The Cartesian analytical solutions for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity

EnGui FAN, Zhijun QIAO, Man Wai YUEN

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1 Citation (Scopus)

Abstract

In this paper, we prove the existence of general Cartesian vector solutions u = b (t) + A(t) x for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity, based on the matrix and curve integration theory. Two exact solutions are obtained by solving the reduced systems. Copyright © 2022 Institute of Theoretical Physics CAS, Chinese Physical Society and IOP Publishing.

Original languageEnglish
Article number105005
JournalCommunications in Theoretical Physics
Volume74
Issue number10
Early online dateSept 2022
DOIs
Publication statusPublished - Oct 2022

Citation

Fan, E., Qiao, Z., & Yuen, M. (2022). The Cartesian analytical solutions for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Communications in Theoretical Physics, 74(10). Retrieved from https://doi.org/10.1088/1572-9494/ac82ac

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