@Article{JPDE-4-19, author = {Lu Guofu}, title = {Some Properties of Free Boundary for Solution of Porous Medium Equation with Gravity Term in One-dimension}, journal = {Journal of Partial Differential Equations}, year = {1991}, volume = {4}, number = {2}, pages = {19--35}, abstract = { Consider the degenerate parabolic equation (porous medium equation with gravity term): u_t = (u^m)_{xx} + (u^n)_x, -∞ < x < ∞, t > 0, m > 1 u(x, 0) = u_0(x), -∞ < x < ∞ The main results consist of the estimation of t^∗_i called waiting time, the behavior of pressure V = \frac{m}{m-1}u^{m-1} near a vertical or a nonvertical part of ς_i(t) and a condition of that ς_i(t) is continuously differentiable.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5765.html} }