2 papers
math.NA2026
Bulk-surface coupled PDE with an open boundary
Charles L. Epstein, Yoichiro Mori, Han Zhou
We study a bulk-surface coupled Laplace system involving an embedded open boundary. The problem is reformulated as an integro-differential equation using boundary integral represen…
math-ph2025
Solving the Scattering Problem for Open Wave-Guide Networks, II Outgoing Estimates
Charles L. Epstein
The paper continues the analysis, started in [1] (Part I,arXiv:2302.04353), of the model open wave-guide problem defined by 2 semi-infinite, rectangular wave-guides meeting along a…