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The Solution of the Modified Helmholtz Equation in a Wedge and an Application to Diffusion-Limited Coalescence

Daniel ben-Avraham·Athanassios S. Fokas
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Abstract

The general solution of the modified Helmholtz equation, q_{xx}(x,y)+q_{yy}(x,y)-4b^2q(x,y)=0, in the wedge 0 < x < y < infinity, is presented. This solution is used to find the explicit steady-state of diffusion-limited coalescence, A+A<-->A, on the half-line, with a trap-source at the origin.

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Daniel ben-Avraham, Athanassios S. Fokas. 1999-06-23. The Solution of the Modified Helmholtz Equation in a Wedge and an Application to Diffusion-Limited Coalescence. https://doi.org/10.1016/s0375-9601(99)00698-2

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