This study investigates the unsteady flow of Powell-Eyring fluid past an inclined stretching sheet. Unsteadiness in the flow is due to the time-dependence of the stretching velocity and wall temperature. Mathematical analysis is performed in the presence of thermal radiation and non-uniform heat source/sink. The relevant boundary layer equations are reduced into self-similar forms by suitable t...

In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities u_{tt}-M(‖∇u‖²)△u+|u_{t}|^{p(x)-2}u_{t}=|u|^{q(x)-2}u. We proved the blow up of solutions in finite time by using modified energy functional method.

The thermo-elastic plate system of equations is analysed. The sufficient conditions of existence, uniqueness and continuity dependence on initial data of the Cauchy problem solutions for differentialoperational equation of mixed type (a part of the equation of hyperbolic type, and a part of parabolic type) are given in this paper. If the operational coefficients are suitably chosen, the investi...

James P. Lewis, Kurt R. Glaesemann, Gregory A. Voth, Jürgen Fritsch, Alexander A. Demkov, José Ortega, and Otto F. Sankey Henry Eyring Center for Theoretical Chemistry and Department of Chemistry, University of Utah, 315 S. 1400 E., Rm. 2020, Salt Lake City, Utah 84112-0850 Institut für Theoretische Physik, Univesität Regensburg, D-93040 Regensburg, Germany Physical Sciences Research Labs, Moto...

Much of the early application and evolution of the high-temperature parametric relationships to data for aluminum alloys were carried out during the 1950s and 1960s under the auspices of the MPC, then known as the Metals Properties Council (now the Materials Properties Council). However, the real origins of the relationships go back considerably further. The “rate process theory” was first prop...

We introduce the space BLD(Ω) consisting of all fields u : Ω → Rn defined on a domain Ω ⊂ Rn, whose symmetric gradient satisfies ∫ Ω |ε(u)|ln(1 + |ε(u)|) dx < ∞. These fields of bounded logarithmic defomation form a proper subspace of the class BD(Ω) consisting of all functions having bounded deformation. With the help of Reshetnyak’s representation formulas we prove that BLD(Ω) is compactly em...