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Invariant analysis, exact solutions and conservation laws of (2+1)-dimensional time fractional Navier–Stokes equations.
- Source :
-
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences . 6/30/2021, Vol. 477 Issue 2250, p1-20. 20p. - Publication Year :
- 2021
-
Abstract
- In this paper, we investigate the exact solutions and conservation laws of (2 + 1)-dimensional time fractional Navier–Stokes equations (TFNSE). Specifically, Lie symmetries and corresponding one-dimensional optimal system for TFNSE in Riemann–Liouville sense are obtained. Then, based on the admitted symmetries and optimal system, we reduce these equations to one-dimensional equations or (1 + 1)-dimensional fractional partial differential equations (PDEs) with the help of Erdélyi–Kober fractional differential operator and compound variable transformation. In addition, we solve the reduced PDEs applying power series expansion method and invariant subspace method, respectively. Furthermore, the conservation laws of TFNSE are derived using new Noether theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13645021
- Volume :
- 477
- Issue :
- 2250
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 151310572
- Full Text :
- https://doi.org/10.1098/rspa.2021.0220