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Viscosity approach to modelling non-isothermal diffusive phase separation

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Abstract

A nonlinear parabolic system with a singular evolution term, arising from modelling dynamic phenomena of the non-isothermal diffusive phase separation, is studied. The system is subject to constraints entering into the main part of one of the equations. In the paper, questions related to the existence and uniqueness of solutions to the singular problem are studied with the use of viscosity approximations. To this purpose, a special regularization technique has been applied to the singular evolution term.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Chiba University, 1-33 Yayoi-chõ, Inage-ku, 263, Chiba, Japan

    Nobuyuki Kenmochi

  2. Interdisciplinary Centre for Mathematical and Computational Modelling, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Marek Niezgódka

Authors
  1. Nobuyuki Kenmochi
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  2. Marek Niezgódka
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Kenmochi, N., Niezgódka, M. Viscosity approach to modelling non-isothermal diffusive phase separation. Japan J. Indust. Appl. Math. 13, 135–169 (1996). https://doi.org/10.1007/BF03167303

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  • DOI: https://doi.org/10.1007/BF03167303

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