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Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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DIFFERENSIAL TENGLAMALAR VA STOKS FORMULASI

descriptionPublicationkeyboard_double_arrow_right Article 11 May 2026Publisher:Zenodo
Authors: Saliyeva Sevara Ma'mirbek qizi,; SHohobiddinova Kibriyoxon Donyorbek qizi;

doi: 10.5281/zenodo.20123097 , 10.5281/zenodo.20123098

DIFFERENSIAL TENGLAMALAR VA STOKS FORMULASI

Abstract

Ushbu maqolada zamonaviy matematik fizikaning fundamental asosi hisoblangan differensial shakllar va Stoks teoremasining o‘zaro bog‘liqligi chuqur tahlil qilinadi. Tadqiqotda klassik vektor tahlilidan tashqari, ko‘p o‘lchovli manifoldlarda (manifoldlarda) tashqi differensiallash operatorining xususiyatlari va ularning integral hisobi bilan aloqasi ko‘rib chiqiladi. Maqolaning asosiy qismi xususiy hosilali differensial tenglamalarni (XHDT) integral ko‘rinishga keltirish orqali ularning global yechimlarini topish va fizik maydonlarning topologik strukturasini aniqlashga qaratilgan. Xususan, Maksvell va Navye-Stoks tenglamalari misolida differensial shakllar yordamida uzluksizlik va konservativlik qonunlarining geometrik interpretatsiyasi keltirilgan. Tadqiqot natijalari murakkab tizimlarning energetik muvozanatini hisoblash va yuqori tartibli differensial formalar yordamida dinamik tizimlarni modellashtirish uchun nazariy zamin yaratadi.

Keywords

Stoks teoremasi, differensial shakllar, tashqi hosila, vektor maydonlari, topologik invariantlar, matematik fizika tenglamalari.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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