Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
From MaRDI portal
Publication:5539881
DOI10.1137/0116018zbMath0157.40602OpenAlexW2013171884MaRDI QIDQ5539881
Publication date: 1968
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0116018
Related Items (40)
Group theoretic and similarity analysis of hyperbolic partial differential equations ⋮ Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method ⋮ Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods ⋮ Magnetohydrodynamic effects on natural convection flow of a nanofluid in the presence of heat source due to solar energy ⋮ Unnamed Item ⋮ Group method analysis for blood‐Mn‐ZnFe2O4 flow and heat transfer under ferrohydrodynamics through a stretched cylinder ⋮ Self-similar solutions of unsteady ablation flows in inertial confinement fusion ⋮ Similarity solutions for unsteady free-convection flow from a continuous moving vertical surface. ⋮ Group method solution for solving nonlinear heat diffusion problems ⋮ Soret and Dufour effects on MHD free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface: group theory transformation ⋮ Group similarity solutions of the Lax pair for a generalized Hirota-Satsuma equation ⋮ Group theoretic methods applied to Burgers' equation ⋮ Application of one-parameter groups of transformation in mechanics ⋮ Group theoretic method for unsteady free convection flow of a micropolar fluid along a vertical plate in a thermally stratified medium ⋮ Lie symmetries of generalized Burgers equations: application to boundary-value problems ⋮ Unsteady MHD combined convection over a moving vertical sheet in a fluid-saturated porous medium with uniform surface heat flux ⋮ Group analysis for natural convection from a vertical plate ⋮ Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage ⋮ Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method ⋮ Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate ⋮ Perturbation algebra of an elliptic operator ⋮ Group method analysis of melting effect on Mhd mixed convection flow from radiate vertical plate embedded in a saturated porous media ⋮ Group method analysis of mixed convection boundary-layer flow of a micropolar fluid near a stagnation point on a horizontal cylinder ⋮ An abstract approach to group invariance, with applications to differential equations ⋮ Group-invariant solutions of the Fokker-Planck equation ⋮ Group method analysis of combined heat and mass transfer by MHD non-darcy non-Newtonian natural convection adjacent to horizontal cylinder in a saturated porous medium ⋮ A new systematic formalism for similarity analysis ⋮ 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 ⋮ Some matrix aspects of generalized dimensional analysis ⋮ Advanced Ground Truth Multimodal Imaging Using Time Reversal (TR) Based Nonlinear Elastic Wave Spectroscopy (NEWS): Medical Imaging Trends Versus Non-destructive Testing Applications ⋮ Group method for temperature analysis of thermally stagnant lakes ⋮ Similarity solutions for flow and heat transfer of non-Newtonian fluid over a stretching surface ⋮ Group solution for unsteady free-convection flow from a vertical moving plate subjected to constant heat flux ⋮ Similarity analysis in magnetohydrodynamics: Hall effects on forced convective heat and mass transfer of non-Newtonian power-law fluids past a semi-infinite vertical flat plate ⋮ Application of the Group-Theoretical Method to Physical Problems ⋮ Group theoretic analysis and similarity solution for a nonlinear viscous rod subjected to time dependent velocity impact ⋮ 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 ⋮ Solution of the Rayleigh problem for a power-law non-Newtonian conducting fluid via group method.
This page was built for publication: Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
