Convergence of Hydrodynamical Limits for Generalized Carleman Models

Author:

Miyoshi Hironari1,Tsutsumi Masayoshi1

Affiliation:

1. Waseda University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference18 articles.

1. [1] Carleman, T., Problèmes mathématiques dans la théorie cinétique des gaz, Publ. Sci. Inst. Mittag-Leffler. 2, Almqvist & Wiksells, Boktryckeri Ab, Uppsala, 1957.

2. [2] Caznave, T. and Haraux, A., An Introduction to Semilinear Evolution Equations, Oxford Lecture Series in Mathematics and its Application 13, The Clarendon Press, Oxford University Press, New York, 1998.

3. [3] Crandall, M. G. and Liggett, T., Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), 265-298.

4. [4] Fitzgibbon, W. F., The fluid-dynamical limit of the Carleman equation with reflecting boundary, Nonlinear Anal., 6 (1982), 695-702.

5. [5] Gasser, I. and Marcati, P., On a generalization of the "div-curl lemma", Osaka J. Math., 45 (2008), 211-214.

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