Conservation laws for heat equation on curved surfaces

DOI10.1016/j.nonrwa.2010.09.024zbMath1215.35019OpenAlexW2078475617MaRDI QIDQ533021

Yong-Cai Geng, Sumit K. Garg

Publication date: 2 May 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.09.024

zbMATH Keywords

partial Lagrangianpartial Noether operatorscoefficients of first fundamental form (FFF)

Mathematics Subject Classification ID

Heat equation (35K05) Invariance and symmetry properties for PDEs on manifolds (58J70) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Conserved quantities for a class of \((1 + n)\)-dimensional linear evolution equation ⋮ Effect of background geometry on symmetries of the \((1+2)\)-dimensional heat equation and reductions of the TDGL model

Cites Work

• A new conservation theorem
• Relationship between symmetries and conservation laws
• Kinetics of phase ordering on curved surfaces
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• The connection between isometries and symmetries of geodesic equations of the underlying spaces
• Noether-type symmetries and conservation laws via partial Lagrangians
• A comparison of four approaches to the calculation of conservation laws
• How to construct the discrete symmetries of partial differential equations
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations
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