Global existence and large‐time behavior of a parabolic phase‐field model with Neumann boundary conditions
In this paper, we continue to study an initial boundary value problems to a model describing the evolution in time of diffusive phase interfaces in sea ice growth. In a previous paper, the global existence and the large‐time behavior of weak solutions in one space was studied under Dirichlet boundar...
Published in: | Mathematical Methods in the Applied Sciences |
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Main Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Wiley
2022
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Subjects: | |
Online Access: | http://dx.doi.org/10.1002/mma.8514 https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.8514 https://onlinelibrary.wiley.com/doi/full-xml/10.1002/mma.8514 |
Summary: | In this paper, we continue to study an initial boundary value problems to a model describing the evolution in time of diffusive phase interfaces in sea ice growth. In a previous paper, the global existence and the large‐time behavior of weak solutions in one space was studied under Dirichlet boundary conditions. Here, we show that the global existence of weak solutions and the large‐time behavior are also studied under Neumann boundary condition. In this paper, we study in space dimension lower than or equal to 3. |
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