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Partially Invariant Solutions of the Navier-Stokes Equations by Using the Special Type of Coordinate Systems.

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Title: Partially Invariant Solutions of the Navier-Stokes Equations by Using the Special Type of Coordinate Systems.
Authors: Khamrod, Sopita1 kuntimak@nu.ac.th
Source: IAENG International Journal of Applied Mathematics. Mar2026, Vol. 56 Issue 3, p968-977. 10p.
Subjects: Navier-Stokes equations, Cartesian coordinates, Differential equations, Mathematical analysis
Abstract: The purpose of this article is to find some partially invariant solutions for the Navier-Stokes equations. These solutions are more difficult to find because the analysis of their compatibility is more complicated. The main problem is finding partially invariant solutions consists in studying the compatibility of a system of differential equations, which is obtained by substituting partially invariant solutions into the system of equations. Transformations from Cartesian coordinate systems to special coordinate systems are presented, and some partially invariant solutions are also found. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: Partially Invariant Solutions of the Navier-Stokes Equations by Using the Special Type of Coordinate Systems.
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Mar2026, Vol. 56 Issue 3, p968-977. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Cartesian+coordinates%22">Cartesian coordinates</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink>
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  Data: The purpose of this article is to find some partially invariant solutions for the Navier-Stokes equations. These solutions are more difficult to find because the analysis of their compatibility is more complicated. The main problem is finding partially invariant solutions consists in studying the compatibility of a system of differential equations, which is obtained by substituting partially invariant solutions into the system of equations. Transformations from Cartesian coordinate systems to special coordinate systems are presented, and some partially invariant solutions are also found. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Cartesian coordinates
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              Text: Mar2026
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