3 papers
math.GM2022
Vorticity Gramian of compact Riemannian manifolds
Louis Omenyi, Emmanuel Nwaeze, Friday Oyakhire +1
The vorticity of a vector field on 3-dimensional Euclidean space is usually given by the curl of the vector field. In this paper, we extend this concept to n-dimensional compact an…
math.SP2017
Generic Simplicity of a Schrödinger-type Operator on the Torus
Louis Omenyi, Emmanuel Nwaeze, McSylvester Omaba
The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a p…
math.PR2017
On Non-existence of Global Weak-predictable-random-field Solutions to a Class of SHEs
Ejighikeme McSylvester Omaba, Emmanuel Nwaeze, Louis Okechukwu Omenyi
The multiplicative non-linearity term is usually assumed to be globally Lipschitz in most results on SPDEs. This work proves that the solutions fail to exist if the non-linearity t…