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

Abstract

We continue to study an initial boundary value problems to a model\ndescribing the evolution in time of diffusive phase interfaces in\nsea-ice growth. In a previous paper global existence and the long-time\nof behavior of weak solutions in one space was studied under Dirichlet\nboundary conditions. Here we show that the global existence of weak\nsolutions and the long-time behavior are also studied under Neumann\nboundary condition. In this paper we study in space dimension lower than\nor equal to $3$.