Existence of solutions of a nonlinear system modelling fluid flow in porous media
We investigate the existence of weak solutions for nonlinear differential equations that describe fluid flow through a porous medium. Existence is proved using the theory of monotone operators, and some examples are given.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-12-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/153/abstr.thml |
| id |
doaj-1624ac1126e44fbda141d61712a98dea |
|---|---|
| record_format |
Article |
| spelling |
doaj-1624ac1126e44fbda141d61712a98dea2020-11-24T22:13:33ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-12-012006153119Existence of solutions of a nonlinear system modelling fluid flow in porous mediadam BesenyeiWe investigate the existence of weak solutions for nonlinear differential equations that describe fluid flow through a porous medium. Existence is proved using the theory of monotone operators, and some examples are given.http://ejde.math.txstate.edu/Volumes/2006/153/abstr.thmlFlow in porous mediumnonlinear partial differential equationsmonotone operators. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
dam Besenyei |
| spellingShingle |
dam Besenyei Existence of solutions of a nonlinear system modelling fluid flow in porous media Electronic Journal of Differential Equations Flow in porous medium nonlinear partial differential equations monotone operators. |
| author_facet |
dam Besenyei |
| author_sort |
dam Besenyei |
| title |
Existence of solutions of a nonlinear system modelling fluid flow in porous media |
| title_short |
Existence of solutions of a nonlinear system modelling fluid flow in porous media |
| title_full |
Existence of solutions of a nonlinear system modelling fluid flow in porous media |
| title_fullStr |
Existence of solutions of a nonlinear system modelling fluid flow in porous media |
| title_full_unstemmed |
Existence of solutions of a nonlinear system modelling fluid flow in porous media |
| title_sort |
existence of solutions of a nonlinear system modelling fluid flow in porous media |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2006-12-01 |
| description |
We investigate the existence of weak solutions for nonlinear differential equations that describe fluid flow through a porous medium. Existence is proved using the theory of monotone operators, and some examples are given. |
| topic |
Flow in porous medium nonlinear partial differential equations monotone operators. |
| url |
http://ejde.math.txstate.edu/Volumes/2006/153/abstr.thml |
| work_keys_str_mv |
AT dambesenyei existenceofsolutionsofanonlinearsystemmodellingfluidflowinporousmedia |
| _version_ |
1725800645412257792 |