Abstract
We consider a special class of similarity solutions of the stationary Navier-Stokes equations and prove the existence of the solution for all the Reynolds numbers. We further prove that the solution exhibits interior and boundary layers as the Reynolds number tends to +∞ and −∞, respectively.
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Partly supported by the Grant-in-Aid for Scientific Research from JSPS #12740062.
Partly supported by the Grant-in-Aid for Scientific Research from JSPS #11304005.
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Nagayama, M., Okamoto, H. On the interior layer appearing in the similarity solutions of the Navier-Stokes equations. Japan J. Indust. Appl. Math. 19, 277–300 (2002). https://doi.org/10.1007/BF03167457
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DOI: https://doi.org/10.1007/BF03167457