Journal article 1554 views
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE
Luan Hoang,
Akif Ibragimov,
Thinh Kieu,
Zeev Sobol 
Journal of Mathematical Sciences
Swansea University Author:
Zeev Sobol
Abstract
We consider a non-linear Forchheimer equation for a slightly compressible fluid, which is a model for a non-Darcy porous media flow. We prove that the initial-boundary value problem for the equation is well-posed in Lp for a Forchheimer polynomial of any degree. Some asymtotic Lp bounds are establis...
| Published in: | Journal of Mathematical Sciences |
|---|---|
| Published: |
2015
|
| URI: | https://cronfa.swan.ac.uk/Record/cronfa22749 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract: |
We consider a non-linear Forchheimer equation for a slightly compressible fluid, which is a model for a non-Darcy porous media flow. We prove that the initial-boundary value problem for the equation is well-posed in Lp for a Forchheimer polynomial of any degree. Some asymtotic Lp bounds are established. |
|---|---|
| Item Description: |
The paper is accepted in Problemy Matematicheskogo Analiza (Problems in Mathematical Analysis). Journal of Mathematical Sciences (New York) publishes English versions of papers published in Russian journals. |
| College: |
Faculty of Science and Engineering |