Continuous symmetries of three-dimensional diffusion equations

DOI10.1007/BF00669789zbMath0585.35044OpenAlexW1974328247MaRDI QIDQ1071174

Willi-Hans Steeb

Publication date: 1985

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00669789

zbMATH Keywords

similarity solutionsconserved currentslinear diffusion equation invariantnonlinear three-dimensional diffusion equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Lie algebras of classical and stochastic electrodynamics ⋮ Similarity Solutions for Strong Shocks in an Ideal Gas ⋮ Solution spectrum of nonlinear diffusion equations

Cites Work

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• Symmetry groups and group invariant solutions of partial differential equations
• Similarity methods for differential equations
• Classical differential invariants and applications to partial differential equations
• Nonlinear partial differential equations in engineering
• Solutions to Non-Linear Reaction-Diffusion Equations in Two Space Dimensions
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• On the Transformation of Diffusion Processes into the Wiener Process
• Similarity solutions of nonlinear Dirac equations and conserved currents
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

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