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math.AP2026
Magnetic Stabilization of the Greenhill Instability and Hysteretic Switching in Slender Rods
Vivekanand Dabade, Likhit Ganedi, Mohd Tahseen +1
In a bulk ferromagnet, magnetic energy is six orders of magnitude weaker than elastic energy. Slenderness removes this disparity. In a thin ferromagnetic rod, the two energies scal…
math.AP2026
An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds
Zhonggan Huang, Raghavendra Venkatraman
We establish optimal convergence rates for Steklov eigenvalues and harmonically extended eigenfunctions toward their weighted Laplace--Beltrami counterparts on a closed manifold pe…
math.AP2026
Analytic spectral perturbation theory for a high-contrast Maxwell operator
Robert V. Kohn, Raghavendra Venkatraman
We study analytic spectral perturbation theory for the time-harmonic Maxwell operator in a perfectly electrically conducting cavity containing a high-contrast core--shell structure…