A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type-Reference-Cited by-同舟云学术

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

Published:2001-02 Issue:1 Volume:18 Page:43-58
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

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

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF03167354.pdf

Reference9 articles.

1. T. Aiki and H. Imai, Blow-up points to one phase Stefan problems with Dirichlet boundary conditions. Modeling and Optimization of Distributed Parameter Systems (eds. K. Malanowski et al.), Chapman & Hall, 1996, 83–89.

2. H.W. Alt and L.A. Caffarelli, Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math.,325 (1981), 105–144.

3. H.W. Alt, L.A. Caffarelli and A. Friedman, A free boundary problem for quasi-linear elliptic equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci.,11 (1984), 1–44.

4. Y. Katano, T. Kawamura and H. Takami, Numerical study of drop formation from a capillary jet using a general coordinate system. Theoretical and Applied Mechanics34, Univ. Tokyo Press, 1986, 3–14.

5. K. Kikuchi and S. Omata, A free boundary problem for one dimensional hyperbolic equation. Adv. Math. Sci. Appl.,9(2) (1999), 775–786.

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1. EXISTENCE OF PERIODIC SOLUTIONS FOR A FREE BOUNDARY PROBLEM OF HYPERBOLIC TYPE;Journal of Hyperbolic Differential Equations;2008-12

2. Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena;Journal of Computational and Applied Mathematics;2003-03

3. Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2001-09-01