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Stokes Problem

  • Mikhail Korobkov,
  • Konstantin Pileckas,
  • Remigio Russo

摘要

This chapter focuses on studying the boundary value problem for the linear stationary Stokes system in a bounded domain. Definitions of weak solutions are provided, and their existence and uniqueness are proven. The regularity of solutions is examined, and the results related to the Stokes operator are presented. These results are classical and can be found in numerous books on the theory of the Navier–Stokes equations.