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Matematicheskii Sbornik. Novaya Seriya, 1960, Volume 51(93), Number 2, Pages 191–216 (Mi sm4811)  

This article is cited in 16 scientific papers (total in 17 papers)

Asymptotic behavior of solutions of the Cauchy problem for some quasi-linear equations for large values of the time

A. M. Il'in, O. A. Oleinik
Received: 14.10.1958
Bibliographic databases:
Language: Russian
Citation: A. M. Il'in, O. A. Oleinik, “Asymptotic behavior of solutions of the Cauchy problem for some quasi-linear equations for large values of the time”, Sb. Math., 93:2 (1960)
Citation in format AMSBIB
\Bibitem{IliOle60}
\by A.~M.~Il'in, O.~A.~Oleinik
\paper Asymptotic behavior of solutions of the Cauchy problem for some quasi-linear equations for large values of the time
\jour Sb. Math.
\yr 1960
\vol 93
\issue 2
\mathnet{http://mi.mathnet.ru/eng/sm4811}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=120469}
\zmath{https://zbmath.org/?q=an:0096.06601}
Linking options:
  • https://www.mathnet.ru/eng/sm4811
  • https://www.mathnet.ru/eng/sm/v93/i2/p191
  • This publication is cited in the following 17 articles:
    1. G. M. Henkin, A. A. Shananin, “Cauchy–Gelfand Problem and the Inverse Problem for a First-Order Quasilinear Equation”, Funct. Anal. Appl., 50:2 (2016), 131–142  mathnet  crossref  crossref  mathscinet  isi  elib
    2. “Arlen Mikhailovich Ilin (k vosmidesyatiletiyu so dnya rozhdeniya)”, Ufimsk. matem. zhurn., 4:2 (2012), 3–12  mathnet  mathscinet
    3. Kazeikina A.V., “Primery otsutstviya beguschei volny dlya obobschennogo uravneniya kortevega–de friza–byurgersa”, Vestnik Moskovskogo universiteta. Seriya 15: Vychislitelnaya matematika i kibernetika, 1 (2011), 17a–24 Examples of traveling wave absence for the generalized korteweg–de vries–burgers equation  mathscinet  elib
    4. Zakharov S.V., “Renormalizatsiya v zadache koshi s dvumya malymi parametrami”, Vestnik Chelyabinskogo gosudarstvennogo universiteta, 2011, no. 27, 79–84  elib
    5. S. V. Zakharov, “Renormalizatsiya v zadache Koshi s dvumya malymi parametrami”, Vestnik ChelGU, 2011, no. 14, 79–84  mathnet
    6. S. V. Zakharov, “The Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity”, Comput. Math. Math. Phys., 50:4 (2010), 665–672  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    7. A. V. Kazeǐkina, “Stability of a traveling-wave solution of the Cauchy problem for the Korteweg–de Vries–Burgers equation”, Comput. Math. Math. Phys., 50:4 (2010), 690–710  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    8. A. V. Gasnikov, “Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity”, Izv. Math., 73:6 (2009), 1111–1148  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. A. V. Gasnikov, “Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves”, Comput. Math. Math. Phys., 48:8 (2008), 1376–1405  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    10. Hayashi, N, “Asymptotics for dissipative nonlinear equations - Preliminary results”, Asymptotics For Dissipative Nonlinear Equations, 1884 (2006), 1  crossref  isi
    11. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics of solutions of non-linear dissipative equations”, Izv. Math., 68:3 (2004), 461–492  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Cauchy problem for non-linear systems of equations in the critical case”, Sb. Math., 195:11 (2004), 1575–1605  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. V. M. Babich, L. A. Kalyakin, M. D. Ramazanov, N. Kh. Rozov, “Arlen Mikhailovich Il'in (on the occasion of the 70th anniversary)”, Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S1–S7  mathnet  mathscinet  zmath  elib
    14. Kaikina E. Naumkin P. Shishmarev I., “Asymptotics for Nonlinear Evolution Equations with Small Dissipation”, Differ. Equ., 39:5 (2003), 658–673  mathnet  crossref  mathscinet  zmath  isi
    15. Bikbaev R., “Shock-Waves in the Modified Korteweg-de Vries-Burgers Equation”, J. Nonlinear Sci., 5:1 (1995), 1–10  crossref  mathscinet  zmath  isi
    16. R. F. Bikbaev, “Shock waves in one-dimensional models with cubic nonlinearity”, Theoret. and Math. Phys., 97:2 (1993), 1236–1249  mathnet  crossref  mathscinet  zmath  isi
    17. S. N. Kruzhkov, N. S. Petrosyan, “Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations”, Russian Math. Surveys, 42:5 (1987), 1–47  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1947–1963 Sbornik: Mathematics
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