Non-smooth evolution of non-Newtonian flows influenced by thermal effects

Non-smooth evolution in thermo-viscoplastic flows is investigated. The nonlinear Norton-Hoff model coupled with the unsteady heat system govern the fluid motion. This contribution is an extension of the previous established works. The novelty of this paper is to supply a close scrutiny result of the spawned interface through the medium of the pervasive Schauder fixed point. Numerical results are exhibited to illustrate the effectiveness of the advocated approach.