## Abstract The integral equations arising from the Green's formula, applied to the two‐dimensional Helmholtz equation defined in a limited domain, are considered and the presence of instabilities in their numerical solution, when a real Green's function is adopted, is pointed out. A complete stud
An “exact” integral equation approach to the inverse problem in two-dimensional fluids
✍ Scribed by James R. Abney; John C. Owicki
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 377 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
It is shown that the Born-Green-Yvon integral equation can be used to extract interparticle pair potentials from two-and threeparticle distribution functions in certain two-dimensional fluids. The approach was tested against Monte Carlo data from two pairs of closely related inverse-power-law potentials and found satisfactory over a density regime from infinite dilution to near crystal packing.
📜 SIMILAR VOLUMES
## Abstract We suggest a new approach of reduction of the Neumann problem in acoustic scattering to a uniquely solvable Fredholm integral equation of the second kind with weakly singular kernel. To derive this equation we placed an additional boundary with an appropriate boundary condition inside t