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Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint

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  • In this paper, a system of parabolic initial-boundary value problems is considered as a possible PDE model of isothermal grain boundary motion. The solvability of this system was proved in [preprint, arXiv:1408.4204., by means of the notion of weighted total variation. In this light, we set our goal to prove two main theorems, which are concerned with the $ \Gamma $-convergence for time-dependent versions of the weighted total variations, and the large-time behavior of solution.
    Mathematics Subject Classification: Primary: 35B40, 35K87; Secondary: 35K67.


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