Pleiades Publishing
Proceedings of the Steklov Institute of Mathematics
,  volume 288 ,  issue S1 ,  pages 180-188

One method for solving systems of nonlinear partial differential equations

Publication type: Journal Article
Publication date: 2015-04-15
Pleiades Publishing
scimago Q3
wos Q4
SJR: 0.322
CiteScore: 0.8
Impact factor: 0.4
ISSN: 00815438, 15318605
Mathematics (miscellaneous)
Abstract
A method for reducing systems of partial differential equations to corresponding systems of ordinary differential equations is proposed. A system of equations describing two-dimensional, cylindrical, and spherical flows of a polytropic gas; a system of dimensionless Stokes equations for the dynamics of a viscous incompressible fluid; a system of Maxwell’s equations for vacuum; and a system of gas dynamics equations in cylindrical coordinates are studied. It is shown how this approach can be used for solving certain problems (shockless compression, turbulence, etc.).
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Rubina L. I., Ulyanov O. N. One method for solving systems of nonlinear partial differential equations // Proceedings of the Steklov Institute of Mathematics. 2015. Vol. 288. No. S1. pp. 180-188.
GOST all authors (up to 50) Copy
Rubina L. I., Ulyanov O. N. One method for solving systems of nonlinear partial differential equations // Proceedings of the Steklov Institute of Mathematics. 2015. Vol. 288. No. S1. pp. 180-188.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1134/s0081543815020182
UR - https://doi.org/10.1134/s0081543815020182
TI - One method for solving systems of nonlinear partial differential equations
T2 - Proceedings of the Steklov Institute of Mathematics
AU - Rubina, L I
AU - Ulyanov, O N
PY - 2015
DA - 2015/04/15
PB - Pleiades Publishing
SP - 180-188
IS - S1
VL - 288
SN - 0081-5438
SN - 1531-8605
ER -
BibTex |
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BibTex (up to 50 authors) Copy
@article{2015_Rubina,
author = {L I Rubina and O N Ulyanov},
title = {One method for solving systems of nonlinear partial differential equations},
journal = {Proceedings of the Steklov Institute of Mathematics},
year = {2015},
volume = {288},
publisher = {Pleiades Publishing},
month = {apr},
url = {https://doi.org/10.1134/s0081543815020182},
number = {S1},
pages = {180--188},
doi = {10.1134/s0081543815020182}
}
MLA
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MLA Copy
Rubina, L. I., et al. “One method for solving systems of nonlinear partial differential equations.” Proceedings of the Steklov Institute of Mathematics, vol. 288, no. S1, Apr. 2015, pp. 180-188. https://doi.org/10.1134/s0081543815020182.