3 papers
physics.plasm-ph2025
Influence of coil geometry and coil-plasma distance on the magnetic field approximation error
Wadim Gerner
We investigate analytically two questions: 1) How does the coil geometry influence the effect of electric current noise on the induced magnetic field? 2) How does the coil-plasma d…
math-ph2025
Kernel and image of the Biot-Savart operator and their applications in stellarator designs
Wadim Gerner
We consider the Biot-Savart operator acting on regular, div-free, surface currents \begin{gather} \nonumber \operatorname{BS}(j)(x)=\frac{1}{4π}\int_Σj(y)\…
math.AP2022
A unique continuation theorem for exterior differential forms on Riemannian manifolds with boundary
Wadim Gerner
Aronszajn, Krzywicki and Szarski proved in \cite{AKS62} a strong unique continuation result for differential forms, satisfying a certain first order differential inequality, on Rie…