|
This article is cited in 28 scientific papers (total in 28 papers)
The Cauchy problem and boundary problems for equations of the type of non-stationary filtration
O. A. Oleinik, A. S. Kalashnikov, Czou Juj-lin
 Full text:
PDF file (3553 kB)
Bibliographic databases:
 
Received: 21.11.1957
Citation:
O. A. Oleinik, A. S. Kalashnikov, Czou Juj-lin, “The Cauchy problem and boundary problems for equations of the type of non-stationary filtration”, Izv. Akad. Nauk SSSR Ser. Mat., 22:5 (1958), 667–704
Citation in format AMSBIB
\Bibitem{OleKalCzo58}
\by O.~A.~Oleinik, A.~S.~Kalashnikov, Czou Juj-lin
\paper The Cauchy problem and boundary problems for equations of the type of non-stationary filtration
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1958
\vol 22
\issue 5
\pages 667--704
\mathnet{http://mi.mathnet.ru/izv3993}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=99834}
\zmath{https://zbmath.org/?q=an:0093.10302}
Linking options:
http://mi.mathnet.ru/eng/izv3993 http://mi.mathnet.ru/eng/izv/v22/i5/p667
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
A. I. Vol'pert, S. I. Khudyaev, “Cauchy's problem for degenerate second order quasilinear parabolic equations”, Math. USSR-Sb., 7:3 (1969), 365–387
  -
G. I. Barenblatt, Ya. B. Zel'dovich, “Intermediate asymptotics in matematical physics”, Russian Math. Surveys, 26:2 (1971), 45–61
-
A. S. Kalashnikov, “The concept of a finite rate of propagation of a perturbation”, Russian Math. Surveys, 34:2 (1979), 235–236
-
V. A. Galaktionov, A. A. Samarskii, “Methods of constructing approximate self-similar solutions of nonlinear
heat equations. I”, Math. USSR-Sb., 46:3 (1983), 291–321
-
V. A. Galaktionov, A. A. Samarskii, “Methods of constructing approximate self-similar solutions of nonlinear heat equations. IV”, Math. USSR-Sb., 49:1 (1984), 125–149
-
A. S. Kalashnikov, “Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations”, Russian Math. Surveys, 42:2 (1987), 169–222
  -
V. A. Galaktionov, “Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source”, U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 67–74
-
Zh. N. Kudryasheva, “The solution of the problem of the motion of a conservative impurity in a river with a bed of arbitrary configuration”, Comput. Math. Math. Phys., 33:7 (1993), 929–938
-
Comput. Math. Math. Phys., 33:2 (1993), 217–227
-
A. E. Shishkov, “Propagation of perturbation in a singular Cauchy problem for degenerate quasilinear parabolic equations”, Sb. Math., 187:9 (1996), 1391–1410
-
A. S. Kalashnikov, “Discretization and nonlinear effects in mathematical models of heat conduction theory”, Comput. Math. Math. Phys., 38:4 (1998), 578–584
-
A. E. Shishkov, A. G. Shchelkov, “Blow-up boundary regimes for general quasilinear parabolic equations in multidimensional domains”, Sb. Math., 190:3 (1999), 447–479
-
A. E. El'bert, “Asymptotics of solutions to a nonlinear parabolic equation in the neighborhood of front formation”, Comput. Math. Math. Phys., 41:10 (2001), 1455–1469
 -
A. E. Shishkov, “Localized Boundary Blow-up Regimes for General Quasilinear Divergent Parabolic Equations of Arbitrary Order”, Proc. Steklov Inst. Math., 236 (2002), 341–356
-
S. P. Bautin, “Suschestvovanie analiticheskoi teplovoi volny, opredelyaemoi zadannym kraevym rezhimom”, Sib. zhurn. industr. matem., 6:1 (2003), 3–11
-
N. A. Vaganova, “Constructing new classes of solutions of a nonlinear filtration equation by special consistent series”, Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S182–S193
-
O. O. Kovrizhnykh, “On the construction of an asymptotic solution of a nonlinear degenerate parabolic equation”, Comput. Math. Math. Phys., 43:10 (2003), 1430–1436
-
G. A. Rudykh, A. V. Sinitsyn, “Solvability of nonlinear boundary-value problems arising in modeling plasma diffusion across a magnetic field and its equilibrium configurations”, Math. Notes, 77:2 (2005), 199–212
-
D. A. Sapronov, A. E. Shishkov, “Asymptotic behaviour of supports of solutions of
quasilinear many-dimensionsal parabolic equations of
non-stationary diffusion-convection type”, Sb. Math., 197:5 (2006), 753–790
-
St. Petersburg Math. J., 19:2 (2008), 239–251
-
G. A. Rudykh, “Analiz statsionarnykh reshenii nachalno-kraevoi zadachi dlya nelokalnogo parabolicheskogo uravneniya fiziki plazmy”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 3:2 (2010), 61–87
-
A. L. Kazakov, “Primenenie kharakteristicheskikh ryadov dlya postroeniya reshenii nelineinykh parabolicheskikh uravnenii i sistem s vyrozhdeniem”, Tr. IMM UrO RAN, 18, no. 2, 2012, 114–122
-
A. L. Kazakov, L. F. Spevak, “Metody granichnykh elementov i stepennykh ryadov v odnomernykh zadachakh nelineinoi filtratsii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 5:2 (2012), 2–17
-
P. A. Kuznetsov, “O kraevoi zadache s vyrozhdeniem dlya nelineinogo uravneniya teploprovodnosti s dannymi na zamknutoi poverkhnosti”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 9 (2014), 61–74
-
A. L. Kazakov, P. A. Kuznetsov, A. A. Lempert, “O postroenii teplovoi volny dlya nelineinogo uravneniya teploprovodnosti v simmetrichnom sluchae”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 11 (2015), 39–53
-
G. A. Rudykh, E. I. Semenov, “Issledovanie sovmestnosti pereopredelennoi sistemy dlya mnogomernogo uravneniya nelineinoi teploprovodnosti (chastnyi sluchai)”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 18 (2016), 93–109
-
V. B. Bednova, “Ob odnom metode priblizhennogo resheniya nelineinogo uravneniya teploprovodnosti”, Chebyshevskii sb., 17:4 (2016), 11–22
-
G. A. Rudykh, E. I. Semenov, “Issledovanie sovmestnosti pereopredelennoi sistemy dlya mnogomernogo uravneniya nelineinoi teploprovodnosti”, Matematicheskie zametki SVFU, 25:1 (2018), 50–62
|
| Number of views: |
| This page: | 995 | | Full text: | 466 | | First page: | 5 |
|
Terms of Use