mathematical Aspects of Quantum Chaos , Aug. 2002 in Vienna
- Conference on Continuum Mechanics and PDEs , Dec. 2001 in Heidelberg, co-organized by H. Freistùhler, S. Müller (D2), A. Tzavaras (G1), D. Serre (F4).