Wadim Gerner

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20232026

most citedProperties of the Biot-Savart operator acting on surface currents

4 citations · 4 across the 6 of their papers we have counts for

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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 $W^{- \frac{1}{2}, 2}$ regular, div-free, surface currents $j$ \begin{gather} \nonumber \operatorname{BS}(j)(x)=\frac{1}{4π}\int_Σj(y)\…

math-ph2023★ 4 cited

Properties of the Biot-Savart operator acting on surface currents

Wadim Gerner

We investigate properties of the image and kernel of the Biot-Savart operator in the context of stellarator designs for plasma fusion. We first show that for any given coil winding…