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Rykov, Yuri Germanovich

Statistics Math-Net.Ru
Total publications: 56
Scientific articles: 56
Presentations: 4

Number of views:
This page:1230
Abstract pages:11613
Full texts:3975
References:1476
Senior Researcher
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

Subject:

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

https://www.mathnet.ru/eng/person17342
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/249978

Publications in Math-Net.Ru Citations
2024
1. Yu. G. Rykov, “On the evolution of the hierarchy of shock waves in a two-dimensional isobaric medium”, Izv. RAN. Ser. Mat., 88:2 (2024),  96–126  mathnet  mathscinet; Izv. Math., 88:2 (2024), 284–312  isi  scopus
2023
2. V. E. Borisov, V. T. Zhukov, M. M. Krasnov, B. V. Kritskiy, N. D. Novikova, Yu. G. Rykov, O. B. Feodoritova, “Program package NOISEtte-MCFL for simulation multicomponent reacting flows”, Keldysh Institute preprints, 2023, 006, 23 pp.  mathnet 2
3. V. I. Baluta, V. P. Osipov, Yu. G. Rykov, B. N. Chetverushkin, “On the concept of influence in the concept of cognitive modeling when using the activation function of the ReLU type”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2023, no. 4,  59–71  mathnet  elib 1
4. Yu. G. Rykov, “On the interaction of shock waves in two-dimensional isobaric media”, Uspekhi Mat. Nauk, 78:4(472) (2023),  199–200  mathnet  mathscinet; Russian Math. Surveys, 78:4 (2023), 779–781  isi  scopus 1
5. N. V. Klyushnev, Yu. G. Rykov, “On model two-dimensional pressureless gas flows: Variational description and numerical algorithm based on adhesion dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023),  639–656  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 63:4 (2023), 606–622 2
2022
6. Yu. G. Rykov, “On modeling the development of the region in conditions of high uncertainty and lack of data”, Keldysh Institute preprints, 2022, 034, 16 pp.  mathnet
7. V. E. Borisov, B. V. Kritsky, Yu. G. Rykov, “MCFL-Chem software module for numerical simulation of high-speed reacting flows”, Keldysh Institute preprints, 2022, 021, 40 pp.  mathnet 1
8. E. Yu. Akulinina, A. L. Karmanov, N. A. Teplykh, V. V. Vlasov, V. I. Baluta, S. S. Varykhanov, A. A. Karandeev, V. P. Osipov, Yu. G. Rykov, B. N. Chetverushkin, “Extracting factual information about the pandemic from open Internet sources”, Mat. Biolog. Bioinform., 17:2 (2022),  423–440  mathnet  elib
9. A. I. Aptekarev, Yu. G. Rykov, “Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case”, Mat. Zametki, 112:4 (2022),  486–499  mathnet; Math. Notes, 112:4 (2022), 495–504  scopus 3
2021
10. V. P. Osipov, Yu. G. Rykov, B. N. Chetverushkin, “Mathematical aspects of the concept of influence in the cognitive simulations”, Artificial Intelligence and Decision Making, 2021, no. 2,  3–10  mathnet  elib; Scientific and Technical Information Processing, 49:5 (2022), 350–355
11. Yu. G. Rykov, “The technology of using fuzzy cognitive maps from a mathematical point of view”, Keldysh Institute preprints, 2021, 073, 22 pp.  mathnet 2
12. 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  elib; Math. Notes, 110:6 (2021), 972–975  isi  scopus
2020
13. V. E. Borisov, Yu. G. Rykov, “Simulation of multicomponent gas flows using double-flux method”, Matem. Mod., 32:10 (2020),  3–20  mathnet; Math. Models Comput. Simul., 13:3 (2021), 453–465 9
14. 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 6
2019
15. 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 2
16. 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  zmath  elib; Russian Math. Surveys, 74:6 (2019), 1117–1119  isi  scopus 9
2018
17. 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 8
18. 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 6
19. Yu. G. Rykov, “Multi-D variational principle and pressureless gas dynamics”, Keldysh Institute preprints, 2018, 080, 12 pp.  mathnet
20. 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 2
21. 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 5
2016
22. 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
23. Yu. G. Rykov, “2D pressureless gas dynamics and variational principle”, Keldysh Institute preprints, 2016, 094, 14 pp.  mathnet 3
24. 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 2
25. 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
26. 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 2
2015
27. 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 5
28. 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 2
2014
29. 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 1
30. 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 4
31. 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 2
2012
32. 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 2
33. 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
34. 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 3
35. 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 5
36. 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 3
37. 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 3
2011
38. 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 3
39. 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 4
2010
40. 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 2
2009
41. 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 2
2008
42. Yu. G. Rykov, “A rigorous formulation of streamline approach in reservoir simulation for compressible compositional case”, Keldysh Institute preprints, 2008, 004, 16 pp.  mathnet 2
2007
43. 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
44. 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 1
2004
45. 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 1
1999
46. Yu. G. Rykov, “On the Generalization of Burgers Equation to the Case of Linebreak Bounded Dissipation Flux”, Keldysh Institute preprints, 1999, 050  mathnet
47. 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 4
1998
48. 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 3
1997
49. Yu. G. Rykov, “On the Dynamical System which Corresponds To 2-D System of Gas Dynamics without Pressure”, Keldysh Institute preprints, 1997, 068  mathnet
1996
50. 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
51. Yu. G. Rykov, “The Numerical Method for Solving the 2-D System of Gas Dynamics without Pressure”, Keldysh Institute preprints, 1996, 076  mathnet
52. 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 6
1995
53. Yu. G. Rykov, “The Existence Theorems for Cauchy Problem to One Dimensional Models of Gas Dynamics”, Keldysh Institute preprints, 1995, 107  mathnet
54. 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 12
1988
55. 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, no. 1,  73–75  mathnet  mathscinet  zmath
1987
56. 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

Presentations in Math-Net.Ru
1. On the variational approach to systems of quasilinear conservation laws
Yu. G. Rykov
Seminar on nonlinear problems of partial differential equations and mathematical physics
November 21, 2023 18:00   
2. The interaction of shocks in 2D pressureless medium
Yu. G. Rykov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 7, 2023 10:00   
3. Процессы концентрации в двумерной системе уравнений газовой динамики без давления
Yu. G. Rykov

November 10, 2022 15:00
4. Concentration processes in the system of equations of gas dynamics without pressure
Yu. G. Rykov
Seminar on nonlinear problems of partial differential equations and mathematical physics
October 11, 2022 18:00   

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