Nodivergent ko‘rinishdagi nochiziqli parabolik tenglamalar sistemasi chegaralanmagan yechimlarini tadqiq etish

Nodivergent ko‘rinishdagi nochiziqli parabolik tenglamalar sistemasi chegaralanmagan yechimlarini tadqiq etish

Authors

  • A.S.Matyakubov
  • J.I.Salimov

Abstract

Annotatsiya. Hozirgi kunda reaksiya-diffuziya jarayoni yoki hodisaning matematik modelini qurish
juda muhim jarayon hisoblanadi. Bu yerda bir tomondan qiyinchiliklarni hisobga olmasak, u holda
tenglamalar ko‗pligidan yechimini mavjud ma‘lumotlar yordamida olish deyarli mumkin emas. Boshqa
tomondan oddiylikka intilishda har xil fizik effektlarni hisobga olmasdan ketmaslikka yo‗l qo‗yib
bo‗lmaydi. Yaxshi tuzilgan matematik model – bu muvaffaqiyatning hammasi emas. Matematik usullar
oldindan fizikada uning eng qadimiy bo‗limi mexanikada qo‗llaniladi. Shuni ta‘kidlash kerakki fizika har
doim matematikani yangi masalalar bilan ta‘minlangan va u o‗z o‗rnida matematika fanida yangi
yo‗nalishlarni rivojlanishiga turtki bo‗lgan.

References

Зельдович Я.Б., Компанеец А.С. К теории распространения тепла при теплопроводности, зависящей от температуры. Сборник, посвященный 70-летию акад. А.Ф.Иоффе. М. 1950, с.61-71.

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AS Matyakubov. Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form. Universal Journal of Computational Mathematics 5 (3), 2017, 57-67.

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AS Matyakubov, DR Raupov. Explicit estimate for blow-up solutions of nonlinear parabolic systems of non-divergence form with variable density. AIP Conference Proceedings, Volume 2781, Issue 1, 020055 (2023).

Matyakubov A. S., Raupov D. R. Estimates of the blow-up solution of a cross-diffusion parabolic system not in divergence form. Bukhara–Samarkand–Tashkent. – 2019. – Т. 16. – С. 106.

M Aripov, AS Matyakubov, JO Xasanov. Global solvability and explicit estimation of solutions of a cross-diffusion parabolic system in non-divergent form with a source and variable density. Mathematics and its application. Contemporary mathematics and its application: abstracts of the international scientific conference 2021, 23-24.

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Published

2024-06-08

How to Cite

Matyakubov, A., & Salimov2, J. (2024). Nodivergent ko‘rinishdagi nochiziqli parabolik tenglamalar sistemasi chegaralanmagan yechimlarini tadqiq etish: Nodivergent ko‘rinishdagi nochiziqli parabolik tenglamalar sistemasi chegaralanmagan yechimlarini tadqiq etish. MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS, 1(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/397

Issue

Section

Mathematical modeling