The Solution of the modified Helmholtz equation in a wedge and an application to diffusion-limited coalescence

✍ Scribed by Daniel ben-Avraham; Athanassios S. Fokas

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 89 KB
• Volume: 263
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00698-2

✦ Synopsis

The general representation of the solution of the modified Helmholtz equation, q x, y q q x, y y 4b q x, y s 0,

has been recently constructed. Here we apply this representation in the wedge 0 F x F y F `and use this solution to find the explicit steady-state of diffusion-limited coalescence, A q A |A, on the half-line, with a trap-source at the origin.