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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Generalized and classical solutions of the nonlinear stationary Navier-Stokes equations


Author: Victor L. Shapiro
Journal: Trans. Amer. Math. Soc. 216 (1976), 61-79
MSC: Primary 35Q10
DOI: https://doi.org/10.1090/S0002-9947-1976-0390550-X
MathSciNet review: 0390550
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Abstract: New regularity results in domains of Euclidean 3-space are established for the generalized solutions of the nonlinear stationary Navier-Stokes equations in terms of Dini criteria on the external force.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0390550-X
Keywords: Stationary Navier-Stokes equations, generalized solutions, classical solutions, nonlinear partial differential equations, Dini condition
Article copyright: © Copyright 1976 American Mathematical Society

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