DEPARTMENT OF EQUATION OF MATHEMATICAL PHYSICS SUSU

RUSSIAN VERSION

 
Georgy A. Sviridyuk

 

Свиридюк Г.А.

doctor of physical and mathematical sciences

full professor

chief of department

 

ridyu@math.susu.ru


Area of scientific interests

Уравнения соболевского типа, вырожденные полугруппы операторов, морфология фазовых пространств, неклассические уравнения математической физики, оптимальное управление, устойчивость решений, обратные задачи.



Biography and education

Date of birth – January 13, 1952.

Bachelor, Novosibirsk State University (Novosibirsk, Russia) (1969-1974).

Master, Kemerovo State University (Kemerovo, Russia) (1976-1977).

PhD-student, Leningrad State University (Leningrad, Russia) (1983-1986).

Cand. Sci. (Math) (which is equivalent to the PhD (Math) degree) (Voronezh, Russia) Thesis "Some Mathematical Problems of Filtration and Dynamic of Fluids" (1987).

Doct. Sci. (Math) (which is equivalent to the DcS (Math) degree) (Ekaterinburg, Russia) Thesis topic "The study of semilinear Sobolev type equations in Banach spaces" (1993).



Personal experience and awards

Assistant, Chelyabinsk State University (1987-1988).

Senior Lecturer, Chelyabinsk State University (1988-1989).

Docent (Associate Professor), Chelyabinsk State University (1989-1993).

Full Professor (since 1993).

Soros Associate Professor (1996).

Soros Full Professor (1997, 1998, 1999).

The state scientific grant (1994-1996).



Ученики Г. А. Свиридюка

  1. Tamara G. Sukacheva. "Analysis some models of an incompressible viscoelastic fluid" – Thesis Doct. Sci. (DSc). Novgor. St. Univ. Great Novgorod, 2004.
    "Study of phase spaces of semilinear singular equations of dynamic type" – Thesis Cand. Sci. (PhD). Voron. St. Univ. Voronezh, 1990.

  2. Tatyana A. Bokareva. "Study of phase spaces of Sobolev type equations with relatively sectorial operators" – Thesis Cand. Sci. (PhD). Leningrad, 1993.

  3. Larisa L. Dudko. "Study of semigroups of operators with kernels" – Thesis Cand. Sci. (Phd). Saint Petersburg, 1996.

  4. Vladimir E. Fedorov. "Investigation of semigroups of solutions of linear Sobolev type equations in Banach and locally convex spaces" – Thesis Doct. Sci. (DSc). Inst. Mech. And Math. Ural. Branch of Russian Acad. of Science. Ekaterinburg, 2005.
    "Study of resolving semigroups of linear Sobolev type equations" – Thesis Cand. Sci. (PhD). Ural. St. Univ. Ekaterinburg, 1996.

  5. Alexander A. Efremov. "Study of optimum control of linear Sobolev type equations" – Thesis Cand. Sci. (PhD). Ural. St. Univ Ekaterinburg, 1996.

  6. Alevtina V. Keller. "Study of bounded solutions of linear Sobolev type equations" – Thesis Cand. Sci. (PhD). Ural. St. Univ. Ekaterinburg, 1998.

  7. Maksut M. Yakupov. "Study of phase spaces in some problems of hydrodynamics" – Thesis Cand. Sci. (PhD). Ural. St. Univ. Ekaterinburg, 1999.

  8. Gennady A. Kuznetzov. "Study of relatively spectral properties of linear Sobolev type equations" – Thesis Cand. Sci. (PhD). Ural. St. Univ. Ekaterinburg, 1999.

  9. Sergey V. Brichev. "Study of mathematical model of municipal services economy of towns" – Thesis Cand. Sci. (PhD). Chelyabinsk St. Univ. Chelyabinsk, 2002.

  10. Sophiya A. Zagrebina. "Study of mathematical models of filtration of a fluid" – Thesis Cand. Sci. (PhD). Chelyabinsk St. Univ. Chelyabinsk, 2002.

  11. Alyona A. Zamyshlyaeva. "Study of a class linear Sobolev type equations of high order" – Thesis Cand. Sci. (PhD). Inst. of systems dynamics and control theory. Irkutsk, 2004.

  12. Vladimir O. Kazak. "Study of phase spaces of a class semilinear Sobolev type equations" – Thesis Cand. Sci. (PhD). Inst. of systems dynamics and control theory. Irkutsk, 2005.



List of the basic publications

Monography

  1. Sviridyuk G. A., Fedorov V. E. Linear Sobolev Type Equations and Degenerate Semigroups of Operators. Utrecht – Boston – Tokyo – Keln: VSP, 2003. 216 p.


Scientific articles

  1. Sviridyuk G. A. The manifold of solutions of an operator singular pseudoparabolic equation. (Russian) Dokl. Akad. Nauk SSSR 289 (1986), no. 6, 1315-1318.

  2. Sviridyuk G. A. A singular system of ordinary differential equations. (Russian) Differentsialnye Uravneniya 23 (1987), no. 9, 1637-1639, 1655.

  3. Sviridyuk G. A. The Cauchy problem for a linear operator equation of Sobolev type with a nonpositive operator multiplying the derivative.(Russian)Differentsialnye Uravneniya 23 (1987), no. 10, 1823- 1825, 1839.

  4. Sviridyuk G. A. The Cauchy problem for a linear singular operator equation of Sobolev type. (Russian) Differentsialnye Uravneniya 23 (1987), no. 12, 2168-2171,2207.

  5. Sviridyuk G. A. A model for the dynamics of an incompressible viscoelastic fluid. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1988, no. 1, 74-79. 88; translation in Soviet Math. (Iz. VUZ) 32 (1988), no. 1, 94-100.

  6. Sviridyuk G. A. On the manifold of solutions of a problem on the dynamics of a incompressible viscoelastic fluid. (Russian) Differentsialnye Uravneniya 24 (1988), no. 10,1832-1834, 1840.

  7. Sviridyuk G. A. A problem of Showalter. (Russian) Differentsialnye Uravneniya 25 (1989), no. 2, 338-339, 366.

  8. Sviridyuk G. A. The manifold of solutions of a nonlinear singular pseudoparabolic equation. (Russian) Dokl. Akad. Nauk SSSR 289 (1989). no.6,1315-1318.

  9. Sviridyuk G. A. A problem for the generalized Boussinesq filtration equation. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1989, no. 2, 55-61.

  10. Sviridyuk G. A. A problem of the dynamics of a viscoelastic incompressible fluid. (Russian) Differentsialnye Uravneniya 26 (1990), no. 11, 1992-1998, 2022; translation in Differential Equations 26 (1990), no. 11, 1495-1499 (1991).

  11. Sviridyuk G. A. Solvability of a problem of the termoconvection of a viscoelastic incompressible fluid. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat.1990, no. 12, 65-70; translation in Soviet Math. (Iz. VUZ) 34 (1990), no. 12, 80-86.

  12. Sviridyuk G. A. Semilinear equations of Sobolev type with a relatively bounded operator. (Russian) Dokl. Akad. Nauk SSSR 318 (1991), no. 4, 828-831.

  13. Sviridyuk G. A. Semilinear equations of Sobolev type with a relatively sectorial operator. (Russian) Dokl. Akad. Nauk 329 (1993), no. 3, 274-277.

  14. Sviridyuk G. A. Quasistationary trajectories of semilinear dynamical equations of Sobolev type. (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 57 (1993), no. 3, 192-207.

  15. Sviridyuk G. A. On a model of the dynamic of a weekly compressible viscoelastic fluid. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1994, no, 1, 62-70.

  16. Sviridyuk G. A. On the general theory of operator semigroups. (Russian) Uspekhi Mat. Nauk 49 (1994), no. 4 (298), 47-74.

  17. Sviridyuk G. A. Sobolev-type linear equations and strongly continuous semigroups of resolving operators with kernels. (Russian) Dokl. Akad. Nauk 337 (1994), no, 5, 581-584; translation in Russian Acad. Set. Dokl. Math. 50 (1995), no. 1, 137-142.

  18. Sviridyuk G. A. Phase portraits of Sobolev type semilinear equations with a relatively strongly sectorial operator. (Russian) Algebra i Analiz 6 (1994), no.5, 252-272; translation in St. Petersburg Math, J. 6 (1995), no. 5, 1109-1126.

  19. Sviridyuk G. A. Morphology of phase space of a class semilinear equations of Sobolev type. (Russian) Vestnik Chelyabinsk. Univ. Ser, 3 Mat. Mech. 1999.no. 2, 68-86.

  20. Sviridyuk G. A. Sobolev type equations on graphs (Russian) Nonclassical equations of mathematical physics. Novosibirsk; Izd-vo IM CO RAN. 2002, 221-225.

  21. Sviridyuk G. A., Apetova T. V. Phase spaces of linear dynamical equations of Sobolev type. (Russian) Dokl. Akad. Nauk 330 (1993), no. 6, 696-699; translation in Russian Acad. Sci. Dokl. Math. 47 (1993), no. 3, 612-617.

  22. Sviridyuk G. A., Bokareva T. A. Whitney folds of the phase spaces of some semilinear equations of Sobolev type. (Russian) Mat. Zametki 55 (1994), no. 3, 3-10; 141; translation in Math. Notes 55 (1994), no. 3-4, 237-242.

  23. Sviridyuk G. A., Brichev S. V. Existence of non-negative solutions of Leontiev system equations. (Russian) Nonclassical equations of mathematical physics, Novosibirsk; Izd-vo IM CO RAN, 2000, 14-17.

  24. Sviridyuk G. A., Vakarina O. V. The Cauchy problem for a linear operator equation of Sobolev type of high order, (Russian) Differentsialnye Uravneniya 33 (1997), no. 10, 1410-1418.

  25. Sviridyuk G. A., Vakarina O. V. Linear equations of Sobolev type of high order. Dokl. Akad. Nauk 363 (1998), no. 3, 308-310.

  26. Sviridyuk G. A., Efremov A. A. Optimal control of Sobolev type linear equations with relativity p-sectorial operators. (Russian) Differentsialnye Uravneniya 31 (1995), no. 11, 1912-1919; 1943; translation in Differential Equations 31 (1995), no. 11, 1882-1890.

  27. Sviridyuk G. A., Efremov A. A. An optimal control problem for a class of linear equations of Sobolev type. (Russian) Izv. Vyssh. Uchebn. Zaved, Mat. 1996, no 12, 75-83; translation in Russian Math. (Iz.VUZ) 40 (1996), no 12, 72-80 (1997).

  28. Sviridyuk G. A., Efremov A. A. An optimal control problem for a class of linear degenerate equations of Sobolev type. (Russian) Dokl. Ros. Akad. Nauk 3 (1999), no. 3, 323-325.

  29. Sviridyuk G. A., Zagrebina S. A. Verigin problem for linear equations of Sobolev type with relativity p-sectorial operators (Russian) Differentsialnye Uravneniya. 38 (2002), no. N 12, 1646-1652.

  30. Sviridyuk G. A., Zamyshlyaeva A. A. Morphology of phase space of a class semilinear equations of Sobolev type of high order. (Russian) Vestnik Chelyabinsk. Univ. Ser. 3 Mat. Mech. 2 (1999), 87-102.

  31. Sviridyuk G. A., Kazak V. O. Phase space of initial-boundary value problem for a Hoff equations. (Russian) Mat. Zametki. 71 (2002), no. 2. 292-297.

  32. Sviridyuk G. A., Keller A. V. Invariant spaces and dichotomies of solutions of a class of linear equations of Sobolev type. (Russian) Izv. Vyssh. Uchebn. Zaved.Mat. 1997, no 5, 60-68; translation in Russian Math. (Iz. VUZ) 41 (1997), no.5,57-65.

  33. Sviridyuk G. A., Klimentev M. V. Phase spaces of Sobolev type equations with s-monotone or strongly coercive operators. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1994, no. 11, 75-82; translation in Russian Math. (Iz. VUZ) 38 (1994), no. 11,72-79(1995).

  34. Sviridyuk G. A., Kuznetzov G. A. On relatively p-sectorialness of differential operators. (Russian) Nonclassical equations of mathematical physics. Novosibirsk: Izd-vo IM CO RAN, 1998, 49-57.

  35. Sviridyuk G. A., Kuznetzov G. A. On relatively strong p-sectorialness of linear operators. (Russian) Dokl- Akad. Nauk 365 (1999), no. 5, 736-738.

  36. Sviridyuk G. A., Manakova N. A. Regular perturbations of a class linear equations of Sobolev type. (Russian) Differentsialnye Uravneniya. 38 (2002), no. 3. 423-425; translation in Differential equations.

  37. Sviridyuk G. A., Plekhanova M. V. Optimum control problem for the Oskolkov equation. (Russian) Differentsialnye Uravneniya- 38 (2002), no. 7, 997-998.

  38. Sviridyuk G. A., Semenova I. N. Solvability of an inhomogeneous problem for the generalized Boussinesq filtration equations. (Russian) Differentsialnye Uravneniya 24 (1988), no. 9, 1607-1611, 1654; translation in Differential Equations 24 (1988), no. 9, 1065-1069.

  39. Sviridyuk G. A., Sukacheva T. G. Rapid-slow dynamics of viscoelastic media. (Russian) Dokl. Akad. Nauk SSSR 308 (1989), no. 4. 791-794; translation in Soviet Math. Dokl. 40 (1990), no- 2, 376-379.

  40. Sviridyuk G. A., Sukacheva T. G. Phase spaces of a class of operator semilinear equations of Sobolev type. (Russian) Differentsialnye Uravneniya 26 (1990), no. 2, 250-258, 365; translation in Differential Equations 26 (1990), no. 2, 188-195.

  41. Sviridyuk G. A., Sukacheva T. G. The Cauchy problem for a class of semilinear equations of Sobolev type. (Russian) Sibirsk. Mat. Zh. 31 (1990), no. 5, 109-119, 214; translation in Siberian Math. J. 31 (1990), no. 5, 794-802 (1991).

  42. Sviridyuk G. A., Sukacheva T. G. Slow manifolds of a class of semilinear equations of Sobolev type. (Russian) Vestnik Chelyabinsk. Univ, Ser. Mat. Mech. 1991, no. 1, 3-20.

  43. Sviridyuk G. A., Sukacheva T. G. Notes about linear models of viscoelastic media. (Russian) Vestnik Chelyabinsk. Univ. Ser. Mat. Mech. No. 1 (3), 1996, 135-147.

  44. Sviridyuk G. A., Sukacheva T. G. About resolvability of a non-stationary problem of dynamics of a viscoelastic incompressible liquid. (Russian) Mat. Zametki 63 (1998), no. 3, 442-450.

  45. Sviridyuk G. A., Sukacheva T. G., Dudko L. L. Necessary and sufficient conditions for the relative sigma-boundedness of linear operators. (Russian) Dokl. Akad. Nauk 345 (1995), no. 1, 25-27.

  46. Sviridyuk G. A., Sukacheva T. G., Dudko L. L. Relative sigma-boundedness of linear operators. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1997, no 7, 68-73; translation in Russian Math. (Iz. VUZ) 41 (1997), no.7, 65-70.

  47. Sviridyuk G. A., Fedorov V. E. Analytic semigroups with kernels, and linear equations of Sobolev type. (Russian) Sibirsk. Mat. Zh. 36 (1995), no. 5, 1130-1145 iii; translation in Siberian Math. J. 36 (1995), no. 5, 973-987.

  48. Sviridyuk G. A., Fedorov V. E. About units of analytic semigroups of operators with kernels. (Russian) Sibirsk.Mat.Zh.39 (1998), no. 3, 604-616.

  49. Sviridyuk G. A., Fedorov V. E. Semigroups of operators with kernels. (Russian) Vestnik Chelyabinsk. Univ. Ser. 3 Mat. Mech. I (6), 2002, 42 - 70.

  50. Sviridyuk G. A., Yakupov M. M. The phase space of the initial-boundary value problem for the Oskolkov system. (Russian) Differentsialnye Uravneniya 32(1996), no 11, 1538-1543, 1582; translation in Differential equations 32 (1996), no 11, 1535-1540(1996).


Methodical publications

  1. Sviridyuk G. A., Fedorov V. E. Mathematical analysis. Part I. Chelyabinsk: Chelyabinsk St. Univ., 1999. (Russian)
    Download PDF: 896 Kb (165 p.)

  2. Sviridyuk G. A., Keller A. V. Mathematical analysis. Part II. Chelyabinsk: Chelyabinsk St. Univ., 2000. (Russian)
    Download PDF: 886 Kb (63 p.)

  3. Sviridyuk G. A., Kuznetzov G. A. Mathematical analysis. Part III. Chelyabinsk: Chelyabinsk St. Univ., 2000. (Russian)

  4. Sviridyuk G. A., Zamyshlyaeva A. A. Mathematical analysis. Part IV. Chelyabinsk: Chelyabinsk St. Univ., 2001. (Russian)
    Download PDF: 894 Kb (183 p.)

  5. Plyshevskaya T. K., Sviridyuk G. A. Foundations of rte theory of complex variable function. Magnitogorsk: Magnit. St. Univ., 2002. (Russian)

  6. Sviridyuk G. A., Malysheva L. N., Zagrebina S. A. Lecture of history of mathematics. Magnitogorsk: Magnit. St. Univ., 2002. (Russian)

  7. Sviridyuk G. A., Yakupov M. M. Some aspects of functional analysis. Magnitogorsk: Magnit. St. Univ., 2002. (Russian)

  8. Sviridyuk G. A., Fedorov V. E. Linear equations of Sobolev type. Chelyabinsk: Chelyabinsk St. Univ., 2003. (Russian)


Тезисы докладов

  1. Свиридюк Г. А., Федоров В. Е. Об одном множестве "новых" результатов // Совр. методы теории функций и смежные проблемы. Тез. докл. Воронеж, 2001. С. 236-238.
    Текст в формате PDF: 55 КБ (2 с.)

 

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