Bibliographic Details
| Title: |
Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer. |
| Authors: |
Hajj Chehade, H.1,2 hana.hajj.chehade@u-picardie.fr, Jazar, M.2 mjazar@ul.edu.lb, Mourad, A.3 ayman_imag@yahoo.fr |
| Source: |
Applied Mathematics & Computation. Oct2014, Vol. 244, p101-117. 17p. |
| Subjects: |
Existence theorems, Uniqueness (Mathematics), Saline waters, Aquifers, Computer simulation |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
