Rykov, Yuri Germanovich

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Total publications: 44
Scientific articles: 44

Number of views:
This page:897
Abstract pages:7008
Full texts:2252
Candidate of physico-mathematical sciences
Birth date: 9.04.1962
E-mail: ,
Keywords: conservation laws, generalized solutions, variational representation, pressureless gas, multicomponent filtration.
UDC: 517.956


Systems of conservation laws, qualitative properties and singularities of generalized solutions, variational representation of solutions. Systems of equations of multicomponent filtration type.

Main publications:
  1. Yu. G. Rykov, “O kharaktere rasprostraneniya vozmuschenii dlya suschestvenno neavtonomnykh kvazilineinykh uravnenii pervogo poryadka.”, Trudy seminara im. I. G. Petrovskogo, 17, 1994, 89–117  mathscinet  zmath
  2. W. E., Yu. G. Rykov, Ya. G. Sinai, “Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics”, Comm. Math. Phys., 177 (1996), 349–380  crossref  mathscinet  zmath  adsnasa
  3. Yu. G. Rykov, “Discontinuous solutions of some strongly degenerate parabolic equations.”, Russian Journal of Mathematical Physics, 7:3 (2000), 341–356  mathscinet  zmath
  4. Yu. G. Rykov, “On the non-hamiltonian character of shocks in 2-D pressureless gas.”, Bolletino dell U.M.I. Sezione B, 5-B (2002), 55–78  mathscinet  zmath
  5. A. I. Aptekarev, Yu. G. Rykov, “On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory”, Russian Journal of Math. Phys., 13:1 (2006), 4–12  crossref  mathscinet  zmath  adsnasa
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. Yu. G. Rykov, “Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws”, Mat. Zametki, 110:6 (2021),  944–947  mathnet; Math. Notes, 110:6 (2021), 972–975
2. V. E. Borisov, Yu. G. Rykov, “Simulation of multicomponent gas flows using double-flux method”, Matem. Mod., 32:10 (2020),  3–20  mathnet
3. Yu. G. Rykov, “Solutions with Substance Decay in Pressureless Gas Dynamics Systems”, Mat. Zametki, 108:3 (2020),  477–480  mathnet  elib; Math. Notes, 108:3 (2020), 465–468  isi  scopus
4. A. I. Aptekarev, Yu. G. Rykov, “Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics”, Dokl. Akad. Nauk, 484:6 (2019),  7–10  mathnet  zmath  elib; Dokl. Math., 99:1 (2019), 79–82  isi  scopus
5. A. I. Aptekarev, Yu. G. Rykov, “Variational principle for multidimensional conservation laws and pressureless media”, Uspekhi Mat. Nauk, 74:6(450) (2019),  159–160  mathnet  mathscinet  elib; Russian Math. Surveys, 74:6 (2019), 1117–1119  isi  scopus
6. V. T. Zhukov, Yu. G. Rykov, O. B. Feodoritova, “Mathematical model of multicomponent mixture flow of gases with regard to the possibility of the liquid phase”, Keldysh Institute preprints, 2018, 183, 36 pp.  mathnet  elib
7. V. E. Borisov, Yu. G. Rykov, “An exact Riemann solver in the algorithms for multicomponent gas dynamics”, Keldysh Institute preprints, 2018, 096, 28 pp.  mathnet  elib
8. Yu. G. Rykov, “Multi-D variational principle and pressureless gas dynamics”, Keldysh Institute preprints, 2018, 080, 12 pp.  mathnet
9. V. A. Bakhtin, I. P. Bogdanov, V. P. Osipov, Yu. G. Rykov, A. A. Smirnov, V. A. Sudakov, “Optimal scheduling of homogeneous products transportation”, Keldysh Institute preprints, 2018, 065, 26 pp.  mathnet  elib
10. Yu. G. Rykov, “On the variational approach to systems of quasilinear conservation laws”, Trudy Mat. Inst. Steklova, 301 (2018),  225–240  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 301 (2018), 213–227  isi  elib  scopus
11. E. V. Borovik, M. M. Krasnov, Yu. G. Rykov, D. K. Shalyga, “The mathematical model and numerical approach based on ENO schemes for the flows in variable cross-section channels with combustion”, Keldysh Institute preprints, 2016, 112, 20 pp.  mathnet
12. Yu. G. Rykov, “2D pressureless gas dynamics and variational principle”, Keldysh Institute preprints, 2016, 094, 14 pp.  mathnet
13. A. A. Ilyin, Yu. G. Rykov, “On the closeness of trajectories for model quasi-gasdynamic equations. Linear case”, Keldysh Institute preprints, 2016, 090, 14 pp.  mathnet
14. E. V. Borovik, A. V. Goncharov, Yu. G. Rykov, D. N. Tulyakov, “On the calculation of 2D compressible filtration flows by the compressible streamlines methodology”, Keldysh Institute preprints, 2016, 064, 12 pp.  mathnet
15. I. G. Gudich, V. T. Zhukov, K. V. Manukovskii, N. D. Novikova, Yu. G. Rykov, O. B. Feodoritova, “Numerical simulation of high-speed combustion chamber by OpenFOAM”, Keldysh Institute preprints, 2016, 010, 32 pp.  mathnet
16. V. T. Zhukov, K. V. Manukovskii, N. D. Novikova, Yu. G. Rykov, O. B. Feodoritova, “On high velocity flow simulation in model ramjet engine”, Keldysh Institute preprints, 2015, 005, 23 pp.  mathnet
17. Yu. G. Rykov, O. B. Feodoritova, “Systems of quasilinear conservation laws and algorithmization of variational principles”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1586–1598  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:9 (2015), 1554–1566  isi  elib  scopus
18. V. G. Lysov, Yu. G. Rykov, “On the computation of the phase equilibrium in multicomponent filtration problems”, Keldysh Institute preprints, 2014, 094, 20 pp.  mathnet
19. N. A. Zaitsev, B. V. Kritskii, Yu. G. Rykov, “On a two-dimensional model for computations of two-phase flows”, Keldysh Institute preprints, 2014, 086, 32 pp.  mathnet
20. Yu. G. Rykov, O. B. Feodoritova, “On the methodology of variational representation of generalized solutions to quasi-linear hyperbolic two-equations systems”, Keldysh Institute preprints, 2014, 084, 22 pp.  mathnet
21. A. A. Ilyin, Yu. G. Rykov, “On a model system with a small parameter as a coefficient of the highest time derivative arising in the analysis of certain quasihydrodymamical systems”, Keldysh Institute preprints, 2012, 075, 9 pp.  mathnet
22. Yu. G. Rykov, V. G. Lysov, O. B. Feodoritova, “The emergence of non-classic shocks in a flow model of two-component, two-velocity medium”, Keldysh Institute preprints, 2012, 074, 20 pp.  mathnet
23. V. M. Goloviznin, N. A. Zaitsev, V. V. Kabanov, V. G. Lysov, Yu. G. Rykov, “On some approach to direct numerical simulation of two-phase flows”, Keldysh Institute preprints, 2012, 073, 36 pp.  mathnet
24. Yu. G. Rykov, N. A. Zaitsev, V. V. Kabanov, V. G. Lysov, R. F. Khabibullin, “Possible thermodynamic model for the usage in the schematics of DNS for two-phase flows”, Keldysh Institute preprints, 2012, 040, 18 pp.  mathnet
25. A. A. Ilyin, Yu. G. Rykov, “On a model equation with small parameter as a coefficient of the second-order time derivative arising in the analysis of certain quasi-gasdynamics systems”, Keldysh Institute preprints, 2012, 012, 9 pp.  mathnet
26. V. T. Zhukov, N. A. Zaitsev, V. G. Lysov, Yu. G. Rykov, O. B. Feodoritova, “Numerical analysis of new model of metals cristallization processes, two-dimensional case”, Matem. Mod., 24:1 (2012),  109–128  mathnet  mathscinet; Math. Models Comput. Simul., 4:4 (2012), 440–453  scopus
27. Yu. G. Rykov, “A variational representation of generalized solutions to quasi-linear hyperbolic systems and possible algorithms for hybrid supercomputers”, Keldysh Institute preprints, 2011, 062, 9 pp.  mathnet
28. Yu. G. Rykov, “On the Generalization of Conservation Law Theory to Certain Degenerate Parabolic Systems of Equations Describing Processes of Compressible Two-Phase Multicomponent Filtration”, Mat. Zametki, 89:2 (2011),  300–315  mathnet  mathscinet; Math. Notes, 89:2 (2011), 291–303  isi  scopus
29. Yuri Rykov, Nikolai Zaitsev, “Numerical analysis of new model of metals cristallization processes, one-dimensional case”, Matem. Mod., 22:12 (2010),  82–102  mathnet; Math. Models Comput. Simul., 3:4 (2011), 468–483  scopus
30. Elena Koldoba, Alexander Koldoba, Artyom Myasnikov, Olga Podgornova, Yuri Rykov, “Thermodynamically consistent approach for numerical simulation of oil displacement processes”, Matem. Mod., 21:10 (2009),  7–18  mathnet  zmath
31. Yu. G. Rykov, “A rigorous formulation of streamline approach in reservoir simulation for compressible compositional case”, Keldysh Institute preprints, 2008, 004, 16 pp.  mathnet
32. N. A. Zaitsev, Yu. G. Rykov, “The numerical calculation of some model, which describes the metals crystallization process I. 1-D case”, Keldysh Institute preprints, 2007, 072, 16 pp.  mathnet
33. Yu. G. Rykov, “On the Riemann problem for the system of equations of two-component, two-phase filtration in porous media in case of both phases compressibility”, Keldysh Institute preprints, 2007, 059, 16 pp.  mathnet
34. N. A. Zaitsev, Yu. B. Radvogin, Yu. G. Rykov, “Computation of non-stationary swirled flows in nozzles and pipes using new ‘explicit-implicit’ type scheme”, Keldysh Institute preprints, 2004, 052, 32 pp.  mathnet
35. Yu. G. Rykov, “On the Generalization of Burgers Equation to the Case of Linebreak Bounded Dissipation Flux”, Keldysh Institute preprints, 1999, 050  mathnet
36. Yu. G. Rykov, “Propagation of singularities of shock wave type in a system of equations of two-dimensional pressureless gas dynamics”, Mat. Zametki, 66:5 (1999),  760–769  mathnet  mathscinet  zmath; Math. Notes, 66:5 (1999), 628–635  isi
37. Yu. G. Rykov, “The Singularities of Type of Shock Waves in Pressureless Medium, the Solutions in the Sense of Measures and Kolombo's Sense”, Keldysh Institute preprints, 1998, 030  mathnet
38. Yu. G. Rykov, “On the Dynamical System which Corresponds To 2-D System of Gas Dynamics without Pressure”, Keldysh Institute preprints, 1997, 068  mathnet
39. Yu. G. Rykov, “The Cauchy problem for some models of one-dimensional gas dynamics”, Dokl. Akad. Nauk, 349:6 (1996),  740–742  mathnet  mathscinet  zmath
40. Yu. G. Rykov, “The Numerical Method for Solving the 2-D System of Gas Dynamics without Pressure”, Keldysh Institute preprints, 1996, 076  mathnet
41. Yu. G. Rykov, “A variational principle for a two-dimensional system of equations of gas dynamics without stress”, Uspekhi Mat. Nauk, 51:1(307) (1996),  165–166  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:1 (1996), 162–164  isi  scopus
42. Yu. G. Rykov, “The Existence Theorems for Cauchy Problem to One Dimensional Models of Gas Dynamics”, Keldysh Institute preprints, 1995, 107  mathnet
43. I. Veinan, Yu. G. Rykov, Ya. G. Sinai, “The Lax–Oleinik variational principle for some one-dimensional systems of quasilinear equations”, Uspekhi Mat. Nauk, 50:1(301) (1995),  193–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:1 (1995), 220–222  isi
44. Yu. G. Rykov, “Localization of perturbations in a boundary value problem for a first-order quasilinear equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, 1,  73–75  mathnet  mathscinet  zmath
45. Yu. G. Rykov, “Character of propagation of disturbances in the Cauchy problem for quasilinear first-order equations”, Mat. Zametki, 42:5 (1987),  712–722  mathnet  mathscinet  zmath; Math. Notes, 42:5 (1987), 892–897  isi

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