We consider the mapping properties of the integral operator arising in nonlocal slender body theory (SBT) for the model geometry of a straight, periodic filament. It is well known that the classical singular SBT integral operator suffers from high wavenumber instabilities, making it unsuitable for approximating the
Weakly nonlinear, bi‐periodic patterns of waves that propagate in the
- Award ID(s):
- 1716159
- NSF-PAR ID:
- 10390241
- Publisher / Repository:
- Wiley-Blackwell
- Date Published:
- Journal Name:
- Studies in Applied Mathematics
- Volume:
- 147
- Issue:
- 4
- ISSN:
- 0022-2526
- Page Range / eLocation ID:
- p. 1388-1408
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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