Abstract:Abstract. The paper deals with a nonlinear second-order parabolic equation with partial derivatives, which is usually called "the porous medium equation". It describes the processes of heat and mass transfer as well as filtration of liquids and gases in porous media. In addition, it is used for mathematical modeling of growth and migration of population. Usually this equation is studied numerically like most other nonlinear equations of mathematical physics. So, the construction of exact solution in an explici… Show more
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