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

ВИДЕОТЕКА


International Workshop «Geometric Structures in Integrable Systems» 1 ноября 2012 г. 11:50, г. Москва, МГУ им. М.В. Ломоносова

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)
Аннотация: 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. Язык доклада: английский