Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer
Abstract We prove existence and uniqueness of radial weak solutions of the doubly nonlinear parabolic equation u t = div [ D ( u ) ϕ ( ∇ u ) ] , where D 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.