Potential symmetry studies on a rotating fluid system

DOI10.1155/2012/163689zbMath1237.76204OpenAlexW2048946590WikidataQ58705565 ScholiaQ58705565MaRDI QIDQ417240

Man Jia, Xiao-yan Tang, Sen-yue Lou, Fei Huang

Publication date: 14 May 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/163689

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05)

Cites Work

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• Existence for bounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains
• The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
• K symmetries and tau symmetries of evolution equations and their Lie algebras
• Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples
• Conservation laws and potential symmetries of systems of diffusion equations
• Lie symmetries and exact solutions of the barotropic vorticity equation
• Application of hereditary symmetries to nonlinear evolution equations
• Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
• Backlund transformations for the isospectral and non-isospectral MKdV hierarchies

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