TY - JOUR
T1 - A Sturm–Liouville Problem Arising in the Atmospheric Boundary-Layer Dynamics
AU - Marynets, Kateryna
PY - 2020/9/1
Y1 - 2020/9/1
N2 - We present an approach that facilitates the generation of explicit solutions to atmospheric Ekman flows with a height-dependent eddy viscosity. The approach relies on applying to the governing equations, of Sturm–Liouville type, a suitable Liouville substitution and then reducing the outcome to a nonlinear first-order differential equation of Riccati type.
AB - We present an approach that facilitates the generation of explicit solutions to atmospheric Ekman flows with a height-dependent eddy viscosity. The approach relies on applying to the governing equations, of Sturm–Liouville type, a suitable Liouville substitution and then reducing the outcome to a nonlinear first-order differential equation of Riccati type.
KW - Dynamics of the atmosphere
KW - Sturm–Liouville problem
UR - http://www.scopus.com/inward/record.url?scp=85087283565&partnerID=8YFLogxK
U2 - 10.1007/s00021-020-00507-5
DO - 10.1007/s00021-020-00507-5
M3 - Article
AN - SCOPUS:85087283565
SN - 1422-6928
VL - 22
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
IS - 3
M1 - 41
ER -