Problemas de Stokes em regiões irregulares com cilindros
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2011Orientador
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Mestrado
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Abstract
We consider the Stokes’ problem in regions with cylindrical outlets to infinity connected by an arbitrary bounded domain. We impose an additional condition about the pressure behavior as |x| → +∞, in addition to the usual initial and boundary conditions over the velocity field. We present a problem proposed by D. Koch concerning such regions and conditions, and we formulate it in terms of more general ones. The techniques used in the well-known Leray’s problem allow the demonstration of the exi ...
We consider the Stokes’ problem in regions with cylindrical outlets to infinity connected by an arbitrary bounded domain. We impose an additional condition about the pressure behavior as |x| → +∞, in addition to the usual initial and boundary conditions over the velocity field. We present a problem proposed by D. Koch concerning such regions and conditions, and we formulate it in terms of more general ones. The techniques used in the well-known Leray’s problem allow the demonstration of the existence of solutions to the variational problem. ...
Instituição
Universidade Federal do Rio Grande do Sul. Instituto de Matemática. Programa de Pós-Graduação em Matemática Aplicada.
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Ciências Exatas e da Terra (5041)Matemática Aplicada (281)
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