Abstract
Abstract : A porous media equation (PME) has been used as a model for a number of physical phenomena: heat diffusion at high temperatures, boundary layer theory, spread of a thin layer of viscous material and mainly the flow of gas in a porous medium. The most distinctive characteristic of the solutions to (PME) as compared with the linear heat equation is the finite speed of propagation. In this paper the properties of the interfaces are studied in terms of the initial data. Sometimes the interface is stationary for a certain time and then begins to move: we characterize the existence of a positive waiting time and give bounds for it.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have