3 papers
math.AP2025
Non-optimal domains for the helicity maximisation problem
Wadim Gerner
In [J. Cantarella, D. DeTurck, H. Gluck and M. Teytel, J. Math. Phys. 41:5615 (2000)] the helicity isoperimetric problem which asks to find a smooth domain of fixed volume which ma…
math.AP2025
Quantitative Gaffney and Korn inequalities
Wadim Gerner
We prove a homogeneous, quantitative version of Ehrling's inequality for the function spaces , which reflects ge…
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)\…