New similarity reductions of the steady-state boundary layer equations

DOI10.1088/0305-4470/29/8/015zbMath0914.35095OpenAlexW1988806941MaRDI QIDQ4229777

Georgy I. Burde

Publication date: 14 June 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/8/015

zbMATH Keywords

exact solutionssimilarity reductionsboundary layer equationsgroup method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Solutions to PDEs in closed form (35C05)

Related Items (10)

Reductions of the stationary boundary layer equation with a pressure gradient ⋮ Parametrically defined nonlinear differential equations and their solutions: applications in fluid dynamics ⋮ Solutions to nonlinear partial differential equations from symmetry-enhancing and symmetry-preserving constraints ⋮ Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations ⋮ Group method solutions of the generalized forms of Burgers, Burgers-KdV and KdV equations with time-dependent variable coefficients ⋮ Evolution equations, invariant surface conditions and functional separation of variables ⋮ FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS ⋮ Lie symmetries of generalized Burgers equations: application to boundary-value problems ⋮ Reduction operators of Burgers equation ⋮ Similarity: Generalizations, applications and open problems

This page was built for publication: New similarity reductions of the steady-state boundary layer equations