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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.AP2019★ 5 cited
Bounds on the energy of a soft cubic ferromagnet with large magnetostriction
Raghavendra Venkatraman, Vivekanand Dabade, Richard D. James
We complete the analysis initiated in [5] on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for th…