Approximation and numerical results for phase field system by a fractional step scheme

Authors

  • Costică Moroşanu University of Iaşi, Romania
Abstract views: 154

Abstract

Not available.

Downloads

Download data is not yet available.

References

Agmon, S., Douglis, A. and Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, Comm. Pure Appl. Math. 12 (1959), pp.623-727.

Barbu, V., Analysis and Control of Nonlinear Infinite Dimensional systems, Academic Press, 1993.

Barbu, V., Nonlinear Semigroups and Differential Equations in Banach Spaces, Edit. Academiei Nordhoff, Leyden, 1976.

Barbu, V., Probleme la limită pentru ecuaţii cu derivatie parţiale, Editura Academiei Române, Bucureşti, 1993.

Barbu, V. and Iannelli, M., Approximating some non-linear equations by a Fractional step Scheme, Differential and Integral Equations 1 (1993), pp. 15-26.

Bates, P. W. and Zheng Songmu, Inertial manifolds and inertial sets for the phase-field equations, in vol. Dynamical systems, Plenum, (1992), pp. 375-398.

Brézis, H., Analyse Fonctionnelle. Théorie et Applications, Masson, Paris, 1993.

Brézis, H., Problème unilatéraux, J. Math. Pures. Appl. 51 (1972), pp. 1-168.

Caginalp, G., An analysis of a phase field model of a free boundary, Arch. Rat. Mech. Anal., 92 (1986), pp. 205-245.

Caginalp, G. and Nishiura, Y., The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit, Quartely Appl. Math. XLIX 1 (1991), pp. 147-162.

Elliot, C.M. and Zheng, S., Global existence and stability of solutions to the phase field equationsm in: Free Boundary Problems, K-H. Hoffman and J. Sprekels, eds., Int. Ser of Numerical Math. Vol. 95, Birkhäuser Verlag, Basel (1990).

Fife, C.P., Models for phase separation and their mathematics, nonlinear par diff egns, and appl., M. Mimura & T. Nishida, eds., (to appear).

Moroşanu, G., Nonlinear Evolution Equations and Applications, Reidel, Dordrecht, 1998.

Moroşanu, G., et al Controlul optimal al suprafeţei de solidificare în procesele de turnare continuă a otelului, Contract nr. 590-115, Etapa II-1993, Capitolul I.

Pavel, N. H., Differential Equations, Flow Invariance and Applications, Research Notes in Mathmatics, 113, Pitman Advanced Publishing Program (1984).

Vrabie, I., Compactness Methods for Nonlinear Evolutions, Longman Scientific and Technical, London, 1987.

Downloads

Published

1996-08-01

How to Cite

Moroşanu, C. (1996). Approximation and numerical results for phase field system by a fractional step scheme. Rev. Anal. Numér. Théor. Approx., 25(1), 137–151. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1996-vol25-nos1-2-art15

Issue

Vol 25, Nos 1-2 (1996)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.