Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 2, Pages 197–217
DOI: https://doi.org/10.4213/tmf1776 (Mi tmf1776) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Whitham hierarchy in growth problems

A. V. Zabrodinab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Institute of biochemical physics of the Russian Academy of Sciences
Full-text PDF (352 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1776
Abstract: We discuss the recently established equivalence between the Laplacian growth in the limit of zero surface tension and the universal Whitham hierarchy known in soliton theory. This equivalence allows distinguishing a class of exact solutions of the Laplacian growth problem in the multiply connected case. These solutions correspond to finite-dimensional reductions of the Whitham hierarchy representable as equations of hydrodynamic type, which are solvable by the generalized hodograph method.
Keywords: Saffman–Taylor problem, Laplacian growth, Whitham equations, Schwarz function.
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 166–182
DOI: https://doi.org/10.1007/s11232-005-0002-4
Bibliographic databases:
Language: Russian
Citation: A. V. Zabrodin, “Whitham hierarchy in growth problems”, TMF, 142:2 (2005), 197–217; Theoret. and Math. Phys., 142:2 (2005), 166–182
Citation in format AMSBIB
\Bibitem{Zab05}
\by A.~V.~Zabrodin
\paper Whitham hierarchy in growth problems
\jour TMF
\yr 2005
\vol 142
\issue 2
\pages 197--217
\mathnet{http://mi.mathnet.ru/tmf1776}
\crossref{https://doi.org/10.4213/tmf1776}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141773}
\zmath{https://zbmath.org/?q=an:1178.37062}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...142..166Z}
\elib{https://elibrary.ru/item.asp?id=9135943}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 142
\issue 2
\pages 166--182
\crossref{https://doi.org/10.1007/s11232-005-0002-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227756500002}
\elib{https://elibrary.ru/item.asp?id=13493300}
Linking options:
  • https://www.mathnet.ru/eng/tmf1776
  • https://doi.org/10.4213/tmf1776
  • https://www.mathnet.ru/eng/tmf/v142/i2/p197
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:510
    Full-text PDF :201
    References:56
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024