Video library: M. S. Elaeva, B. A. Dubrovin, Asymptotic and numerical methods in study of the generalized Burgers equation

VIDEO LIBRARY


International Workshop «Geometric Structures in Integrable Systems» November 1, 2012 11:50, Moscow, M.V. Lomonosov Moscow State University

Asymptotic and numerical methods in study of the generalized Burgers equation M. S. Elaeva^a, B. A. Dubrovin^b ^a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics ^b International School for Advanced Studies (SISSA)
Abstract: We consider the generalized Burgers equation depending on a small parameter $ \epsilon >0$. For this equation we obtain asymptotic formula and present some heuristic arguments justifying its validity. Also we give numerical evidences supporting our conjectures. The finite element method was used for solving this equation. The finite element solution is compared with the asymptotic formula. Language: English