Conservation laws via the partial Lagrangian and group invariant solutions for radial and two-dimensional free jets

DOI10.1016/j.nonrwa.2008.09.027zbMath1269.76022OpenAlexW1970082286MaRDI QIDQ1036773

F. M. Mahomed, D. P. Mason, Rahila Naz

Publication date: 13 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.09.027

zbMATH Keywords

conservation lawsgroup invariant solutionconserved quantitypartial Lagrangianradial jettwo-dimensional jet

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (10)

A recursion formula for the construction of local conservation laws of differential equations ⋮ Conservation laws for laminar axisymmetric jet flows with weak swirl ⋮ Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics ⋮ Group invariant solution for a free jet on a hemi-spherical shell ⋮ The analysis of conservation laws, symmetries and solitary wave solutions of Burgers–Fisher equation ⋮ Group-invariant solutions for two-dimensional free, wall, and liquid jets having finite fluid velocity at orifice ⋮ Conservation laws for some systems of nonlinear partial differential equations via multiplier approach ⋮ Nonclassical symmetry analysis of boundary layer equations ⋮ Applications of group theoretical methods to non-Newtonian fluid flow models: survey of results ⋮ Conservation laws for third-order variant Boussinesq system

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• Noether-type symmetries and conservation laws via partial Lagrangians
• RADIAL JETS WITH SWIRL
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Group Invariant Solution and Conservation Law for a Free Laminar Two-Dimensional Jet
• Symmetry Solutions of a Third-Order Ordinary Differential Equation which Arises from Prandtl Boundary Layer Equations
• Asymptotic Expansions in Radial Jets

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