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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Elva Ortega-Torres, Marko Rojas-Medar (2009)
Rendiconti del Seminario Matematico della Università di Padova
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K. K. Golovkin, A. Krzywicki (1967)
Colloquium Mathematicae
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Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fan, Jishan, Ozawa, Tohru (2008)
Journal of Inequalities and Applications [electronic only]
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Zujin Zhang, Weijun Yuan, Yong Zhou (2019)
Applications of Mathematics
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We review the developments of the regularity criteria for the Navier-Stokes equations, and make some further improvements.
Zujin Zhang, Chupeng Wu, Yong Zhou (2019)
Czechoslovak Mathematical Journal
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This paper concerns improving Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system, in the sense of multiplying certain negative powers of scaling invariant norms.
Jiří Neustupa, Milan Pokorný (2001)
Mathematica Bohemica
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We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.