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Analytic approaches to planar growth processes

Final Report Summary - CROISSANCE (Analytic approaches to planar growth processes)

Several serious advances has been done on the scientific subjects indicated in the work plan during reporting period. Majority of the project objectives have been achieved.
In particular advances have been made in:
• Study of competitive models of Laplacian growth, which resulted in publication in Journal of Statistical Physics: November 2011, Volume 145, Issue 4, pp 919-931
• Work on new applications of algebraically integrable systems in fluid dynamics, which resulted in publication in Analysis and Mathematical Physics: September 2013, Volume 3, Issue 3, pp 277-294
• Work on Schramm-Loewner and Levy-Loewner evolution: Two articles have been published in 1) Journal of Physics A: Mathematical and Theoretical Volume 45 Number 27, 275001, 2)Journal of Statistical Mechanics: Theory and Experiment, Volume 2013, April 2013, P04007
• The habilitation thesis entitled ”Integrable systems in theory of moving fronts”, which completely corresponds to the project objectives , has been successfully defended during the first year at the Fellow host institution (http://people.math.jussieu.fr/ aboutet/hdr/).
There has been no deviation from the project work plan.
The list of results, publications, including habilitation thesis, and the dissemination activities is provided in the attachement.

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