2003/02/11 by Oleg Kupervasser, Kupervasser, Oleg · 1 citation
Physics and Astronomy · #37C99 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #msc:37C99 #nlin.PS #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0302017
PhD thesis, 155 pages 34 figures made in Weizmann Institute of Science in English and in Russian
arxiv created 2012/07/10 · arxiv updated 2012/07/11
Problems of interface growth have received much attention recently Such are, for example, the duffusion limited aggregation (DLA), random sequential adsorption (RSA), Laplacian growth or flame front propagation. We will mainly pay attention in this Thesis to the numerical and analytical investigation of the last two problems. In addition to the fact that flame front propagation is an interesting physical problem we feel that we can also explain experimental results on the basis of theoretical investigations. There exists possibility to use methods found for the flame front propagation, in different fields where similar problems appear such as the important model of Laplacian growth .