پیوندهای مفید
آمار
| تعداد نشریات | 33 |
| تعداد شماره‌ها | 886 |
| تعداد مقالات | 8,647 |
| تعداد مشاهده مقاله | 54,846,351 |
| تعداد دریافت فایل اصل مقاله | 10,325,271 |
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 | ||
| Department of Applied Mathematics, 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 | ||
| مراجع | ||
|
[1] D. Abdollahi, S. Ahdiaghdam, K. Ivaz, R. Shabani, A theoretical study for the vibration of a cantilever microbeam as a free boundary problem, Appl. Math. Model. 40 (2016) 1836-1849. [2] U. Arora, S. Gakkhar, R.S. Gupta, Removal model suitable for air pollutants emitted from an elevated source, Appl. Math. Model. 15 (1991) 386–389. [3] A.C. Briozzo, D.A. Tarzia, A Stefan problem for a non-classical heat equation with a convective condition, Appl. Math. Comp. 217 (2010) 4051–4060. [4] G.T. Csanady, D. Reidel, Turbulent Diffusion in the Environment, Dordrecht, Holland, 1973. [5] C.V. Chrysikopoulos, L.M. Hildemann, P.V. Roberts, A three-dimensional steady-state atmospheric dispersion-deposition model for emissions from a ground-level area source, Atmos. Environ. Part A. General Topics 26 (1992) 747–757. [6] L. Feng, Regional diffusion model on estimating long-term average concentration of atmospheric pollutants, Atmospheric Environment. Part A. General Topics 26 (1992) 2733–2735. [7] A. Friedman, Partial Differential Equation of Parabolic Type, Prentice-Hall, 1964. [8] A.J. Jakeman, B. Jun, J.A. Taylor, On the Variability of the Wind speed Exponent in Urban Air Pollution, Hemisphere Pub. Corp.& Springer Verlage, 1987. [9] A.J. Jakeman, R.W. Simpson, J.A. Taylor, Modeling distributions of air pollutant concentrations—III. The hybrid deterministic-statistical distribution approach, Atmos. Environ. 22 (1988) 163–174. [10] K. Jia-Yeong, S. Trivikrama Rao, K. Shankar Rao, Numerical simulation of air pollution in urban areas: Model development, Atmos. Environ., 21 (1987) 201–212. [11] V.V. Kharat, A.R. Reshimkar, On global existence and Ulam-Hyers stability of Ψ - Hilfer fractional integrodifferential equations, J. Math. Model. 9(1) (2021) 119–135. [12] P Melli, P. Zannetti, Environmental Modeling, Computational Mechanic Publication & Elsevier Applied Science, 1993. [13] J. Michalik, O. Machaczka, V. Jirik, T. Heryan, V. Janout, Air Pollutants over Industrial and Non-Industrial Areas: Historical Concentration Estimates, Atmosphere 13 (2022) 455. [14] P. Oyjinda, N. Pochai, Numerical Simulation to Air Pollution Emission Control near an Industrial Zone, Adv. Math. Phys. 2017 (2017) 5287132. [15] E.E. Pickett, Atmospheric Pollution, Hemisphere Publication, Springer Verlage, 1987. [16] L.I. Rubinstein, The Stefan Problem, Translations of Mathematical Monographs, American Mathematical Society, Rhode Island, 1971. [17] J.H. Seinfeld, S.N. Pandis, Atmospheric Chemistry and Physics: From Air Pollution to Climate Change, John Wiley & Sons, Hoboken, 2016. [18] S.D. Zawka, D.N.S. Pichika, Existence and optimal harvesting of two competing species in a polluted environment with pollution reduction effect, J. Math. Model. 9(4) (2021) 517–536. | ||
|
آمار تعداد مشاهده مقاله: 295 تعداد دریافت فایل اصل مقاله: 431 |
||