TY - JOUR
T1 - Boundary layer for a class of nonlinear pipe flow
AU - Han, Daozhi
AU - Mazzucato, Anna L.
AU - Niu, Dongjuan
AU - Wang, Xiaoming
N1 - Funding Information:
E-mail addresses: [email protected] (D. Han), [email protected] (A.L. Mazzucato), [email protected] (D. Niu), [email protected] (X. Wang). 1 Supported in part by National Science Foundation grant DMS-1008852. 2 Supported in part by National Science Foundation grants DMS-1009713 and DMS-1009714. 3 Supported in part by National Youth grant, China (No. 11001184). 4 Supported in part by National Science Foundation grant DMS-1008852, a COFRA award from FSU, and a 111 project from the Chinese Ministry of Education at Fudan University.
Funding Information:
This work was initiated while the last three authors were visiting the Institute for Mathematics and its Applications (IMA) at the University of Minnesota during the spring of 2010. The hospitality and support from IMA is greatly appreciated. The IMA receives major funding from the National Science Foundation and the University of Minnesota. The authors also acknowledge helpful conversations with Helena Nussenveig Lopes and Marco Sammartino.
PY - 2012/6/15
Y1 - 2012/6/15
N2 - We establish the mathematical validity of the Prandtl boundary-layer theory for a family of (nonlinear) parallel pipe flow. The convergence is verified under various Sobolev norms, including the physically important space-time uniform norm, as well as the L ∞(H 1) norm. Higher-order asymptotics is also studied.
AB - We establish the mathematical validity of the Prandtl boundary-layer theory for a family of (nonlinear) parallel pipe flow. The convergence is verified under various Sobolev norms, including the physically important space-time uniform norm, as well as the L ∞(H 1) norm. Higher-order asymptotics is also studied.
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U2 - 10.1016/j.jde.2012.02.012
DO - 10.1016/j.jde.2012.02.012
M3 - Article
AN - SCOPUS:84862806469
SN - 0022-0396
VL - 252
SP - 6387
EP - 6413
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 12
ER -