Presents the principle and application of passive solar energy g re enhouse with earth-to-air heat exchanger-storage system(EAHESS),and the ad vance in heat exchange model of EAHESS as well as the further study problems.
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
In a much cited article, Yau  proved that when the Ricci curvature is bounded uniformly below, then the only bounded solution to the heat equation ?tμ=Δμ on [0, ∞) × M which vanishes at t=0 is the one which vanishes evarywhere.
Well-posedness of a semilinear heat equation with weak initial data
In the first part the initial value problem (IVP) of the semilinear heat equation with initial data in is studied.
For the analogs of the heat and wave equation, we give algorithms for approximating the solution, and display the results of implementing these algorithms.