@inproceedings{ac6bb479c6614c8ba05efc178e7e1584,

title = "On vorticity formulation for viscous incompressible flows in R3+",

abstract = "In this paper we study the vorticity equations for viscous incompressible flows in the half space under the no-slip boundary condition on the velocity field. In particular, the boundary condition for the vorticity field is presented explicitly, and the solution formula for the linearized problem is obtained.",

keywords = "Biot-Savart law, Navier-Stokes equations, Vorticity equations",

author = "Humiya Kosaka and Yasunori Maekawa",

note = "Publisher Copyright: {\textcopyright} Springer Basel 2016.; International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata{\textquoteright}s 60th Birthday, 2013 ; Conference date: 05-03-2013 Through 09-03-2013",

year = "2016",

doi = "10.1007/978-3-0348-0939-9_19",

language = "English",

isbn = "9783034809382",

series = "Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday",

publisher = "Springer Verlag",

pages = "351--374",

editor = "Yoshikazu Giga and Hideo Kozono and Masao Yamazaki and Hisashi Okamoto and Herbert Amann",

booktitle = "Recent Developments of Mathematical Fluid Mechanics",

}