ON A TIME PERIODIC PROBLEM FOR THE NAVIER-STOKES EQUATIONS WITH NONSTANDARD BOUNDARY DATA

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
R. Juodagalvytė ◽  
G. Panasenko ◽  
K. Pileckas

2006 ◽  
Vol 2006 ◽  
pp. 1-14 ◽  
Author(s):  
Eduard Feireisl ◽  
Josef Málek

We establish long-time and large-data existence of a weak solution to the problem describing three-dimensional unsteady flows of an incompressible fluid, where the viscosity and heat-conductivity coefficients vary with the temperature. The approach reposes on considering the equation for the total energy rather than the equation for the temperature. We consider the spatially periodic problem.


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