Published January 1, 2018 | Version v1
Publication Open

High-Speed Transmission in Long-Haul Electrical Systems

  • 1. Morelia Institute of Technology
  • 2. Universidad de Morelia

Description

We study the equations governing the high-speed transmission in long-haul electrical systems i∂tu-1/3∂x3u=iλ∂xu2u, t,x∈R+×R, u0,x=u0x, x∈R, where λ∈R, ∂xα=F-1ξαF, and F is the Fourier transformation. Our purpose in this paper is to obtain the large time asymptotics for the solutions under the nonzero mass condition ∫u0xdx≠0.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

ندرس المعادلات التي تحكم الإرسال عالي السرعة في الأنظمة الكهربائية للمسافات الطويلة itu- 1/3 x 3u=iλ xu2u و t و x R+×R و u0 و x=u0 x و x R، حيث λ R وxα=F-1 αF و F هو تحويل فورييه. هدفنا في هذه الورقة هو الحصول على المقاربات الزمنية الكبيرة للمحاليل تحت حالة الكتلة غير الصفرية0×د×0.

Translated Description (French)

Nous étudions les équations régissant la transmission à grande vitesse dans les systèmes électriques long-courriers i ∈ tu-1/3 ∈ x 3u=iλ ∈ xu2u ,t,x∈R+×R, u0,x=u0x, x∈R, où λ∈R, ∈ xα =F-1ξαF, et F est la transformation de Fourier. Notre but dans cet article est d'obtenir les asymptotiques à grand temps pour les solutions dans la condition de masse non nulle ∫u0xdx≠0.

Translated Description (Spanish)

Estudiamos las ecuaciones que rigen la transmisión de alta velocidad en sistemas eléctricos de larga distancia i... tu-1/3... x 3u=iλ... xu2u ,t,x∈R+×R, u0,x=u0x, x∈R, donde λ∈R,... xα =F-1... αF, y F es la transformación de Fourier. Nuestro propósito en este trabajo es obtener los asintóticos de gran tiempo para las soluciones bajo la condición de masa distinta de cero u0xdx≠0.

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Additional details

Additional titles

Translated title (Arabic)
ناقل الحركة عالي السرعة في الأنظمة الكهربائية طويلة المدى
Translated title (French)
Transmission à grande vitesse dans les systèmes électriques longue distance
Translated title (Spanish)
Transmisión de alta velocidad en sistemas eléctricos de larga distancia

Identifiers

Other
https://openalex.org/W2800016081
DOI
10.1155/2018/8236942

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Mexico

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