Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle

• Autorzy: Reinhard Farwig
• Języki publikacji: EN

Abstrakty

EN

Consider the problem of time-periodic strong solutions of the Stokes system modelling viscous incompressible fluid flow past a rotating obstacle in the whole space ℝ³. Introducing a rotating coordinate system attached to the body yields a system of partial differential equations of second order involving an angular derivative not subordinate to the Laplacian. In a recent paper [2] the author proved $L^q$-estimates of second order derivatives uniformly in the angular and translational velocities, ω and k, of the obstacle, whereas the transport terms fails to have $L^q$-estimates independent of ω. In this paper we clarify this unexpected behavior and prove weighted $L^q$-estimates of first order terms independent of ω.

Kategorie tematyczne

• 35C15: Integral representations of solutions
• 76D05: Navier-Stokes equations
• 76U05: Rotating fluids
• 35Q35: PDEs in connection with fluid mechanics
• 76D99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 73-84

Daty

wydano

2005

Twórcy

autor

Reinhard Farwig

• Fachbereich Mathematik, Darmstadt University of Technology, D-64283 Darmstadt, Germany

Identyfikatory

DOI

10.4064/bc70-0-5