Application of a reciprocal transformation to a two-phase Stefan problem
From MaRDI portal
Publication:3708447
DOI10.1088/0305-4470/18/3/002zbMath0583.35064OpenAlexW2025661899MaRDI QIDQ3708447
Publication date: 1985
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/18/3/002
Nonlinear parabolic equations (35K55) Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Free boundary problems for PDEs (35R35)
Related Items (36)
A nonlinear supercooled Stefan problem ⋮ Exact solution for a two-phase Stefan problem with power-type latent heat ⋮ Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations ⋮ Nonlinear Stefan problem with convective boundary condition in Storm's materials ⋮ Existence of an exact solution for a one-phase Stefan problem with nonlinear thermal coefficients from Tirskii's method ⋮ On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations ⋮ Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face ⋮ On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations ⋮ On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation ⋮ On Madelung systems in nonlinear optics: A reciprocal invariance ⋮ Explicit solutions for a two-phase unidimensional Lamé-Clapeyron-Stefan problem with source terms in both phases ⋮ On transport through heterogeneous media: application of conjugated reciprocal transformations ⋮ The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ One-dimensional non-Darcy flow in a semi-infinite porous media: a multiphase implicit Stefan problem with phases divided by hydraulic gradients ⋮ A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ Moving boundary problems for an extended Dym equation. Reciprocal connection ⋮ Moving boundary problems for the Harry Dym equation and its reciprocal associates ⋮ On an integrable deformed affinsphären equation. A reciprocal gasdynamic connection ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ On a class of reciprocal Stefan moving boundary problems ⋮ The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation ⋮ Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term ⋮ Evolution of methacrylate distribution during wood saturation ⋮ Explicit solutions for one-dimensional two-phase free boundary problems with either shrinkage or expansion ⋮ Moving Boundary Problems for Heterogeneous Media. Integrability via Conjugation of Reciprocal and Integral Transformations ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations ⋮ Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients ⋮ Nonlinear diffusion in arterial tissues: a free boundary problem ⋮ Dirichlet-to-Neumann Map for a Nonlinear Diffusion Equation ⋮ A Two-Phase Free Boundary Problem for the Nonlinear Heat Equation ⋮ Reciprocal transformations of two-component hyperbolic systems and their invariants ⋮ Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms ⋮ Free boundary problems with nonlinear diffusion
This page was built for publication: Application of a reciprocal transformation to a two-phase Stefan problem
