On vorticity formulation for viscous incompressible flows in R3+

Humiya Kosaka; Yasunori Maekawa

doi:10.1007/978-3-0348-0939-9_19

On vorticity formulation for viscous incompressible flows in R³₊

Humiya Kosaka, Yasunori Maekawa

SCI - Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

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.

Original language	English
Title of host publication	Recent Developments of Mathematical Fluid Mechanics
Editors	Yoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann
Publisher	Springer Verlag
Pages	351-374
Number of pages	24
ISBN (Print)	9783034809382
DOIs	https://doi.org/10.1007/978-3-0348-0939-9_19
Publication status	Published - 2016
Event	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan Duration: 2013 Mar 5 → 2013 Mar 9

Publication series

Name	Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
Volume	none

Other

Other	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
Country/Territory	Japan
City	Nara
Period	13/3/5 → 13/3/9

Keywords

Biot-Savart law
Navier-Stokes equations
Vorticity equations

ASJC Scopus subject areas

Fluid Flow and Transfer Processes

Access to Document

10.1007/978-3-0348-0939-9_19

Cite this

Kosaka, H., & Maekawa, Y. (2016). On vorticity formulation for viscous incompressible flows in R³₊. In Y. Giga, H. Kozono, M. Yamazaki, H. Okamoto, & H. Amann (Eds.), Recent Developments of Mathematical Fluid Mechanics (pp. 351-374). (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday; Vol. none). Springer Verlag. https://doi.org/10.1007/978-3-0348-0939-9_19

On vorticity formulation for viscous incompressible flows in R³₊. / Kosaka, Humiya; Maekawa, Yasunori.

Recent Developments of Mathematical Fluid Mechanics. ed. / Yoshikazu Giga; Hideo Kozono; Masao Yamazaki; Hisashi Okamoto; Herbert Amann. Springer Verlag, 2016. p. 351-374 (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday; Vol. none).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kosaka, H & Maekawa, Y 2016, On vorticity formulation for viscous incompressible flows in R³₊. in Y Giga, H Kozono, M Yamazaki, H Okamoto & H Amann (eds), Recent Developments of Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday, vol. none, Springer Verlag, pp. 351-374, International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013, Nara, Japan, 13/3/5. https://doi.org/10.1007/978-3-0348-0939-9_19

Kosaka H, Maekawa Y. On vorticity formulation for viscous incompressible flows in R³₊. In Giga Y, Kozono H, Yamazaki M, Okamoto H, Amann H, editors, Recent Developments of Mathematical Fluid Mechanics. Springer Verlag. 2016. p. 351-374. (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday). https://doi.org/10.1007/978-3-0348-0939-9_19

Kosaka, Humiya ; Maekawa, Yasunori. / On vorticity formulation for viscous incompressible flows in R³₊. Recent Developments of Mathematical Fluid Mechanics. editor / Yoshikazu Giga ; Hideo Kozono ; Masao Yamazaki ; Hisashi Okamoto ; Herbert Amann. Springer Verlag, 2016. pp. 351-374 (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday).

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