Numerical investigation of some stationary solutions of the Carleman system
The negative stationary solutions of the boundary value problem for the Carleman system of equations are investigated. The kinetic Carleman system is a system of two nonlinear partial differential equations. The system describes the interaction of transportation and nonlinear processes. So, it is us...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2016-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/matecconf/20168604041 |
| _version_ | 1818445424047947776 |
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| author | Vasil’eva Olga |
| author_facet | Vasil’eva Olga |
| author_sort | Vasil’eva Olga |
| collection | DOAJ |
| description | The negative stationary solutions of the boundary value problem for the Carleman system of equations are investigated. The kinetic Carleman system is a system of two nonlinear partial differential equations. The system describes the interaction of transportation and nonlinear processes. So, it is used for mathematical modelling of problems in various fields: the kinetic theory of gasses, the gas dynamics, the chemistry, ecology, acoustics etc. In particular, the system can be used to describe autokatalys problems for research of building materials. We present and discuss results of numerical investigation of negative problem solution for different values of parameters. There are three problem parameters domains. For the first parameters domain the stationary solution has stable character, for the second parameters domain the stationary solution has stochastic character and for third domain the stationary solution has unstable character. |
| first_indexed | 2024-12-14T19:31:36Z |
| format | Article |
| id | doaj.art-ed5a638c65df43138075b4e817c1829a |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-14T19:31:36Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-ed5a638c65df43138075b4e817c1829a2022-12-21T22:50:04ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01860404110.1051/matecconf/20168604041matecconf_ipicse2016_04041Numerical investigation of some stationary solutions of the Carleman systemVasil’eva Olga0Moscow State University of Civil EngineeringThe negative stationary solutions of the boundary value problem for the Carleman system of equations are investigated. The kinetic Carleman system is a system of two nonlinear partial differential equations. The system describes the interaction of transportation and nonlinear processes. So, it is used for mathematical modelling of problems in various fields: the kinetic theory of gasses, the gas dynamics, the chemistry, ecology, acoustics etc. In particular, the system can be used to describe autokatalys problems for research of building materials. We present and discuss results of numerical investigation of negative problem solution for different values of parameters. There are three problem parameters domains. For the first parameters domain the stationary solution has stable character, for the second parameters domain the stationary solution has stochastic character and for third domain the stationary solution has unstable character.http://dx.doi.org/10.1051/matecconf/20168604041 |
| spellingShingle | Vasil’eva Olga Numerical investigation of some stationary solutions of the Carleman system MATEC Web of Conferences |
| title | Numerical investigation of some stationary solutions of the Carleman system |
| title_full | Numerical investigation of some stationary solutions of the Carleman system |
| title_fullStr | Numerical investigation of some stationary solutions of the Carleman system |
| title_full_unstemmed | Numerical investigation of some stationary solutions of the Carleman system |
| title_short | Numerical investigation of some stationary solutions of the Carleman system |
| title_sort | numerical investigation of some stationary solutions of the carleman system |
| url | http://dx.doi.org/10.1051/matecconf/20168604041 |
| work_keys_str_mv | AT vasilevaolga numericalinvestigationofsomestationarysolutionsofthecarlemansystem |