We derive an approximate energy barrier equation considering its adaptation to our model calculation employing the Néel-Arrhenius with Stoner-Wohlfarth grain or dot in magnetic recording. First, we calculate as a function of field by numerical for angle 0 180 deg between easy axis and field. This relation is represented 90 deg, taking account Pfeiffer’s approximation deg. Next, shape anisotropy...

We consider nontrivial finite energy traveling waves for the Landau–Lifshitz equation with easyplane anisotropy. Our main result is the existence of a minimal energy for these traveling waves, in dimensions two, three and four. The proof relies on a priori estimates related with the theory of harmonic maps and the connection of the Landau–Lifshitz equation with the kernels appearing in the Gros...

In summary, consistency between the inertial-frame and comoving-frame equations requires that all O(v/c) terms be retained in both gas-energy equations, in the radiation energy equation, and in the transformation laws between frames [see also (P4)]. In contrast, all O(v/c) terms can be omitted from the radiation momentum equation without loss of consistency. Finally, consider the inertial-frame...

The case when a partial differential equation (PDE) can be considered as an Euler-Lagrange (E-L) equation of an energy functional, consisting of a data term and a smoothness term is investigated. We show the necessary conditions for a PDE to be the E-L equation for a corresponding functional. This energy functional is applied to a color image denoising problem and it is shown that the method co...