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Tomokazu MURAKAMI, Keiji NOMURA and Ken-ichiro HAMANAKA Applicability of liner and second order solutions of wave field inside and outside a rectangular harbour is investigated. The matching conditions are used without any simplification. The normal derivatives of the forced waves have unreasonable characteristics along the boundaries.This comes from the Gibbs phenomenon in the linear solution. But the linear waves calculated on the lines through the matching points have good agreements with the results with boundary element method concerned with the harbour resonances .

There are several papers concluding that the free long waves are generated to compensate the discontinuity of the forced long waves across the harbour (or channel) mouth. But the linear waves should be continuous across the mouth and the forcing terms in the free surface condition also should be continuous. Therefore, there is no reason for the forced waves to have discontinuity across the mouth.In the present paper, we re-analyze the problem of Bowers (1977) in more exact way and show that the numerical discontinuity of the forced waves comes from the Gibbs phenomenon of the Fourier analysis. Therefore this discontinuity has no physical meaning and do not generate the free long waves.

Non-detergent sulfobetaines (NDSBs) are known to stabilize many proteins, and we have found that NDSBs, in particular NDSB-256, potently stabilize rn2 muscarinic acetylcholine receptor

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