It is a BVP for a system of three coupled ordinary differential equations of second order. Schauder's fixed point theorem is applied to show the existence of a solution in the Sobolev space H1.doi:10.1155/2010/701096Shuh-Jye ChernDepartment of MathematicsPo-Chun Huang...
I remember doing a compulsory course on dynamics as part of first-year mathematics at Cambridge University. To show us how to use some of the equations he'd been teaching us, the professor showed us that you cannot get into orbit with a single-stage rocket. He worked from first principles...
The thermoelectric properties have been evaluated by solving the Boltzmann semi-classical transport equations. The anisotropic power factor similar to SnSe is found in BaAgP also. The calculated power factor of 2.16 mW/mK2 at 700 K along a-axis is close to that of NbFeSb alloys, a promising ...
Boltzmann theory equations were solved to obtain energy (E), carrier concentration (n), temperature (T), Seebeck’s coefficient (S), electrical conductivity (𝜎σ), thermal conductivity (k), power factor (PF), and a dimensionless figure of merit (zT) according to the following equations [...
Since the 𝐶1C1 is equal to 𝐶2C2, the above two sets of two transfer functions can be simplified by the following two equations: Gid(s)=ÎL(s)d̂(s)=VdcsLGid(s)=I^L(s)d^(s)=VdcsL (8) Figure 8 shows a voltage balance controller in which the gains of two PI ...