Entropy generation in an unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel plates in a rotating system have been analyzed. Both the lower and upper plates of the channel are subjected to asymmetric convective heat exchange with the ambient following the Newton's law of cooling. A numerical solution for governin...

the entanglement between a ?-type three-level atom and its spontaneous emission fields is investigated. the effect of spontaneously generated coherence (sgc) on entanglement between the atom and its spontaneous emission fields is then discussed. we find that in the presence of sgc the entanglement between the atom and its spontaneous emission fields is completely phase dependent, while in absen...

there are dierent ways to code the geodesic flows on surfaces with negative curvature. such code spaces give a useful tool to verify the dynamical properties of geodesic flows. here we consider special subspaces of geodesic flows on hecke surface whose arithmetic codings varies on a set with innite alphabet. then we will compare the topological complexity of them by computing their topologica...

We study a class of variational problems for regularized conservation laws with Lax's entropy-entropy flux pairs. first introduce modified optimal transport space based on diffusion. Using this space, we demonstrate that diffusion are “flux–gradient flows”. next construct these flows, which derive dual PDE systems laws. Several examples, including traffic flow and Burgers' equation, presented. ...