Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 1, Pages 93–99
DOI: https://doi.org/10.4213/faa4034 (Mi faa4034) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

The weak solvability of an inhomogeneous dynamic problem for a viscoelastic continuum with memory

V. G. Zvyagin, V. P. Orlov

Voronezh State University
Full-text PDF (500 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa4034
Abstract: The existence of a weak solution to the initial boundary value problem for the equations of motion of a viscoelastic fluid with memory along the trajectories of a nonsmooth velocity field with inhomogeneous boundary condition is proved. The analysis involves Galerkin-type approximations of the original problem followed by the passage to the limit based on a priori estimates. To study the behavior of trajectories of a nonsmooth velocity field, the theory of regular Lagrangian flows is used.
Keywords: viscoelastic continuum, a priori estimate, weak solution, regular Lagrangian flow, trajectory.
Funding agency Grant number
Russian Science Foundation 22-11-00103
Received: 19.07.2022
Revised: 07.09.2022
Accepted: 29.11.2022
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 1, Pages 74–79
DOI: https://doi.org/10.1134/S0016266323010082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Zvyagin, V. P. Orlov, “The weak solvability of an inhomogeneous dynamic problem for a viscoelastic continuum with memory”, Funktsional. Anal. i Prilozhen., 57:1 (2023), 93–99; Funct. Anal. Appl., 57:1 (2023), 74–79
Citation in format AMSBIB
\Bibitem{ZvyOrl23}
\by V.~G.~Zvyagin, V.~P.~Orlov
\paper The weak solvability of an inhomogeneous dynamic problem
for a viscoelastic continuum with memory
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 1
\pages 93--99
\mathnet{http://mi.mathnet.ru/faa4034}
\crossref{https://doi.org/10.4213/faa4034}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 1
\pages 74--79
\crossref{https://doi.org/10.1134/S0016266323010082}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85169794720}
Linking options:
  • https://www.mathnet.ru/eng/faa4034
  • https://doi.org/10.4213/faa4034
  • https://www.mathnet.ru/eng/faa/v57/i1/p93
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:145
    Full-text PDF :11
    References:16
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024