Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions

Bum Ja Jin; Kyungkeun Kang

doi:10.1007/s00021-013-0157-y

Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions

Bum Ja Jin, Kyungkeun Kang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We consider the Liouville type problem of stationary non-Newtonian Navier-Stokes equations in the plane. We prove that weak solutions become trivial for both cases of some shear thickening and thinning flows.

Original language	English
Pages (from-to)	275-292
Number of pages	18
Journal	Journal of Mathematical Fluid Mechanics
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/s00021-013-0157-y
Publication status	Published - 2014 Jun

Bibliographical note

Funding Information:
Bum Ja Jin’s work was supported by NRF 2011-0007701 and Kyungkeun Kang’s work was supported by NRF-2009-0088692.

All Science Journal Classification (ASJC) codes

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s00021-013-0157-y

Cite this

@article{89f62db73e084471a6a3c43dc39dcfb9,

title = "Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions",

abstract = "We consider the Liouville type problem of stationary non-Newtonian Navier-Stokes equations in the plane. We prove that weak solutions become trivial for both cases of some shear thickening and thinning flows.",

author = "Jin, {Bum Ja} and Kyungkeun Kang",

note = "Funding Information: Bum Ja Jin{\textquoteright}s work was supported by NRF 2011-0007701 and Kyungkeun Kang{\textquoteright}s work was supported by NRF-2009-0088692.",

year = "2014",

month = jun,

doi = "10.1007/s00021-013-0157-y",

language = "English",

volume = "16",

pages = "275--292",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Birkhauser Verlag Basel",

number = "2",

}

TY - JOUR

T1 - Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions

AU - Jin, Bum Ja

AU - Kang, Kyungkeun

N1 - Funding Information: Bum Ja Jin’s work was supported by NRF 2011-0007701 and Kyungkeun Kang’s work was supported by NRF-2009-0088692.

PY - 2014/6

Y1 - 2014/6

N2 - We consider the Liouville type problem of stationary non-Newtonian Navier-Stokes equations in the plane. We prove that weak solutions become trivial for both cases of some shear thickening and thinning flows.

AB - We consider the Liouville type problem of stationary non-Newtonian Navier-Stokes equations in the plane. We prove that weak solutions become trivial for both cases of some shear thickening and thinning flows.

UR - http://www.scopus.com/inward/record.url?scp=84904660330&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904660330&partnerID=8YFLogxK

U2 - 10.1007/s00021-013-0157-y

DO - 10.1007/s00021-013-0157-y

M3 - Article

AN - SCOPUS:84904660330

SN - 1422-6928

VL - 16

SP - 275

EP - 292

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 2

ER -

Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this