Analysis of fluid equations by group methods

DOI10.1007/BF00042776zbMath0628.35004OpenAlexW2052518564MaRDI QIDQ5903460

Maria Clara Nucci, William F. Ames

Publication date: 1986

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042776

zbMATH Keywords

Lie groupNavier-Stokes equationKorteweg-de Vries equationfluid mechanicsBurger equationLin Tsien's equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Navier-Stokes equations (35Q30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Group method solutions of the generalized forms of Burgers, Burgers-KdV and KdV equations with time-dependent variable coefficients, Similarity solutions for unsteady free-convection flow from a continuous moving vertical surface., Self-similar solutions to Lin-Reissner-Tsien equation, Similarity solutions for magneto-forced-unsteady free convective laminar boundary-layer flow, Group theoretic methods applied to Burgers' equation, Group method analysis of unsteady free-convective laminar boundary-layer flow on a nonisothermal vertical circular cylinder, Group method analysis of unsteady free-convective laminar boundary-layer flow on a nonisothermal vertical flat plate, Similarity solutions for flow and heat transfer of non-Newtonian fluid over a stretching surface, Similarity solutions for the generalized equation of steady transonic gas flow with a singular source, Semi Analytical Solutions of a Heat-Mass Transfer Problem Via Group Theoretic Approach, Using group theoretic method to solve multi-dimensional diffusion equation, Group method analysis of steady free-convective laminar boundary-layer flow on a nonisothermal vertical circular cylinder

Uses Software

• MACSYMA
• LIE0

Cites Work

• Group properties and new solutions of Navier-Stokes equations
• Bäcklund transformations and their applications
• Similarity methods for differential equations
• Nonlinear partial differential equations in engineering. Vol. II
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