Nonlinear boundary value problems in science and engineering
From MaRDI portal
Publication:5906241
zbMath0686.35001MaRDI QIDQ5906241
Publication date: 1989
Published in: Mathematics in Science and Engineering (Search for Journal in Brave)
shallow watersymmetry reductionssoil mechanicssuperposition principlesBäcklund and Lie transformations
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (48)
On the determining equations for the nonclassical reductions of the heat and Burgers' equation ⋮ Nonclassical symmetries as special solutions of heir-equations ⋮ On Non-Linear Radial Oscillations of an Incompressible, Hyperelastic Spherical Shell ⋮ Symmetry reductions and exact solutions of a class of nonlinear heat equations ⋮ Radial oscillations of thin cylindrical and spherical shells: investigation of Lie point symmetries for arbitrary strain-energy functions ⋮ Global actions of Lie symmetries for the nonlinear heat equation ⋮ Iterating the nonclassical symmetries method ⋮ Invariant difference schemes for the Ermakov system ⋮ Lorenz integrable system moves à la Poinsot ⋮ Properties and exact solutions of the equations of motion of shallow water in a spinning paraboloid ⋮ Squared eigenfunction symmetries for soliton equations. I ⋮ Squared eigenfunction symmetries for soliton equations. II ⋮ Symmetry analysis of the two-dimensional diffusion equation with a source term ⋮ Hidden linearity in systems for competition with evolution in ecology and finance ⋮ Nonlinear radial oscillations of a transversely isotropic hyperelastic incompressible tube ⋮ Comparison of Classical and Alternative Fluid Equations Using Symmetry Methods ⋮ The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation ⋮ Deformation of characteristic curves of the plane ideal plasticity equations by point symmetries ⋮ Exact solutions of Burgers equation with moving boundary ⋮ Lie symmetries of nonlinear boundary value problems ⋮ Similarity analysis of modified shallow water equations and evolution of weak waves ⋮ On the group classification of variable-coefficient nonlinear diffusion--convection equations ⋮ Lie symmetries, reduction and exact solutions of the \((1+2)\)-dimensional nonlinear problem modeling the solid tumour growth ⋮ Hodograph-type transformations ⋮ Nonclassical symmetries of evolutionary partial differential equations and compatibility. ⋮ Exact solutions to a class of quasilinear hyperbolic systems ⋮ Geometric approach for finding exact solutions to nonlinear partial differential equations ⋮ A Lie Group Analysis of the Axisymmetric Equations of Finite Elastostatics for Compressible Materials ⋮ Group theoretic methods applied to Burgers' equation ⋮ Optimal numerical algorithms ⋮ Gradient WEB-spline finite element method for solving two-dimensional quasilinear elliptic problems ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ Application to maximum principles to boundary value problems in nonlinear heat conduction ⋮ Nonclassical symmetries of a class of Burgers' systems ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods ⋮ Symmetries and exact solutions of the rotating shallow-water equations ⋮ Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube ⋮ Abelian versus non-abelian Bäcklund charts: some remarks ⋮ A novel Bäcklund invariance of a nonlinear differential equation ⋮ All solutions of standard symmetric linear partial differential equations have classical Lie symmetry ⋮ How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Potential symmetries of inhomogeneous nonlinear diffusion equations ⋮ Application of the Group-Theoretical Method to Physical Problems ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation ⋮ Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations ⋮ Nilpotent and recursive flows ⋮ Analytical techniques for solving the equation governing the unsteady flow of a polytropic gas with time-fractional derivative
This page was built for publication: Nonlinear boundary value problems in science and engineering
