Talk by Vít Průša

The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (October 7, 2019) in the room K2 from 9:00 till 10:30. The talk will be given by Vít Průša. Please see the details below.

Speaker: Vít Průša

Title: Thermodynamics and finite amplitude stability

Abstract: We show how to exploit the knowledge of the thermodynamic background in the study of nonlinear (finite amplitude) stability of steady solutions to the systems nonlinear partial differential equations governing the motion of continuous medium. In particular, we focus on thermodynamically open systems, that is on the case where the system of interest is allowed to interact with its surroundings, and where one has to investigate the stability of non-trivial steady states. Two applications of the proposed approach will be discussed — stability of the incompressible Navier-Stokes-Fourier fluid in a vessel with walls kept at spatially non-uniform temperature, and stability of a steady flow of a viscoelatic rate-type fluid.