Shruti Dubey

In this article, we analyze the dynamics of transverse domain walls in the framework of one-dimensional biaxial magnetic nanowires induced by the small applied magnetic fields. The evolution of magnetization in the nanowire is governed by the modified version of Landau-Lifshitz-Gilbert equation which consists of nonlinear dissipations namely dry-friction and viscous. We investigate the features of traveling wave solutions using the perturbation expansion technique. More precisely, we derive an expression for the zero order traveling wave solutions under the action of small and mild transverse magnetic fields.

In this article, we investigate the field-driven motion of magnetic fluids (ferrofluids) in ferromagnetic nanowire under the influence of its own inertia. We establish the results in the framework of modified Landau-Lifschitz-Gilbert equation of micromagnetism which comprise the nonlinear dissipation factors like dry-friction and viscous. We delineate the motion in both the dynamical regimes namely the steady-state and the precessional. In the end, the physical significance of the obtained results is discussed with an aid of numerical analysis.

This article concerns with the mathematical study of stability properties of steady-states for a two-dimensional network model of ferromagnetic nanowires. We consider the finite network model of ferromagnetic nanowires of semi-infinite length. We derive a sufficient condition independent of the size of the network under which the relevant configurations (steady-states) of magnetization are shown to be asymptotically stable. To be precise, we establish the result under certain condition on the length between the two consecutive nanowires. We use perturbation technique and energy method to derive the result.