Spatial asymptotics of mild solutions to the time-dependent Oseen system

On the Spatial Asymptotics of Solutions of the Toda Lattice

We investigate the spatial asymptotics of decaying solutions of the Toda lattice and show that the asymptotic behavior is preserved by the time evolution. In particular, we show that the leading asymptotic term is time independent. Moreover, we establish infinite propagation speed for the Toda lattice. All results are extended to the entire Toda as well as the Kac–van Moerbeke hierarchy.

The Single-Layer Potential Associated with the Time-dependent Oseen System

We consider a boundary value problem for the time-dependent Oseen system in a 3D exterior domain. This problem is reduced to an integral equation for the single-layer potential related to the that system. This integral equation, in turn, is solved by applying a result by Shen [11] pertaining to the evolutionary Stokes system. Since it automatically leads to an integral representation of the sol...

Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model

We introduce new model equations to describe the dynamics of the electric polarization in a ferroelectric material. We consider a thin cylinder representing the material with thickness ε and discuss the asymptotic behavior of the time harmonic solutions to the model when ε tends to 0. We obtain a reduced model settled in the cross-section of the cylinder describing the dynamics of the plane com...

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

from linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar

chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...