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A theoretical study for air pollution model as a free boundary problem | ||
| Journal of Mathematical Modeling | ||
| دوره 14، شماره 1، خرداد 2026، صفحه 115-135 اصل مقاله (249.2 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.29478.2618 | ||
| نویسندگان | ||
| Karim Ivaz* ؛ Gader Darkhoshi | ||
| Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| This paper presents a theoretical investigation of an air pollution model formulated as a free boundary problem. The study examines the dynamics of pollutant dispersion in the atmosphere, where the boundaries of the polluted region are not fixed but evolve over time. Using advanced mathematical techniques and partial differential equations, we construct a model that accounts for various factors influencing air pollution, including emission sources, meteorological conditions, and chemical reactions. The incorporation of a free boundary framework provides a more realistic representation of pollutant spread and environmental interactions. To analyze the model, we employ the Friedman-Rubinstein integral representation method and apply the Banach contraction theorem to solve an equivalent nonlinear Volterra integral equation | ||
| کلیدواژهها | ||
| Air pollution؛ free boundary problem؛ Volterra’s integral equations؛ Green’s function | ||
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آمار تعداد مشاهده مقاله: 99 تعداد دریافت فایل اصل مقاله: 145 |
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