Solutions to a model with Neumann boundary conditions for sea-ice growth

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 global existence and the long-time of behavior of weak solutions in one space was studied under Dirichlet boundary conditions. Here...

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Bibliographic Details
Main Authors: Tang, Yangxin, Zheng, Lin
Format: Other/Unknown Material
Language:unknown
Published: Authorea, Inc. 2021
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Online Access:http://dx.doi.org/10.22541/au.163459006.60798296/v1
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Summary: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 global existence and the long-time of 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 long-time behavior are also studied under Neumann boundary condition. In this paper we study in space dimension lower than or equal to $3$.