A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type

DOI10.1007/BF03167354zbMath0984.65097OpenAlexW1992434965MaRDI QIDQ5937415

Koji Kikuchi, Kazuaki Nakane, Tomomi Tachikawa, Hitoshi Imai, Seiro Omata

Publication date: 14 May 2002

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167354

zbMATH Keywords

asymptotic behaviorfree boundary problemmethod of linesvariational methodhyperbolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (4)

Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena ⋮ A hyperbolic free boundary problem and its numerical and mathematical analysis ⋮ Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type. ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR A FREE BOUNDARY PROBLEM OF HYPERBOLIC TYPE

Cites Work

• A free boundary problem for a quasilinear elliptic equation. I: Rectifiability of free boundary
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
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