Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions
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Date
2017-04-05
Authors
Niu, Rui
Zheng, Hongtao
Zhang, Binlin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Clifford analysis, Variable exponent, Navier-Stokes equations, Half-space
Citation
Niu, R., Zheng, H., & Zhang, B. (2017). Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions. <i>Electronic Journal of Differential Equations, 2017</i>(98), pp. 1-21.
Rights
Attribution 4.0 International