The modeling, analysis, and numerical approximation of energy-transport models for semiconductor devices is reviewed. The derivation of the partial differential equations from the semiconductor Boltzmann equation is sketched. Furthermore, the main ideas for the analytical treatment of the equations, employing thermodynamic principles, are given. A new result is the proof of the weak sequential ...

We found new current-field equations including charge creation-annihilation fields. Although it is difficult to treat creation and annihilation of charge pairs for Maxwell’s equations, the new equations easily treat them. The equations cause the confinement of charge creation and annihilation centers, which means the charge conservation for this model. The equations can treat not only electroma...

fiber/ metal laminates (fmls) are hybrid composites consisting of alternating thin layers of metal sheets and fiber reinforced epoxy laminates. in this study, the effect of fiber orientation on impact properties of fml plates is investigated both analytically and experimentally. two groups of specimens were prepared and tested in two different levels of impactor energy. the indentation depth an...

Abstract. We develop the concept of an infinite-energy statistical solution to the Navier-Stokes and Euler equations in the whole plane. We use a velocity formulation with enough generality to encompass initial velocities having bounded vorticity, which includes the important special case of vortex patch initial data. Our approach is to use well-studied properties of statistical solutions in a ...

Purpose: Optimal nutritional support in childhood cancer relies on the adequate provision of energy. This study investigated impact chemotherapy resting energy expenditure (REE) during first six months treatment and accuracy predictive equations calculating said requirements newly diagnosed children with cancer.Methods: REE was measured at diagnosis utilising a validated bioelectrical impedance...

We prove new well-posedness results for energy-critical nonlinear Schrödinger equations in modulation spaces. This covers initial data with infinite mass and energy. The proof is carried out via bilinear refinements adapted function

We propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordonmodels. The equations encompass theN = 1 supersymmetric sine-Gordonmodel as well as the φid,id,adj perturbation of the SU(2)L×SU(2)K/SU(2)L+K models at rational level K. A second set of equations are proposed for the groundstate energy of the N = 2 supersymmetric sine-Gordon mo...

where the vector v(t, x) describes the velocity of the fluid at time t and space point x, positive constant ν is the viscosity, ρ is the constant density, f(t, x) is the (intensive) force and p(t, x) is the pressure. The above equations date back to the works of Navier (1823) and Stokes (1843) and modify the even older Euler equation (1755) by the addition of the dissipative term ν∆v . In most ...

The accuracy and effectiveness of various kinetic-energy functionals in providing total noninteracting kinetic energies, atomization kinetic energies, and equilibrium properties is evaluated. Employing converged Kohn-Sham densities, we assess various kinetic-energy functionals in a non-self-consistent manner. It is found that the gradient expansion, the Pearson-Gordon local truncation scheme, a...

A calculation of the current-quark-mass-dependence of nucleon static electromagnetic properties is necessary in order to use observational data as a means to place constraints on the variation of Nature’s fundamental parameters. A Poincaré covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is used to calculate this dependence. The re...