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The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on November 15, 2022 at 11:00 am (UTC+3)  in Room 478 of IMI.

A talk on:

Zener model with General fractional calculus: Thermodynamical Restrictions

 will be delivered by Teodor M. Atanackovic and Stevan Pilipovic, Serbian Academy of Sciences and Artand University of Novi Sad, Serbia.

Everybody is invited.

Abstract. 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.

This talk is part of the work program of a project (2020-2022) under the bilateral collaboration between the Bulgarian Academy of Sciences and the Serbian Academy of Sciences and Arts.

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