Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic a...
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| Format: | Article |
| Language: | English |
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University of Szeged
2016-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5335 |
| _version_ | 1797830580067368960 |
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| author | Veli Shakhmurov Aida Sahmurova |
| author_facet | Veli Shakhmurov Aida Sahmurova |
| author_sort | Veli Shakhmurov |
| collection | DOAJ |
| description | Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic and parabolic problems in mixed $L_p$ spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering. |
| first_indexed | 2024-04-09T13:38:21Z |
| format | Article |
| id | doaj.art-62aeed1abf82470d99780aaffa16f042 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:21Z |
| publishDate | 2016-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-62aeed1abf82470d99780aaffa16f0422023-05-09T07:53:06ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752016-12-01201611911610.14232/ejqtde.2016.1.1195335Degenerate parabolic equations appearing in atmospheric dispersion of pollutantsVeli Shakhmurov0Aida Sahmurova1Okan University, Engineering Faculty, Akfirat 34959, Istanbul, TurkeyOkan University, Akfirat 34959, Tuzla Istanbul, TurkeyLinear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic and parabolic problems in mixed $L_p$ spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5335differential-operator equationsdegenerate pdesemigroups of operatorsnonlinear problemsseparabile differential operatorspositive operators in banach spaces |
| spellingShingle | Veli Shakhmurov Aida Sahmurova Degenerate parabolic equations appearing in atmospheric dispersion of pollutants Electronic Journal of Qualitative Theory of Differential Equations differential-operator equations degenerate pde semigroups of operators nonlinear problems separabile differential operators positive operators in banach spaces |
| title | Degenerate parabolic equations appearing in atmospheric dispersion of pollutants |
| title_full | Degenerate parabolic equations appearing in atmospheric dispersion of pollutants |
| title_fullStr | Degenerate parabolic equations appearing in atmospheric dispersion of pollutants |
| title_full_unstemmed | Degenerate parabolic equations appearing in atmospheric dispersion of pollutants |
| title_short | Degenerate parabolic equations appearing in atmospheric dispersion of pollutants |
| title_sort | degenerate parabolic equations appearing in atmospheric dispersion of pollutants |
| topic | differential-operator equations degenerate pde semigroups of operators nonlinear problems separabile differential operators positive operators in banach spaces |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5335 |
| work_keys_str_mv | AT velishakhmurov degenerateparabolicequationsappearinginatmosphericdispersionofpollutants AT aidasahmurova degenerateparabolicequationsappearinginatmosphericdispersionofpollutants |