Generation and solutions to the time-space fractional coupled Navier-Stokes equations
In this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equati...
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VINCA Institute of Nuclear Sciences
2020-01-01
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doaj-ff8afd6370cc46c4a5131271dfae7af92021-02-05T08:41:46ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632020-01-01246 Part B3899390510.2298/TSCI2006899L0354-98362006899LGeneration and solutions to the time-space fractional coupled Navier-Stokes equationsLu Chang-Na0Chang Sheng-Xiang1Xie Luo-Yan2Zhang Zong-Guo3College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, ChinaCollege of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, ChinaCollege of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, ChinaIn this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation can be derived with the help of the fractional variational principles. The Agrawal’s method is devoted to lead to the time-space fractional coupled Navier-Stokes equations from the above Euler-Lagrange equation. The solution of the time-space fractional coupled Navier-Stokes equations is obtained by means of RPS algorithm. The numerical results are presented by using exact solutions.http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98362006899L.pdftime-space fractional coupled navier-stokes equationsagrawal’s methodresidual power series methodfractional derivatives |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lu Chang-Na Chang Sheng-Xiang Xie Luo-Yan Zhang Zong-Guo |
spellingShingle |
Lu Chang-Na Chang Sheng-Xiang Xie Luo-Yan Zhang Zong-Guo Generation and solutions to the time-space fractional coupled Navier-Stokes equations Thermal Science time-space fractional coupled navier-stokes equations agrawal’s method residual power series method fractional derivatives |
author_facet |
Lu Chang-Na Chang Sheng-Xiang Xie Luo-Yan Zhang Zong-Guo |
author_sort |
Lu Chang-Na |
title |
Generation and solutions to the time-space fractional coupled Navier-Stokes equations |
title_short |
Generation and solutions to the time-space fractional coupled Navier-Stokes equations |
title_full |
Generation and solutions to the time-space fractional coupled Navier-Stokes equations |
title_fullStr |
Generation and solutions to the time-space fractional coupled Navier-Stokes equations |
title_full_unstemmed |
Generation and solutions to the time-space fractional coupled Navier-Stokes equations |
title_sort |
generation and solutions to the time-space fractional coupled navier-stokes equations |
publisher |
VINCA Institute of Nuclear Sciences |
series |
Thermal Science |
issn |
0354-9836 2334-7163 |
publishDate |
2020-01-01 |
description |
In this paper, a Lagrangian of the coupled Navier-Stokes equations is
proposed based on the semi-inverse method. The fractional derivatives in the
sense of Riemann-Liouville definition are used to replace the classical
derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation
can be derived with the help of the fractional variational principles. The
Agrawal’s method is devoted to lead to the time-space fractional coupled
Navier-Stokes equations from the above Euler-Lagrange equation. The solution
of the time-space fractional coupled Navier-Stokes equations is obtained by
means of RPS algorithm. The numerical results are presented by using exact
solutions. |
topic |
time-space fractional coupled navier-stokes equations agrawal’s method residual power series method fractional derivatives |
url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98362006899L.pdf |
work_keys_str_mv |
AT luchangna generationandsolutionstothetimespacefractionalcouplednavierstokesequations AT changshengxiang generationandsolutionstothetimespacefractionalcouplednavierstokesequations AT xieluoyan generationandsolutionstothetimespacefractionalcouplednavierstokesequations AT zhangzongguo generationandsolutionstothetimespacefractionalcouplednavierstokesequations |
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1724283912073510912 |