Niu, RuiZheng, HongtaoZhang, Binlin2022-04-082022-04-082017-04-05Niu, 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. 1-21.1072-6691https://hdl.handle.net/10877/15630In 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.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalClifford analysisVariable exponentNavier-Stokes equationsHalf-spaceArticle