题目: On the flow of implicitly constituted fluids
报告人：Erika Maringová, Charles University in Prague
摘要: In the talk, we study the Navier–Stokes-like and the Navier–Stokes– Fourier-like problems for the flows of homogeneous incompressible fluids. In the first part of the talk, we introduce a new type of boundary condition for the shear stress tensor, which includes the time derivative of the velocity. Therefore, we are able to capture the dynamic response of the fluid on the boundary. As the second part of the talk, we present the Navier–Stokes– Fourier-like problem formulated in the complete thermodynamic setting. In both parts, the constitutive relations are formulated implicitly with the use of maximal monotone graphs. The main result is the existence analysis for the above mentioned problems.