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 1, Pages 22–26 (Mi pmtf3025)  
This article is cited in 7 scientific papers (total in 7 papers)

Exact periodic and localized solutions of the equation $h_t=\Delta\ln h$

S. N. Aristov

Institute of Mechanics of Continua, Ural Division, Russian Academy of Sciences, Perm' 614013
Full-text PDF (553 kB) Citations (7)
Abstract: New exact regular solutions of the nonlinear-diffusion equation are found. Various types of evolution of certain classes of localized initial perturbations are described. We show that, when a localized distribution in the form of a ring is specified, the instantaneous occurrence of the singularity in its center results from the diffusive spreading.
Received: 22.05.1997
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 1, Pages 16–19
DOI: https://doi.org/10.1007/BF02467967
Document Type: Article
UDC: 517.946
Language: Russian
Citation: S. N. Aristov, “Exact periodic and localized solutions of the equation $h_t=\Delta\ln h$”, Prikl. Mekh. Tekh. Fiz., 40:1 (1999), 22–26; J. Appl. Mech. Tech. Phys., 40:1 (1999), 16–19
Citation in format AMSBIB
\Bibitem{Ari99}
\by S.~N.~Aristov
\paper Exact periodic and localized solutions of the equation $h_t=\Delta\ln h$
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 1
\pages 22--26
\mathnet{http://mi.mathnet.ru/pmtf3025}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 1
\pages 16--19
\crossref{https://doi.org/10.1007/BF02467967}
Linking options:
  • https://www.mathnet.ru/eng/pmtf3025
  • https://www.mathnet.ru/eng/pmtf/v40/i1/p22
    • This publication is cited in the following 7 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024