Поредното заседание на Общия семинар на секция “Анализ, геометрия и топология” ще се проведе
на 15 ноември 2022 г. от 11:00 часа в зала 478 на ИМИ – БАН.
Доклад на тема:

Zener model with General fractional calculus: Thermodynamical Restrictions

ще изнесат Teodor M. Atanackovic и Stevan Pilipovic, Serbian Academy of Sciences and Arts and University of Novi Sad, Serbia.

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Резюме. We study a Zener type model of viscoelastic body within the context of general fractional calculus and derive restrictions on coefficients that follow from the dissipation inequality that is, the entropy inequality under isothermal conditions. We show, for a stress relaxation and a wave propagation, that the restrictions that follow from the entropy inequality are sufficient to guarantee the existence and uniqueness of the solution. We present numerical data related to the solution of a wave equation for several values of parameters.