TY - JOUR
T1 - Correction to
T2 - Numerical and asymptotic solutions of the pridmore-brown equation (AIAA Journal, 10.2514/1.J059140)
AU - Rienstra, Sjoerd W.
N1 - Publisher Copyright:
© AIAA International. All rights reserved.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021
Y1 - 2021
N2 - Correction Notice 1. This correction pertains to the word “uniform” in the paragraph just before section IIB, 12 lines below Equation (4), in the original article when it was first published online [https://doi.org/10.2514/1.J059140]. In detail: “This is almost, but not exactly, the case with uniform mean flow,::: ” should be “This is almost, but not exactly, the case with nonuniform mean flow,::: ”. Correction Notice 2. This correction pertains to the conclusion, following Equation (56), that “p0 constant” is the only solution of Equation (55), in the original article when it was first published online [https://doi.org/10.2514/1.J059140]. In detail: The solution of interest of Equation (55) is p0 constant. Its validity can simply be verified by substitution. However, the given proof that this solution is unique, is incomplete. Although we never use this uniqueness, and all that follows remains the same, we include this correction to avoid any confusion. The argument following Equation (56), that (formula presented) implies j∇p0 j 0 and thus p0 constant, is complete for any case where Re 0 is real, or u0 is uniform). For other cases, p0 constant is still the only eligible solution of Equation (55), but as yet we have not been able to prove its uniqueness.
AB - Correction Notice 1. This correction pertains to the word “uniform” in the paragraph just before section IIB, 12 lines below Equation (4), in the original article when it was first published online [https://doi.org/10.2514/1.J059140]. In detail: “This is almost, but not exactly, the case with uniform mean flow,::: ” should be “This is almost, but not exactly, the case with nonuniform mean flow,::: ”. Correction Notice 2. This correction pertains to the conclusion, following Equation (56), that “p0 constant” is the only solution of Equation (55), in the original article when it was first published online [https://doi.org/10.2514/1.J059140]. In detail: The solution of interest of Equation (55) is p0 constant. Its validity can simply be verified by substitution. However, the given proof that this solution is unique, is incomplete. Although we never use this uniqueness, and all that follows remains the same, we include this correction to avoid any confusion. The argument following Equation (56), that (formula presented) implies j∇p0 j 0 and thus p0 constant, is complete for any case where Re 0 is real, or u0 is uniform). For other cases, p0 constant is still the only eligible solution of Equation (55), but as yet we have not been able to prove its uniqueness.
UR - http://www.scopus.com/inward/record.url?scp=85099055603&partnerID=8YFLogxK
U2 - 10.2514/1.J059140.c1
DO - 10.2514/1.J059140.c1
M3 - Comment/Letter to the editor
AN - SCOPUS:85099055603
VL - 59
SP - 419
JO - AIAA Journal
JF - AIAA Journal
SN - 0001-1452
IS - 1
ER -