Journal article 1391 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 |
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| Published: |
2015
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa22749 |
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| 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. |
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| 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 |