我的論文主要介紹水文地質學的平衡模型。我們先引進一些假設和符號並介紹水文地質學中的吸附運動。利用極大值原理證明方程式解的非負性，並由能量法證明解對微小攝動的穩定性。最後我們研究方程式的行進波解，證明行進波的存在性和研究不連續的行進波性質，並給出兩個例子來計算。 In this thesis we introduce the equilibrium model of hydrogeology. We give the notations and assumptions in hydrogeology and introduce the adsorption kinetics. The positive solutions of the model is studied by the maximum principle, and energy method is provided to get the stability of small perturbations. Moreover, the existence and behavior of traveling wave solutions to equilibrium model is considered. Finally, we study the discontinuous traveling waves and gives two applications.
