On the time-periodic problem for the Stokes system in domains with cylindrical outlets to infinity

• Autores: V. Keblikas
• Localización: Lithuanian mathematical journal, ISSN 0363-1672, Vol. 47, Nº. 2, 2007, págs. 147-163
• Idioma: inglés
• DOI: 10.1007/s10986-007-0011-0
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• Resumen

  • We study the time-periodic Stokes problem in the domain with cylindrical outlets to infinity in weighted function spaces. We prove that there exists a unique solution with prescribed fluxes over the sections of outlets to infinity and that, in each outlet, this solution tends to the corresponding time-periodic Poiseuille flow.