Abstract

We prove existence and uniqueness of radial weak solutions of the doubly nonlinear parabolic equationut=div[D(u)ϕ(∇u)],whereD and ϕ satisfy some hypothesis. This cover the particular case where D(s)=s(1-s) and ϕ(p)≔p/(1+|p|2) which is the hydrological case. Numerical simulations are provided also.

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