Global weak solutions exist for a thermodynamically consistent 3D thermo-viscoelastic Giesekus fluid model without smallness, regularity restrictions, or artificial stress diffusion.
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The Rajagopal-Srinivasa maximal entropy production principle equals a minimal relaxation-time principle in BGK kinetic models, enabling a hybrid Chapman-Enskog approach that recovers Euler and Navier-Stokes-Fourier laws.
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A kinetic interpretation of thermomechanical restrictions of continua
The Rajagopal-Srinivasa maximal entropy production principle equals a minimal relaxation-time principle in BGK kinetic models, enabling a hybrid Chapman-Enskog approach that recovers Euler and Navier-Stokes-Fourier laws.