On 22 February seminar will be held online only.
Speaker: Alexey Samokhin
Title: On perturbations retaining conservation laws of differential
equations
Language: English
Zoom:
https://us06web.zoom.us/j/8817121842?pwd=Sk1ja1BqbXBCZnlTNzVEMVhxanlJUT09
Zoom Passcode: 2202
Abstract:
The talk deals with perturbations of the equation that have a number of
conservation laws. When a small term is added to the equation its
conserved quantities usually decay at individual rates, a phenomenon
known as a selective decay. These rates are described by the simple law
using the conservation laws' generating functions and the added term.
Yet some perturbation may retain a specific quantity(s), such as energy,
momentum and other physically important characteristics of solutions. We
introduce a procedure for finding such perturbations and demonstrate it
by examples including the KdV-Burgers equation and a system from
magnetodynamics.
The seminar meets on Wednesday evenings at 19:20 MSK in Zoom,
Meeting ID: 88 17 12 1842
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