Interior pointwise C^1,α estimates for Stokes systems in divergence form

2023/04/07 by Rong Dong, Dongsheng Li, Dong, Rong +1
Mathematics · Computer Science · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Modeling in Engineering #Elasticity and Material Modeling

paper · pdf · doi:10.48550/arxiv.2304.03529

Abstract

Interior pointwise C^1,α estimates are established for Stokes systems in divergence form where no continuity in time variable is assumed for the coefficients and the given data. The estimates are attained by iteration and are presented by Campanato's characterization. The sharpness of the conclusions can be seen from Serrin's counterexample.

Related

• Interior Second Order Hölder Regularity for Stokes systems
• Interior L_p regularity for Stokes systems
• Gradient estimates for Stokes and Navier-Stokes systems with piecewise DMO coefficients
• Gradient estimates for Stokes systems with Dini mean oscillation coefficients
• L_q-estimates for stationary Stokes system with coefficients measurable in one direction