Publications [#379850] of Xiaoqian Xu

Papers Published

1. Feng, Y; Li, L; Liu, JG; Xu, X, EXISTENCE OF WEAK SOLUTIONS TO p-NAVIER-STOKES EQUATIONS, Discrete and Continuous Dynamical Systems - Series B, vol. 29 no. 4 (April, 2024), pp. 1868-1890 [doi]
   (last updated on 2024/11/21)

   Abstract:
   We study the existence of weak solutions to the p-Navier-Stokes equations with a symmetric p-Laplacian on bounded domains. We construct a particular Schauder basis in W01, p(Ω) with divergence free constraint and prove existence of weak solutions using the Galerkin approximation via this basis. Meanwhile, in the proof, we establish a chain rule for the Lp integral of the weak solutions, which fixes a gap in our previous work. The equality of energy dissipation is also established for the weak solutions considered.