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STABILITY OF SOLUTIONS TO GENERALIZED FORCHHEIMER EQUATIONS OF ANY DEGREE

Luan Hoang, Akif Ibragimov, Thinh Kieu, Zeev Sobol Orcid Logo

Journal of Mathematical Sciences

Swansea University Author: Zeev Sobol Orcid Logo

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...

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Published in: Journal of Mathematical Sciences
Published: 2015
URI: https://cronfa.swan.ac.uk/Record/cronfa22749
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first_indexed 2015-08-02T02:04:28Z
last_indexed 2019-07-31T15:08:58Z
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spelling 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 11.035634

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