RUS  ENG ЖУРНАЛЫ   ПЕРСОНАЛИИ   ОРГАНИЗАЦИИ   КОНФЕРЕНЦИИ   СЕМИНАРЫ   ВИДЕОТЕКА   ПАКЕТ AMSBIB
Общая информация
Последний выпуск
Архив
Импакт-фактор
Подписка
Правила для авторов
Лицензионный договор
Загрузить рукопись
Историческая справка

Поиск публикаций
Поиск ссылок

RSS
Последний выпуск
Текущие выпуски
Архивные выпуски
Что такое RSS



УМН:
Год:
Том:
Выпуск:
Страница:
Найти






Персональный вход:
Логин:
Пароль:
Запомнить пароль
Войти
Забыли пароль?
Регистрация


УМН, 2007, том 62, выпуск 3(375), страницы 5–46 (Mi umn6811)  

Эта публикация цитируется в 82 научных статьях (всего в 82 статьях)

Уравнения Эйлера идеальной несжимаемой жидкости

К. Бардосa, Э. С. Титиb

a Université Paris VII – Denis Diderot
b University of California, Irvine

Аннотация: В данном обзоре освещается современное состояние математической теории уравнений Эйлера идеальной однородной несжимаемой жидкости. Основное внимание уделяется различным типам неустойчивости и тому, как эти явления могут быть связаны с описанием турбулентности.
Библиография: 71 название.

DOI: https://doi.org/10.4213/rm6811

Полный текст: PDF файл (892 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 2007, 62:3, 409–451

Реферативные базы данных:

УДК: 517.958+531.3-322
MSC: Primary 35Q05; Secondary 35Q30, 76Bxx, 76Dxx, 76Fxx
Поступила в редакцию: 02.04.2007

Образец цитирования: К. Бардос, Э. С. Тити, “Уравнения Эйлера идеальной несжимаемой жидкости”, УМН, 62:3(375) (2007), 5–46; Russian Math. Surveys, 62:3 (2007), 409–451

Цитирование в формате AMSBIB
\RBibitem{BarTit07}
\by К.~Бардос, Э.~С.~Тити
\paper Уравнения Эйлера идеальной несжимаемой жидкости
\jour УМН
\yr 2007
\vol 62
\issue 3(375)
\pages 5--46
\mathnet{http://mi.mathnet.ru/umn6811}
\crossref{https://doi.org/10.4213/rm6811}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2355417}
\zmath{https://zbmath.org/?q=an:1139.76010}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2007RuMaS..62..409B}
\elib{http://elibrary.ru/item.asp?id=25787395}
\transl
\jour Russian Math. Surveys
\yr 2007
\vol 62
\issue 3
\pages 409--451
\crossref{https://doi.org/10.1070/RM2007v062n03ABEH004410}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000250483500002}
\elib{http://elibrary.ru/item.asp?id=14523256}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35748978223}


Образцы ссылок на эту страницу:
  • http://mi.mathnet.ru/umn6811
  • https://doi.org/10.4213/rm6811
  • http://mi.mathnet.ru/rus/umn/v62/i3/p5

    ОТПРАВИТЬ: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    Эта публикация цитируется в следующих статьяx:
    1. Ohkitani K., “A miscellany of basic issues on incompressible fluid equations”, Nonlinearity, 21:12 (2008), T255–T271  crossref  mathscinet  zmath  isi  scopus
    2. Eyink G., Frisch U., Moreau R., Sobolevskiǐ A., “General introduction”, Proceedings of an international conference. Euler equations: 250 Years on (EE250), Phys. D, 237:14-17 (2008), xi–xv  crossref  mathscinet  isi  scopus
    3. Gibbon J.D., “The three-dimensional Euler equations: Where do we stand?”, Phys. D, 237:14-17 (2008), 1894–1904  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Bardos C., Linshiz J.S., Titi E.S., “Global regularity for a Birkhoff-Rott-$\alpha$ approximation of the dynamics of vortex sheets of the 2D Euler equations”, Phys. D, 237:14-17 (2008), 1905–1911  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Gibbon J.D., Bustamante M., Kerr R.M., “The three-dimensional Euler equations: singular or non-singular?”, Nonlinearity, 21:8 (2008), T123–T129  crossref  mathscinet  zmath  isi  scopus
    6. Kupferman R., Mangoubi C., Titi E.S., “A Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the creeping flow regime”, Commun. Math. Sci., 6:1 (2008), 235–256  crossref  mathscinet  zmath  isi  scopus
    7. Ettinger B., Titi E.S., “Global existence and uniqueness of weak solutions of three-dimensional Euler equations with helical symmetry in the absence of vorticity stretching”, SIAM J. Math. Anal., 41:1 (2009), 269–296  crossref  mathscinet  zmath  isi  scopus
    8. Chae D., “On the behaviors of solutions near possible blow-up time in the incompressible Euler and related equations”, Comm. Partial Differential Equations, 34:10 (2009), 1265–1286  crossref  mathscinet  zmath  isi  scopus
    9. Chae Dongho, “Notes on the Incompressible Euler and Related Equations on $R^N$”, Chin. Ann. Math. Ser. B, 30:5 (2009), 513–526  crossref  zmath  isi  scopus
    10. Gargano F., Sammartino M., Sciacca V., “Singularity formation for Prandtl's equations”, Phys. D, 238:19 (2009), 1975–1991  crossref  mathscinet  zmath  isi  scopus
    11. Constantin A., Wunsch M., “On the inviscid Proudman-Johnson equation”, Proc. Japan Acad. Ser. A Math. Sci., 85:7 (2009), 81–83  crossref  mathscinet  zmath  isi  scopus
    12. Galaktionov V.A., Mitidieri E., Pohozaev S.I., “On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations”, Nonlinear Anal., 70:8 (2009), 2930–2952  crossref  mathscinet  zmath  isi  elib  scopus
    13. А. Е. Мамонтов, “Глобальная разрешимость многомерных уравнений сжимаемой неньютоновской жидкости, транспортное уравнение и пространства Орлича”, Сиб. электрон. матем. изв., 6 (2009), 120–165  mathnet  mathscinet  elib
    14. Bardos C., Titi E.S., Linshiz J.S., “Global regularity and convergence of a Birkhoff-Rott-$\alpha$ approximation of the dynamics of vortex sheets of the two-dimensional Euler equations”, Comm. Pure. Appl. Math., 63:6 (2010), 697–746  crossref  mathscinet  zmath  isi  elib  scopus
    15. Bardos C., Frisch U., Pauls W., RayS.S., Titi E.S., “Entire solutions of hydrodynamical equations with exponential dissipation”, Comm. Math. Phys., 293:2 (2010), 519–543  crossref  mathscinet  zmath  adsnasa  isi  scopus
    16. Linshiz J.S., Titi E.S., “On the convergence rate of the Euler-$\alpha$, an inviscid second-grade complex fluid, model to the Euler equations”, J. Stat. Phys., 138:1-3 (2010), 305–332  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    17. Shu Wang, “On a new 3D model for incompressible Euler and Navier–Stokes equations”, Acta Math. Sci., 30:6 (2010), 2089–2102  crossref  mathscinet  zmath  isi  elib  scopus
    18. Sarychev V.D., Vashchuk E.S., Budovskikh E.A., Gromov V.E., “Nanosized structure formation in metals under the action of pulsed electric-explosion-induced plasma jets”, Technical Phys. Lett., 36:7 (2010), 656–659  crossref  adsnasa  isi  elib  scopus
    19. Chae Dongho, “On the Lagrangian dynamics of the axisymmetric 3D Euler equations”, J. Differential Equations, 249:3 (2010), 571–577  crossref  mathscinet  zmath  adsnasa  isi  scopus
    20. Pauls W., “On complex singularities of the 2D Euler equation at short times”, Phys. D, 239:13 (2010), 1159–1169  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    21. Larios A., Titi E.S., “On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models”, Discrete Contin. Dyn. Syst. Ser. B, 14:2 (2010), 603–627  crossref  mathscinet  zmath  isi  elib  scopus
    22. Villani C., “Paradoxe de Scheffer-Shnirelman revu sous l'angle de l'intégration convexe (d'après C. De Lellis et L. Székelyhidi)”, Séminaire Bourbaki. Volume 2008/2009. Exposés 997–1011, Astérisque, 332, Exp. No. 1001, 2010, 101–134  mathscinet  zmath  isi
    23. Kukavica I., Vicol V., “On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations”, Nonlinearity, 24:3 (2011), 765–796  crossref  zmath  adsnasa  isi  scopus
    24. Chepyzhov V.V., Vishik M.I., Zelik S.V., “Strong trajectory attractors for dissipative Euler equations”, J. Math. Pures Appl. (9), 96:4 (2011), 395–407  crossref  mathscinet  zmath  isi  scopus
    25. Catania D., Secchi P., “Global existence for two regularized MHD models in three space-dimension”, Port. Math., 68:1 (2011), 41–52  crossref  mathscinet  zmath  isi  scopus
    26. Zhong X., Wu X.-P., Tang Ch.-L., “Local well-posedness for the homogeneous Euler equations”, Nonlinear Anal., 74:11 (2011), 3829–3848  crossref  mathscinet  zmath  isi  scopus
    27. Romain Nguyen van yen, Marie Farge, Kai Schneider, “Scale-wise coherent vorticity extraction for conditional statistical modeling of homogeneous isotropic two-dimensional turbulence”, Phys. D, 241:3 (2012), 186–201  crossref  zmath  isi  scopus
    28. Vorotnikov D., “Global generalized solutions for Maxwell-alpha and Euler-alpha equations”, Nonlinearity, 25:2 (2012), 309–327  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    29. Bardos C., Golse F., Paillard L., “The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition”, Commun. Math. Sci., 10:1 (2012), 159–190  crossref  mathscinet  zmath  isi  scopus
    30. Beirão da Veiga H., Crispo F., “A missed persistence property for the Euler equations and its effect on inviscid limits”, Nonlinearity, 25:6 (2012), 1661–1669  crossref  mathscinet  zmath  adsnasa  isi  scopus
    31. Sueur F., “A Kato type theorem for the inviscid limit of the Navier–Stokes equations with a moving rigid body”, Comm. Math. Phys., 316:3 (2012), 783–808  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    32. Kiessling M. K.-H., Wang Yu, “Onsager's ensemble for point vortices with random circulations on the sphere”, J. Stat. Phys., 148:5 (2012), 896–932  crossref  mathscinet  zmath  adsnasa  isi  scopus
    33. Constantin P., Vicol V., “Nonlinear maximum principles for dissipative linear nonlocal operators and applications”, Geom. Funct. Anal, 22:5 (2012), 1289–1321  crossref  mathscinet  zmath  isi  scopus
    34. Bustamante M., Brachet M., “Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem”, Phys. Rev. E, 86:6 (2012), 066302, 12 pp.  crossref  mathscinet  adsnasa  isi  scopus
    35. De Lellis C., Székelyhidi L. (Jr.), “The $h$-principle and the equations of fluid dynamics”, Bull. Amer. Math. Soc., 49:3 (2012), 347–375  crossref  zmath  isi  scopus
    36. Bessaih H., Millet A., “Large Deviations and the Zero Viscosity Limit for 2D Stochastic Navier–Stokes Equations with Free Boundary”, SIAM J. Math. Anal., 44:3 (2012), 1861–1893  crossref  mathscinet  zmath  isi
    37. Golse F., “From the Boltzmann equation to the Euler equations in the presence of boundaries”, Computers & Mathematics with Applications, 65:6 (2013), 815–830  crossref  mathscinet  zmath  isi  scopus
    38. Brachet M.E., Bustamante M.D., Krstulovic G., Mininni P.D., Pouquet A., Rosenberg D., “Ideal evolution of magnetohydrodynamic turbulence when imposing Taylor-Green symmetries”, Phys. Rev. E, 87:1 (2013), 013110, 14 pp.  crossref  mathscinet  adsnasa  isi  scopus
    39. Chemetov N.V., Cipriano F., “The inviscid limit for the Navier–Stokes equations with slip condition on permeable walls”, J. Nonlinear Sci., 2013  crossref  mathscinet  isi  scopus
    40. Dongho Chae, “On the blow-up problem for the Euler equations and the Liouville type results in the fluid equations”, DCDS-S, 6:5 (2013), 1139  crossref  mathscinet  zmath  isi  scopus
    41. J.D. Gibbon, “Dynamics of Scaled Norms of Vorticity for the Three-dimensional Navier–Stokes and Euler Equations”, Procedia IUTAM, 7 (2013), 39  crossref  isi  scopus
    42. J.D.. Gibbon, E.S.. Titi, “The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up?”, J Nonlinear Sci, 2013  crossref  mathscinet  isi  scopus
    43. J.D. Gibbon, D.D. Holm, “Stretching and Folding Processes in the 3D Euler and Navier–Stokes Equations”, Procedia IUTAM, 9 (2013), 25  crossref  zmath  scopus
    44. Morosi C., Pernici M., Pizzocchero L., “On Power Series Solutions for the Euler Equation, and the Behr-Necas-Wu Initial Datum”, ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., 47:3 (2013), 663–688  crossref  mathscinet  zmath  isi  scopus
    45. Bardos C.W., Titi E.S., “Mathematics and Turbulence: Where Do We Stand?”, J. Turbul., 14:3 (2013), 42–76  crossref  mathscinet  adsnasa  isi  elib  scopus
    46. Lei Zh., Du Y., Zhang Q., “Singularities of Solutions to Compressible Euler Equations with Vacuum”, Math. Res. Lett., 20:1 (2013), 55–64  mathscinet  isi
    47. Cannone M., Lombardo M.C., Sammartino M., “Well-Posedness of Prandtl Equations with Non-Compatible Data”, Nonlinearity, 26:12 (2013), 3077–3100  crossref  mathscinet  zmath  isi  scopus
    48. Barbato D., Bessaih H., Ferrario B., “On a Stochastic Leray-Alpha Model of Euler Equations”, Stoch. Process. Their Appl., 124:1 (2014), 199–219  crossref  mathscinet  zmath  isi  scopus
    49. Glatt-Holtz N.E., Vicol V.C., “Local and Global Existence of Smooth Solutions for the Stochastic Euler Equations with Multiplicative Noise”, Ann. Probab., 42:1 (2014), 80–145  crossref  mathscinet  zmath  isi  scopus
    50. Hou T.Y., Lei Zh., Luo G., Wang Sh., Zou Ch., “On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations”, Arch. Ration. Mech. Anal., 212:2 (2014), 683–706  crossref  mathscinet  zmath  isi  scopus
    51. Planas G., Sueur F., “On the “Viscous Incompressible Fluid Plus Rigid Body” System with Navier Conditions”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 31:1 (2014), 55–80  crossref  mathscinet  zmath  isi  scopus
    52. Diego Ayala, Bartosz Protas, “Vortices, maximum growth and the problem of finite-time singularity formation”, Fluid Dyn. Res, 46:3 (2014), 031404  crossref  mathscinet  zmath  isi  scopus
    53. Dongho Chae, “Euler’s equations and the maximum principle”, Math. Ann, 2014  crossref  mathscinet  isi  scopus
    54. G. Luo, T. Y. Hou, “Potentially singular solutions of the 3D axisymmetric Euler equations”, Proceedings of the National Academy of Sciences, 111:36 (2014), 12968  crossref  isi  scopus
    55. Guo Luo, T.Y.. Hou, “Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation”, Multiscale Model. Simul, 12:4 (2014), 1722  crossref  mathscinet  zmath  isi  scopus
    56. Cannone M., Lombardo M.C., Sammartino M., “On the Prandtl Boundary Layer Equations in Presence of Corner Singularities”, Acta Appl. Math., 132:1, SI (2014), 139–149  crossref  mathscinet  zmath  isi  scopus
    57. Iyer G., Kiselev A., Xu X., “Lower Bounds on the Mix Norm of Passive Scalars Advected By Incompressible Enstrophy-Constrained Flows”, Nonlinearity, 27:5 (2014), 973–985  crossref  mathscinet  zmath  isi  scopus
    58. К. Бардос, Л. Секелихиди мл., Э. Видеманн, “Об отсутствии единственности для уравнений Эйлера: эффект границы”, УМН, 69:2(416) (2014), 3–22  mathnet  crossref  mathscinet  zmath  adsnasa  elib; C. Bardos, L. Székelyhidi, Jr., E. Wiedemann, “Non-uniqueness for the Euler equations: the effect of the boundary”, Russian Math. Surveys, 69:2 (2014), 189–207  crossref  isi
    59. R.M.. Mulungye, Dan Lucas, M.D.. Bustamante, “Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions”, J. Fluid Mech, 771 (2015), 468  crossref  mathscinet  zmath  isi  scopus
    60. T.Y. Hou, Pengfei Liu, “Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations”, Mathematical Sciences, 2:1 (2015)  crossref  mathscinet
    61. Vladimir Chepyzhov, Sergey Zelik, “Infinite Energy Solutions for Dissipative Euler Equations in
      $${\mathbb{R}^2}$$
      R 2”, J. Math. Fluid Mech, 2015  crossref  mathscinet  isi  scopus
    62. Dongho Chae, “Unique continuation type theorem for the self-similar Euler equations”, Advances in Mathematics, 283 (2015), 143  crossref  mathscinet  zmath  isi  scopus
    63. Mulungye R.M., Lucas D., Bustamante M.D., “Atypical Late-Time Singular Regimes Accurately Diagnosed in Stagnation-Point-Type Solutions of 3D Euler Flows”, 788, 2016, R3  crossref  mathscinet  zmath  isi  scopus
    64. Gerard-Varet D., “Phenomenon of Depreciation in the Euler Equations”, Asterisque, 2016, no. 380, 61–81  isi
    65. Sarychev V.D., Granovskii A.Yu., Nevskii S.A., Gromov V.E., “Model of formation of droplets during electric arc surfacing of functional coatings”, ADVANCED MATERIALS IN TECHNOLOGY AND CONSTRUCTION (AMTC-2015): Proceedings of the II All-Russian Scientific Conference of Young Scientists “Advanced Materials in Technology and Construction” (Tomsk, Russia, 6–9 October 2015), AIP Conference Proceedings, 1698, eds. Starenchenko S., Soloveva Y., Kopanitsa N., Amer Inst Physics, 2016, 030013  crossref  isi  scopus
    66. Gibbon J.D., Pal N., Gupta A., Pandit R., “Regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier–Stokes equations and associated computations”, Phys. Rev. E, 94:6 (2016), 063103  crossref  mathscinet  isi  scopus
    67. Fjordholm U.S., Mishra S., Tadmor E., “On the computation of measure-valued solutions”, Acta Numer., 25 (2016), 567–679  crossref  mathscinet  zmath  isi  scopus
    68. Siljander J., Urbano J.M., “On the Interior Regularity of Weak Solutions to the 2-D Incompressible Euler Equations”, Calc. Var. Partial Differ. Equ., 56:5 (2017), 126  crossref  mathscinet  zmath  isi  scopus
    69. Liu Ch.-J., Wang Ya.-G., Yang T., “A Well-Posedness Theory For the Prandtl Equations in Three Space Variables”, Adv. Math., 308 (2017), 1074–1126  crossref  mathscinet  zmath  isi  scopus
    70. McOwen R., Topalov P., “Spatial Asymptotic Expansions in the Incompressible Euler Equation”, Geom. Funct. Anal., 27:3 (2017), 637–675  crossref  mathscinet  zmath  isi  scopus
    71. Belykh V.N., “On the Evolution of a Finite Volume of Ideal Incompressible Fluid With a Free Surface”, Dokl. Phys., 62:4 (2017), 213–217  crossref  mathscinet  isi  scopus
    72. Constantin P., Elgind T., Ignatova M., Vicol V., “Remarks on the Inviscid Limit For the Navier–Stokes Equations For Uniformly Bounded Velocity Fields”, SIAM J. Math. Anal., 49:3 (2017), 1932–1946  crossref  mathscinet  zmath  isi  scopus
    73. Wu J., Xu X., Ye Zh., “Global Regularity For Several Incompressible Fluid Models With Partial Dissipation”, J. Math. Fluid Mech., 19:3 (2017), 423–444  crossref  mathscinet  zmath  isi  scopus
    74. В. Н. Белых, “Корректность одной нестационарной осесимметричной задачи гидродинамики со свободной поверхностью”, Сиб. матем. журн., 58:4 (2017), 728–744  mathnet  crossref  elib; V. N. Belykh, “Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface”, Siberian Math. J., 58:4 (2017), 564–577  crossref  isi  elib
    75. Constantin P., Vicol V., “Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit”, J. Nonlinear Sci., 28:2 (2018), 711–724  crossref  mathscinet  zmath  isi  scopus
    76. Gibbon J.D., Gupta A., Pal N., Pandit R., “The Role of Bkm-Type Theorems in 3D Euler, Navier–Stokes and Cahn-Hilliard-Navier–Stokes Analysis”, Physica D, 376:SI (2018), 60–68  crossref  mathscinet  isi  scopus
    77. Anbarlooei H.R., Cruz D.O.A., Ramos F., Santos C.M.M., Silva Freire A.P., “On the Connection Between Kolmogorov Microscales and Friction in Pipe Flows of Viscoplastic Fluids”, Physica D, 376:SI (2018), 69–77  crossref  mathscinet  isi  scopus
    78. Duerinckx M., Fischer J., “Well-Posedness For Mean-Field Evolutions Arising in Superconductivity”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 35:5 (2018), 1267–1319  crossref  mathscinet  zmath  isi  scopus
    79. Chen Q., “On the Well-Posedness of the Inviscid Multi-Layer Quasi-Geostrophic Equations”, Discret. Contin. Dyn. Syst., 39:6 (2019), 3215–3237  crossref  isi  scopus
    80. Dong J., Xue H., Lou G., “Singularities of Solutions to Compressible Euler Equations With Damping”, Eur. J. Mech. B-Fluids, 76 (2019), 272–275  crossref  isi
    81. Belykh V.N., “Numerical Implementation of Nonstationary Axisymmetric Problems of An Ideal Incompressible Fluid With a Free Surface”, J. Appl. Mech. Tech. Phys., 60:2 (2019), 382–391  crossref  isi
    82. Chen Q., “The Barotropic Quasi-Geostrophic Equation Under a Free Surface”, SIAM J. Math. Anal., 51:3 (2019), 1836–1867  crossref  isi
  • Успехи математических наук Russian Mathematical Surveys
    Просмотров:
    Эта страница:1762
    Полный текст:441
    Литература:86
    Первая стр.:14

     
    Обратная связь:
     Пользовательское соглашение  Регистрация  Логотипы © Математический институт им. В. А. Стеклова РАН, 2019