Scaling and self-similarity in two-dimensional hydrodynamics

DOI10.1063/1.4913852zbMath1374.76187OpenAlexW2073220346WikidataQ50872906 ScholiaQ50872906MaRDI QIDQ4591708

Ali Ercan, M. Levent Kavvas

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4913852

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Simulation of dynamical systems (37M05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Self-similar solutions to PDEs (35C06)

Related Items (1)

Self-similarity in incompressible Navier-Stokes equations

Cites Work

• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Similarity methods for differential equations
• Symmetry and integration methods for differential equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
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