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Weak-strong Uniqueness for Heat Conducting non-Newtonian Incompressible Fluids
[article]
2022
arXiv
pre-print
In this work, we introduce a notion of dissipative weak solution for a system describing the evolution of a heat-conducting incompressible non-Newtonian fluid. This concept of solution is based on the balance of entropy instead of the balance of energy and has the advantage that it admits a weak-strong uniqueness principle, justifying the proposed formulation. We provide a proof of existence of solutions based on finite element approximations, thus obtaining the first convergence result of a
arXiv:2109.10636v2
fatcat:ctg6lfc5xjbj5bttcnsblvcpty