2 problems

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Neck concentration conjecture for interaction energy of paranematic particles
Consider a system of particles with arbitrary boundary conditions prescribed on the surfaces of the particles, and let the interaction energy denote the energy beyond the individua…
Conjectureopeninteraction-energies paranematic-colloids singular-perturbationarXiv posted 2 days ago
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Far-field distance dependence conjecture for paranematic-mediated particle interactions
Consider two spherical colloidal particles in a nematogenic medium, with the nonlinear Euler–Lagrange problem and its linearization around the state $u\equiv 0$ having the same rat…
Conjectureopenelliptic-pdes interaction-energies paranematic-colloidsarXiv posted 2 days ago

Neck concentration conjecture for interaction energy of paranematic particles