On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity
Roger Temam, Xiaoming Wang (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Roger Temam, Xiaoming Wang (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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K. Pileckas (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Patrick Dutto, Jean-Luc Impagliazzo, Antonin Novotny (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Piotr Bogusław Mucha (2004)
Applicationes Mathematicae
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We study solutions of the steady Navier-Stokes equations in a bounded 2D domain with the slip boundary conditions admitting flow across the boundary. We show conditions guaranteeing uniqueness of the solution. Next, we examine the structure of the solution considering an approximation given by a natural linearization. Suitable error estimates are also obtained.
Enrique Fernández-Cara, Francisco Guillén (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Piotr Kacprzyk (2009)
Applicationes Mathematicae
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Global existence of regular solutions to the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe with large inflow and outflow is shown. To prove the long time existence we need smallness of derivatives, with respect to the variable along the axis of the cylinder, of the external force and of the initial velocity in L₂-norms. Moreover, we need smallness of derivatives of inflow and outflow with respect to tangent directions to the boundary...
Elva Ortega-Torres, Marko Rojas-Medar (2009)
Rendiconti del Seminario Matematico della Università di Padova
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