3 papers
math.AP2026
Well-posedness of a generalized Stokes operator on domains with cylindrical ends via layer-potentials
Mirela Kohr, Victor Nistor, Wolfgang Wendland
We study the \emph{generalized Stokes operator} \begin{equation*} \bsXi \ede \bsXi _{V,V_0} \ede \left(\begin{array}{ccc} \bsL + V & \nabla \\ \nabla^* & -V_0 \end{array}\right) \e…
math.AP2025
Well-posedness of a generalized Stokes operator on smooth bounded domains via layer-potentials
Mirela Kohr, Victor Nistor, Wolfgang L. Wendland
We prove the invertibility of the relevant single and double layer potentials associated to some generalizations of the Stokes operator on bounded domains. In order to do that, we…
math.AP2024
Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors
George C. Hsiao, Tonatiuh Sánchez-Vizuet, Wolfgang L. Wendland
We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an in…