To examine the effects of nonlocal thermoelastic parameters in a nanoscale semiconductor material, novel model with variable thermal conductivity is provided this study. The photothermal diffusion (PTD) processes chemical action are utilized framework governing equations. When elastic, thermal, and plasma waves interact, continuum theory used to create model. For main formulations get analytica...

The motion of temperature dependent viscosity and thermal conductivity of steady incompressible laminar free convective (MHD) non-Newtonian Casson fluid flow over an exponentially stretching surface embedded in a thermally stratified medium are investigated. It is assumed that natural convection is induced by buoyancy and exponentially decaying internal heat generation across the space. The dim...

We obtain global stability lobes of two models of turning processes with inherit nonsmoothness due to the presence of state-dependent delays. In the process, we transform the models with state-dependent delays into systems of differential equations with both discrete and distributed delays and develop a procedure to determine analytically the global stability regions with respect to parameters....

The paper is devoted to the local classification of generic control-affine systems on an n-dimensional manifold with scalar input for any n ≥ 4 or with two inputs for n = 4 and n = 5, up to state-feedback transformations, preserving the affine structure (in C∞ category for n = 4 and Cω category for n ≥ 5). First using the Poincare series of moduli numbers we introduce the intrinsic numbers of f...