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math.AP2012★ 5 cited
Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
When perfectly conducting or insulating inclusions are closely located, stress which is the gradient of the solution to the conductivity equation can be arbitrarily large as the di…
math.AP2010
Layer Potential Techniques for the Narrow Escape Problem
Habib Ammari, Kostis Kalimeris, Hyeonbae Kang +1
The narrow escape problem consists of deriving the asymptotic expansion of the solution of a drift-diffusion equation with the Dirichlet boundary condition on a small absorbing par…