Journal article 1481 views
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE
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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2015-08-02T02:04:28Z |
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2019-07-31T15:08:58Z |
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2019-07-31T14:21:56.4338773 v2 22749 2015-08-02 STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE f318e4c186ab19e3d3d3591a2e075d03 0000-0003-4862-427X Zeev Sobol Zeev Sobol true false 2015-08-02 SMA 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. Journal Article Journal of Mathematical Sciences 31 12 2015 2015-12-31 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 NANME Mathematics COLLEGE CODE SMA Swansea University 2019-07-31T14:21:56.4338773 2015-08-02T00:36:03.9436108 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Luan Hoang 1 Akif Ibragimov 2 Thinh Kieu 3 Zeev Sobol 0000-0003-4862-427X 4 |
title |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE |
spellingShingle |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE Zeev Sobol |
title_short |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE |
title_full |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE |
title_fullStr |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE |
title_full_unstemmed |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE |
title_sort |
STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE |
author_id_str_mv |
f318e4c186ab19e3d3d3591a2e075d03 |
author_id_fullname_str_mv |
f318e4c186ab19e3d3d3591a2e075d03_***_Zeev Sobol |
author |
Zeev Sobol |
author2 |
Luan Hoang Akif Ibragimov Thinh Kieu Zeev Sobol |
format |
Journal article |
container_title |
Journal of Mathematical Sciences |
publishDate |
2015 |
institution |
Swansea University |
college_str |
Faculty of Science and Engineering |
hierarchytype |
|
hierarchy_top_id |
facultyofscienceandengineering |
hierarchy_top_title |
Faculty of Science and Engineering |
hierarchy_parent_id |
facultyofscienceandengineering |
hierarchy_parent_title |
Faculty of Science and Engineering |
department_str |
School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics |
document_store_str |
0 |
active_str |
0 |
description |
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. |
published_date |
2015-12-31T03:26:57Z |
_version_ |
1763750988168036352 |
score |
11.021648 |