Rui Niu, Hongtao Zheng, Binlin Zhang
Abstract:
In this article, we study the steady generalized Navier-Stokes equations
in a half-space in the setting of variable exponent spaces.
We first establish variable exponent spaces of Clifford-valued
functions in a half-space. Then, using this operator theory together
with the contraction mapping principle, we obtain the existence and uniqueness
of solutions to the stationary Navier-Stokes equations and Navier-Stokes
equations with heat conduction in a half-space under suitable hypotheses.
Submitted January 28, 2017. Published April 5, 2017.
Math Subject Classifications: 30G35, 35J60, 35Q30, 46E30, 76D03.
Key Words: Clifford analysis; variable exponent; Navier-Stokes equations;
half-space.
Show me the PDF file (339 KB), TEX file for this article.
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Rui Niu College of Power and Energy Engineering Harbin Engineering University 150001 Harbin, China email: ruiniu1981@gmail.com |
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Hongtao Zheng College of Power and Energy Engineering Harbin Engineering University 150001 Harbin, China email: zht-304@163.com |
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Binlin Zhang Department of Mathematics Heilongjiang Institute of Technology 150050 Harbin, China email: zhangbinlin2012@163.com |
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