Abstract
We consider a radial elliptic-parabolic initial boundary value problem with flux conditions at the lateral boundary. This problem arises as a model for saturated-unsaturated flow in a porous medium. Using formal methods, we describe the nonuniform behaviour of the solutions near the extinction time, which is the time at which the unsaturated zone disappears. Borderline cases are particularly delicate and we include a physically important example in which the methods still apply. A related one-dimensional problem is also analysed, illustrating the widespread applicability of the methods used.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.