Publications

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Listed below, are sorted by year, the publications appearing in the HAL open archive.

Symplectic Floer homology and the mapping class group
- Seidel Paul
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2002, 20, pp.219-229. We consider symplectic Floer homology in the lowest nontrivial dimension, that is to say, for area-preserving diffeomorphisms of surfaces. Particular attention is paid to the quantum cap product; we show that it distinguishes the trivial element of the mapping class group from any nontrivial one.
MULTIFLUID IONIZATION MODELS
- Buet Christophe
- Cordier Stéphane
- Raviart Pierre-Arnaud
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2002, 12, pp.17-48. In this paper, we present a multi-fluid ionization model. We prove that this stationary, mono-dimensional model has a maximal solution which is not global at variance with the mono-species case and we present a numerical method for solving this highly singular system of ordinary differential equations. Numerical results are compared with those obtained for other models.