Partial Differential Equations

Most processes in geosciences vary with space and time. These processes are governed by conservation laws and constitutive relationships for various materials occurring in Earth. Combining these, we get laws of continuum physics written as partial differential equations. These equations are in general second-order partial differential equations. General strategy in solving these equations is to convert them into a set of ordinary differential equations by using the method of separation of variable, transformation methods, or numerical methods. We have presented these developments as applied to the study of processes related to the Earth.