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One Class of Regular Partially Invariant Solutions of the Navier–Stokes Equations

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Abstract

In this manuscript, regular partially invariant solutions of the Navier–Stokes equations with defect one and of rank one are studied. The results obtained show that the area of applications of the algorithm of constructing partially invariant solutions can be extended. It is also obtained Bäcklund transformations of a finite order tangency.

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Abbreviations

PIS:

partially invariant solutions

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Thailert, K. One Class of Regular Partially Invariant Solutions of the Navier–Stokes Equations. Nonlinear Dyn 43, 343–364 (2006). https://doi.org/10.1007/s11071-006-0153-3

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