Strong, surprising, and multifaceted effects of the width of the external surface layer Δ(ξ) and internal stresses on surface-induced pretransformation and phase transformations (PTs) are revealed. Using our further developed phase-field approach, we found that above some critical Δ(ξ)(*), a morphological transition from fully transformed layer to lack of surface pretransformation occurs for an...

We prove the existence of weak solutions with homogeneous boundary data for the following equations of Navier-Stokes type equations divσ + f = ∇π + (∇u)u, where u : R ⊃ Ω → R is the velocity field satisfying div u = 0 and f : Ω→ R and π : Ω→ R are the external volume forces resp. the pressure. In order to model the behaviour of Prandtl-Eyring fluids we assume the validity of the stress-strain r...