On the existence for the Cauchy-Neumann problem for the Stokes system in the Lp-framework

Studia Mathematica

Volumn 143, Issue 1, 2000, Pages 75-101

  Mucha, Piotr Bogusław ^a   Zaja̧ czkowski, Wojciech ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

Cauchy Neumann initial boundary value problem; Existence of solutions; Marcinkiewicz theorem; Stokes system; The Fourier transform

Indexed keywords

EID: 0012114306     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-143-1-75-101     Document Type: Article

References (12)

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4. P. B. Mucha and W. Zaja̧czkowski, On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion, Appl. Math. (Warsaw) 27 (2000), 319-333.
5. _, _, On stability of equilibrium solutions of the free boundary problem for a viscous self-gravitating incompressible fluid, in preparation.
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7. _, On the nonstationary motion of an isolated volume of a viscous incompressible fluid, Izv. Akad. Nauk SSSR 51 (1987), 1065-1087 (in Russian).
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10. _, On the solvability of the second initial-boundary value problem for the linear nonstationary Navier-Stokes system, ibid. 69 (1977), 200-218 (in Russian).
11. H. Triebel, Spaces of Besov-Hardy-Sobolev Type, Teubner, Leipzig, 1978.
12. W. M. Zaja̧czkowski, On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993).