Prikladnaya Mekhanika i Tekhnicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Prikl. Mekh. Tekh. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 3, Pages 5–14
DOI: https://doi.org/10.15372/PMTF20210301 (Mi pmtf164) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Application of the method of differential constraints to systems of equations written in Riemann invariants

S. V. Meleshko, E. Shul'tz

Suranaree University of Technology (SUT), Nakhon Ratchasima, 30000 Thailand, 30000, Nakhon Ratchasima, Thailand
Full-text PDF (335 kB) First page Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.15372/PMTF20210301
Abstract: Solutions of one-dimensional equations of gas dynamics and the equations describing the behavior of a nonlinear elastic material are reduced to solving a system of homogeneous differential equations written in Riemann invariants. It is shown that the solution of the Cauchy problem for such a system allowing for a differential constraint is reduced to solving a system of ordinary differential equations. Examples of solutions for certain initial data are given.
Keywords: method of differential constraints, Riemann invariants, gas dynamics equations, equations of nonlinear elasticity.
Received: 25.02.2021
Revised: 25.02.2021
Accepted: 01.03.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 3, Pages 351–360
DOI: https://doi.org/10.1134/S0021894421030019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. V. Meleshko, E. Shul'tz, “Application of the method of differential constraints to systems of equations written in Riemann invariants”, Prikl. Mekh. Tekh. Fiz., 62:3 (2021), 5–14; J. Appl. Mech. Tech. Phys., 62:3 (2021), 351–360
Citation in format AMSBIB
\Bibitem{MelShu21}
\by S.~V.~Meleshko, E.~Shul'tz
\paper Application of the method of differential constraints to systems of equations written in Riemann invariants
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 3
\pages 5--14
\mathnet{http://mi.mathnet.ru/pmtf164}
\crossref{https://doi.org/10.15372/PMTF20210301}
\elib{https://elibrary.ru/item.asp?id=46271088}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 3
\pages 351--360
\crossref{https://doi.org/10.1134/S0021894421030019}
Linking options:
  • https://www.mathnet.ru/eng/pmtf164
  • https://www.mathnet.ru/eng/pmtf/v62/i3/p5
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
    Statistics & downloads:
    Abstract page:35
    References:10
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024