Explicitly solvable model for two-dimensional Helmholtz resonator with two close point-like windows is constructed. The model is based on the theory of self-adjoint extensions of symmetric operators. Limiting procedure is studied for the case where the distance between the windows tends to zero. A regularization is suggested.
TWO-DIMENSIONAL HELMHOLTZ RESONATOR WITH TWO CLOSE POINT-LIKE WINDOWS: REGULARIZATION FOR THE NEUMANN CASE
Rinaldi F;
2022-01-01
Abstract
Explicitly solvable model for two-dimensional Helmholtz resonator with two close point-like windows is constructed. The model is based on the theory of self-adjoint extensions of symmetric operators. Limiting procedure is studied for the case where the distance between the windows tends to zero. A regularization is suggested.File in questo prodotto:
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