Smooth singular solutions of hyperplane fields. I

Smooth or Singular Solutions for the Navier - Stokes

Wavelets-Based Fractals in Gait Metin Akay School of Engineering Dartmouth College In this study, we attempt to classify the acceleration signals for walking along a corridor and on stairs by using the wavelet-based fractal analysis method. In addition, the wavelet-based fractal analysis method was used to evaluate the gait of elderly subjects and patients with Parkinson’s disease. The triaxial...

Smooth or singular solutions to the Navier – Stokes system ?

The existence of singular solutions of the incompressible Navier-Stokes system with singular external forces, the existence of regular solutions for more regular forces as well as the asymptotic stability of small solutions (including stationary ones), and a pointwise loss of smoothness for solutions are proved in the same function space of pseudomeasure type. 2000 Mathematics Subject Classific...

Reducible Hyperplane Sections I

Asymptotics of Multivariate Sequences , Part I : Smooth Points Ofthe Singular

Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...