Webster's equation with curvature and dissipation
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equationwavewebstersolutionadditionalaveragesconsideredcontrol
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Wave propagation in curved tubular domains is considered. A general version of Webster's equation is derived from the scattering passive wave equation. More precisely, it is shown that planar averages of a sufficiently smooth solution of the wave equation satisfy the corresponding Webster's equation when the latter includes additional control signals determined by the solution.
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