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Analytic regularity of Stokes flow in polygonal domains

by B. Q. Guo and Ch. Schwab

(Report number 2000-18)

Abstract
We investigate the analytic regularity of the Stokes problem in a polygonal domain $\Omega \subset \R^2$ with straight sides and piecewise analytic data. We establish a shift theorem in weighted Sobolev spaces of arbitrary order with explicit control of the order-dependence of the constants. The shift-theorem in countably normed weighted Sobolev spaces implies in particular interior analyticity and Gevrey-type analytic regularity near the corners.

Keywords:

@Techreport{GS00_277,
  author = {B. Q. Guo and Ch. Schwab},
  title = {Analytic regularity of Stokes flow in polygonal domains},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2000-18},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2000/2000-18.pdf },
  year = {2000}
}

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