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

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.

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