WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
A Doubly Nonlinear Parabolic Equations with a σ-Finite Measure as its Initial Value
Author:
Abstract: A class of equations ut − div~a(u, ∇u) = f(x, t),(x, t) ∈ ST = R N × (0, T), is considered. These equations arise in the study of turbulent filtration of gas or liquid through porous media. If the initial value is a σ-finite measure, the existence and and no existence of the solutions of the equation are researched