The stokes operator with rotation effect in exterior domains

Analysis (Germany)

Volumn 19, Issue 1, 1999, Pages 51-68

  Hishida, Toshiaki ^a  

^a NIIGATA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004451933     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1999.19.1.51     Document Type: Article

References (11)

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3. Borchers, W., Sohr, H.: On the equations rot v = g and div u = f with zero boundary conditions, Hokkaido Math. J. 19, 67–87 (1990).
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5. Hishida, T.: L2 theory for the operator A + (k x x) ? V in exterior domains, preprint.
6. Hishida, T.: An existence theorem for the Navier-Stokes flow in the exterior to a rotating obstacle, preprint.
7. Iwashita, H.: Lq-Lr estimates for solutions of the nonstationary Stokes equations in an exterior domain and the Navier-Stokes initial value problems in Lq spaces, Math. Ann. 285, 265–288 (1989).
8. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations, New York: Springer-Verlag 1983.
9. Shibata, Y.: On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain, Tsukuba J. Math. 7, 1–68 (1983).
10. Tanabe, H.: Equations of Evolution, London: Pitman 1979.
11. Temam, R.: Navier-Stokes Equations, 3rd (revised) ed., Amsterdam: North-Holland 1984.