Invariant submodels of the generalized Leith model of wave turbulence in a medium with nonstationary viscosity

DOI10.1134/S0021894419020159zbMath1462.35285OpenAlexW2948190933MaRDI QIDQ2319785

Yu. A. Chirkunov

Publication date: 20 August 2019

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894419020159

zbMATH Keywords

group analysisinvariant submodels``destructive wavesexact solutions of nonlinear differential equationsgeneralized phenomenological nonlinear Leith model of wave turbulenceunsteady viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems approach to turbulence (76F20) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Generalized equivalence transformations and group classification of systems of differential equations
• Invariant submodels and exact solutions of the generalization of the Leith model of the wave turbulence
• Submodels of the generalization of the Leith model of the phenomenological theory of turbulence and of the model of nonlinear diffusion in the inhomogeneous media without absorption
• Submodels of model of nonlinear diffusion in the inhomogeneous medium involving absorption
• Invariant solutions for the nonlinear diffusion model of turbulence

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