Seminar “On decay of the entropy solution of a scalar conservation law with a perturbed periodic initial function”

Seminar “On decay of the entropy solution of a scalar conservation law with a perturbed periodic initial function”

The event passed
2 Jun 2020
Location
Online
About the event

June 2, 18:00

Speaker

Professor E.Yu. Panov (Novgorod State University, Veliky Novgorod, Russia).

Title of the talk: On decay of the entropy solution of a scalar conservation law with a perturbed periodic initial function.

Abstact 

We consider the Cauchy problem for a scalar conservation law with an initial function represented as the sum of a periodic function and a function that vanishes at infinity (in the sense of measure). Provided that the flux function is not affine in any semi-vicinity of the mean value of initial data, we establish the long-time decay property of the entropy solution to a constant equal to this mean value. The non-linearity assumption on the flux function is demonstrated to be precise.

Online

Related eventsAll events
2023
26 Sep
Seminar “Solving the Vlasov equation using neural networks”
2023
26 Sep
Seminar “On solutions to initial boundary value problems for the Kawahara equation and its generalizations”
2023
20 - 22 Sep
International Conference “Food Quality Food Safety”
2023
21 Sep
Seminar “Mathematical modeling of EEG-dynamics”