Loading [MathJax]/jax/output/SVG/config.js
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, 1999, Volume 40, Issue 5, Pages 23–32 (Mi pmtf3135)  
This article is cited in 4 scientific papers (total in 4 papers)

Complete systems of conservation laws for two-layer shallow water models

V. V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Full-text PDF (732 kB) Citations (4)
Abstract: A well-posedness criterion for a complete system of conservation laws is proposed that assumes maximum compatibility of the convexity domain of the closing conservation law with the domain of hyperbolicity of the model used. This criterion is used to obtain well-posed complete systems of conservation laws for the models of two-layer shallow water with a free-surface (model I) and with a rigid lid (model II).
Received: 23.09.1997
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 5, Pages 796–804
DOI: https://doi.org/10.1007/BF02468461
Bibliographic databases:
Document Type: Article
UDC: 532.59
Language: Russian
Citation: V. V. Ostapenko, “Complete systems of conservation laws for two-layer shallow water models”, Prikl. Mekh. Tekh. Fiz., 40:5 (1999), 23–32; J. Appl. Mech. Tech. Phys., 40:5 (1999), 796–804
Citation in format AMSBIB
\Bibitem{Ost99}
\by V.~V.~Ostapenko
\paper Complete systems of conservation laws for two-layer shallow water models
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 5
\pages 23--32
\mathnet{http://mi.mathnet.ru/pmtf3135}
\elib{https://elibrary.ru/item.asp?id=35313665}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 5
\pages 796--804
\crossref{https://doi.org/10.1007/BF02468461}
Linking options:
  • https://www.mathnet.ru/eng/pmtf3135
  • https://www.mathnet.ru/eng/pmtf/v40/i5/p23
    • This publication is cited in the following 4 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:47
    Full-text PDF :6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025