On the regularity for solutions of the micropolar fluid equations
Elva Ortega-Torres, Marko Rojas-Medar (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “A note on the generic solvability of the Navier-Stokes equations”
On the regularity for solutions of the micropolar fluid equations
The Stokes system in the incompressible case-revisited
Rainer Picard (2008)
Banach Center Publications
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The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
Patrick Penel, Milan Pokorný (2004)
Applications of Mathematics
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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence
R. Farwig, H. Kozono, H. Sohr (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping
Kwang-Ok Li, Yong-Ho Kim (2023)
Applications of Mathematics
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This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids. ...
Schauder estimates for steady compressible Navier-Stokes equations in bounded domains
Patrick Dutto, Jean-Luc Impagliazzo, Antonin Novotny (1997)
Rendiconti del Seminario Matematico della Università di Padova
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On the nonstationary Navier-Stokes system
Tosio Kato, Hiroshi Fujita (1962)
Rendiconti del Seminario Matematico della Università di Padova
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A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain
Jishan Fan, Xuanji Jia, Yong Zhou (2019)
Applications of Mathematics
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This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain with the Navier-type boundary condition.