Prof. Denisova Irina Vladimirovna - Leading Researcher - Laboratory for Mathematical Modelling of Wave Phenomena

2014 -- to date: Leading researcher, Laboratory for Math. Modeling of Wave Phenomena, Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences, St. Petersburg, Russia;

1992 -- 2014: Senior researcher, the same laboratory,

1990-1992:  researcher, the same institute

1982-1986: engineer, Electro-physical Apparatus Institute, Leningrad, USSR

Main Publications:

 1.  Uraltzeva N.N., Denisova I.V. Unilateral problem in a composite domain,  Vestnik Leningrad. Gosudarstv. Univers.(LGU) ,1985, no.8, 36--42.

 2. Denisova I.V. A priori estimates of the solution of a linear time dependent problem connected with the motion of a drop in a
fluid medium, Trudy Mat.Inst.Steklov 188  (1990), 3-21 (English transl.in   Proc. Steklov Inst. Math. (1991),no.3, 1--24).

 3. Denisova I.V.,Solonnikov V.A. Solvability of a linearized problem on the motion of a drop in a fluid flow,  Zap. Nauchn. Semin. Leningrad.
Otdel. Mat. Inst. Steklov.(LOMI), 171} (1989),p. 53-65, (English transl. in J. Soviet Math.  56  (1991) n.2, 2309-2316).

 4. Denisova I.V., Investigation of the problem on the motion of a drop in a liquid. Preprint of Leningrad Department of V.A.Steklov
Inst. of Math. (LOMI), P-9-89 (1989), 16pp. (in Russian).

 5.  Denisova I.V., Problem on the unsteady motion of a drop in a viscous incompressible liquid flow. Author's summary of the Ph.D.
-thesis, Leningrad Depart. Steklov Inst. Math. (LOMI), Leningrad, 1989, 14pp. (in Russian).

 6. Denisova I.V., Motion of a drop in a liquid flow. In.: Dinamika Sploshoy Sredy} (Novosibirsk)  93/94  (1989), 32-37 (in Russian).

 7. Denisova I.V.,Solonnikov V.A. Hoelder spaces solvability of a model initial-boundary value problem generated by a problem on the motion
of two fluids, {\it Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov.(LOMI) ,   188}(1991),5-44 (English transl. in J. Soviet Math. 70 (3) (1994), 1717-1746).

 8.  Denisova I.V., Solvability in Hoelder spaces of a linear problem on the motion of two fluids separated by a closed surface, Algebra Anal. 5 (1993),
no.4, 122--148 (English transl. in  St.Petersburg Math. J. 5 (4)(1994)).

 9. Denisova I.V., Problem of the motion of two viscous incompressible fluids separated by a closed free interface,   Acta Applicandae Mathematicae ,
  37  (1994), 31-40.

 10.  Denisova I.V., Classical solvability of the problem describing the evolution of a drop in a liquid medium, Navier-Stokes Equations and Related
Nonlinear Problems edited by A.Sequeira, Plenum Press, New York, 1995, 191-199.

 11. Denisova I.V., Solonnikov V.A. Classical solvability of the problem the two viscous incompressible fluids motion, Algebra Anal.  7 (1995),
no.5, 101-141(English transl. in St.Petersburg Math. J.  7 (5)(1996)).

 12.  Denisova I.V., Motion of two compressible fluids separated by a closed free interface,  Free Boundary Problems News  (edition of European Science
Foundation)  10 , April 1996, 5-6.

 13.  Denisova I.V., Indeytsev D.A., Stability of the beam under the fluid flow with exponential profile, issue of the ZAMM,  Z. angew. Math.
Mech.  76(5) (1996), 115-116.

 14. Denisova I.V., Problem of the motion of two compressible fluids separated by a closed free interface,  Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst.
Steklov. (POMI) ,  243}(1997), 61-86 (English transl. in  J. Math. Sci.  99 (1)(2000), 837-853).

 15.  Denisova I.V., Evolution of compressible and incompressible fluids separated by a closed interface,  Interfaces and Free
Boundaries, Oxford University Press,   2 (2000), 283--312.

 16. Denisova I.V., Evolution of closed interface between two liquids of different types, Proceedings of the 3ecm in Barcelona, July 2000,
Birkhauser Verlag Basel,  Progress in Mathematics, 202  (2001), 263-272.

17. Denisova I.V., Solonnikov V.A., Classical solvability of a model problem in a half-space related to the motion of an isolated mass of a compressible
liquid, Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 271}(2000), 92-113 (English transl. in  J. Math. Sci. 115  (2003), no 6,
2753-2765).

18. Denisova I. V., Solonnikov V. A., Classical solvability of a problem on the motion of an isolated mass of a compressible liquid,  Algebra i
Analiz, 14  (2002), no.1, 71-98 (Russian)(English transl. in   St.~Petersburg Math. J. 14  (2003), no.1, 53-74 ). 

 19.  Denisova I. V., Solvability in weighted Hoelder spaces for a problem governing the evolution of two compressible fluids,  Zap. Nauchn. Semin.
Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 295 (2003), 57-89 (English transl. in   J. Math. Sci.,   127 (2005), no 2).

 20. Denisova I. V., Ladyzhenskaya O. A., Seregin G. A., Uraltseva N. N. and Frolova E. V., Journal Article to the
Jubilee of Vsevolod Alekseevich Solonnikov,  Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 306  (2003), 7-15
(English transl. in J. Math. Sci.,130,(2005), no.4 / October).

 21.  Denisova I.V., Indeytsev D.A., Klimenko A.V., Stability of an infinite flexible beam under a viscous fluid flow with an exponential profile",
Proceedings of the International seminar "Days on Diffraction'2004", St.~Petersb. Branch of Steklov Math. Inst., (2004), 58-67.

22. Denisova I.V., Problem of thermocapillary convection for two incompressible fluids separated by a closed interface,  Progress in Nonlinear
Differential Equations and Their Applications, 61  (2005), 45-64 (Birkhauser Verlag Basel/Switzerland).

23. Denisova I.V., D.A.Indeytsev and A.V. Klimenko, Stability of a viscoelastic plate in fluid flow, PMTF ,  47 (4) (2006), 66-74
(English transl. in J. Appl. Mech. and Technic. Phys., 47  (2006), no.4, 515-522).

 24. Denisova I.V., Model problem connected with the motion of two incompressible fluids, Advances in Math. Sciences and
Applications, 17  (2007), no.1, 195-223.

25. Denisova I.V., Global solvability of a problem on two fluid motion without the surface tension,  Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 348, 2007, 19-39 (English transl. in J. Math. Sci.,  152 (5), (2008) 625-637).

26. Denisova I.V., Thermocapillary convection problem for two compressible immiscible fluids, Microgravity - Scien. Technol.,   20 , no. 3-4 (2008), 287-291.

27. Denisova I.V., S. Nechasova, Oberbeck--Boussinesq approximation for the motion of two incompressible fluids , Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov.,362, 2008, 92-119 (English transl. in J. Math. Sci.,  159 (4), (2009)436-451).

28. Denisova I.V., Solonnikov V. A., Global solvability of a problem governing the motion of two incompressible capillary fluids‚  Zap. Nauchn.
Semin. Peterburg. Otdel. Mat. Inst. Steklov. 397 (2011), 20--52 (English transl. in  J. Math. Sci. 185 , no. 5 (2012), 668-686).

29. Denisova I.V., Global classical solvability of an interface problem on the motion of two fluids, ”RIMS Kokyuroku” series, 1875, Kyoto University, Japan,
Jan. 2014, 84-108.

30. Denisova I.V., Global L_2 -solvability of a problem governing two-phase fluid motion without surface tension,  Portugal. Math. 71, Fasc. 1 (2014), 1-24.

31. On energy inequality for the problem on the evolution of two fluids of different types without surface tension, J Math Fluid Mech (Springer), V. 17(1) (2015), 183-198 (DOI 10.1007/s00021-014-0197-y).

32. Denisova I.V., Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation, Yu. Suzuki and Yo. Shibata (Eds): Mathematical Fluid Dynamics, Present and Future, Springer Proceedings in Mathematics and Statistics, 183 (2016), 49–70. DOI 10.1007/978-4-431-56457-7.

33. Solonnikov V.A., Denisova I.V., Well-Posedness Of Classical Free Boundary Problems In Viscous Incompressible Fluid Mechanics, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids I, Springer, 2017, 1--86 (https://doi.org/10.1007/978-3-319-10151-4_-27-2).

34. Denisova I.V., Solonnikov V.A., Local and global solvability of free boundary problems for the compressible Navier–Stokes equations near the equilibria, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids II, Springer, 2017, 1-88 (https://doi.org/10.1007/978-3-319-10151-4_ -51-3).

35. I. V. Denisova, V. A. Solonnikov, L2 -theory for two incompressible fluids separated by a free interface, Topol. Methods Nonlinear Anal., 52 (2018), 213–238 (DOI: 10.12775/TMNA.2018.019).

36. I. V. Denisova, V. A. Solonnikov, Motion of a Drop in an Incompressible Fluid, monograph, Adv. in Mathematical Fluid Mechanics (Birkh\"{a}user), Springer, 2021, 316 p. (https://doi.org/10.1007/978-3-030-70053-9 ISBN: 978-3-030-70052-2)

37.  I. V. Denisova, V. A. Solonnikov,  Stability of the Rotation of a Two-Phase Drop with Self-Gravity, Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov.,  508, (2021), 89-123. 

38. (with  V. A. Solonnikov)  Rotation Problem for a Two-Phase Drop, J. Math. Fluid Mech. 24(2), 40 (2022) https://doi.org/10.1007/s00021-022-00662-x.

39. (with V. A. Solonnikov) Hoelder Space Theory for Rotation Problem of Two-Phase Drop, Mathematics (2022), 10(24), 4799;                                      https://doi.org/10.3390/math10244799 .

40. G. I. Bizhanova, I. V. Denisova, A. I. Nazarov, K. I. Pileckas, V. V. Pukhnachev, S. I. Repin, J. F. Rodrigues, G. A. Seregin, N. N. Uratseva, E. V. Frolova, “On the 90th birthday of Vsevolod Alekseevich Solonnikov”, Uspekhi Mat. Nauk, (2023) 78:5(473), 187–198

41. I.V. Denisova, V. A. Solonnikov, Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid, SI: Mathematical Problems in Fluid Mechanics, Mathematics 2024, 12(1), 94; https://doi.org/10.3390/math12010094