This says simply that the sum of the diffusive and radiative heat flux must be constant. The constant of integration is determined by the requirement that the net flux out of the surface of the icce must equal the total solar absorption in the ice layer plus the heat flux delivered to the base of the ice. We'll simplify the problem by assuming that there is no applied flux, and that the ice is thick enough that all the solar radiation is absorbed with none penetrating through into the ocean. In this case, the heat flux out of the top of the ice, —kt dT /dz, must equal the solar flux Fq (0), whence the constant of integration is zero. In this case, the temperature profile within the ice is r0 fq
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