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Keywords:
large time behavior; exponential decay; nonlinear parabolic equation
large time behavior; exponential decay; nonlinear parabolic equation
Summary:
We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.
References:
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