The symmetry reductions of a turbulence model

DOI10.1088/0305-4470/34/18/304zbMath1002.35009OpenAlexW2009990774MaRDI QIDQ4552326

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Publication date: 1 September 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/18/304

zbMATH Keywords

optimal system of subalgebrasevolution of turbulent burstsBluman algorithmLie method of infinitesimals

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Fundamentals of turbulence (76F02) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Second-order parabolic systems (35K40)

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Explicit solutions for the \((2+1)\)-dimensional Jaulent-Miodek equation using the integrating factors method in an unbounded domain ⋮ Group Invariant Solution for a Two-Dimensional Turbulent Free Jet described by Eddy Viscosity ⋮ Lie analysis and novel analytical solutions for the time-fractional coupled Whitham-Broer-Kaup equations ⋮ A note on optimal systems of certain low-dimensional Lie algebras ⋮ A truncation method for solving the time-fractional Benjamin-Ono equation

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