Irina V. Denissova

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Research Interests:

• Partial differential equations

• Mathematical problems of hydrodynamics and hydro-elasticity

• Problems with interfaces and free boundaries

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Education:

1990	Ph.D. (mathematics)
1986–1989	Graduate course at the Leningrad Branch of V.A. Steklov Mathematical Institute of the Academy of Sciences of USSR. Adviser: Prof. V.A. Solonnikov.
1977–1982	Undergraduate course at the Mathematics and Mechanics Department of the Leningrad University. Adviser: Prof. N.N. Uraltzeva.

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Thesis title:	"The motion of a drop in a viscous incompressible liquid flow."
Diploma:	"A problem with one-sided constraints on the separation interface of two domains."

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Employment

1997	Senior researcher. Laboratory for Math. Modelling of Wave Phenomena. Institute of Problems of Mechanical Engineering.
1992–1996	Senior researcher. Hydro-elasticity laboratory, the same institute.
1990–1992	Researcher. Laboratory of measuring methods, the same institute.
1982–1986	Engineer. Leningrad Electro-physical Apparatus Institute.

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List of major publications

• Denisova I.V., Model problem connected with the motion of two incompressible fluids (to appear in Advances in Math. Sciences and Applications, 17 (2007), no. 1).

• Denisova I.V., ( D.A.Indeytsev and A.V. Klimenko), Stability of a viscoelastic plate in fluid flow, Priklad. Meh. i Tehn. Fizika, 47 (2006), no. 4, 66–74 (English transl. in J. Appl. Mech. and Technic. Phys., 47 (2006), no. 4, 515–522).

• 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).

• 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.

• 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. (to appear)).

• 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 ).

• Classical solvability of a model problem related to the motion of an isolated mass of compressible fluid. 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).

• Evolution of a closed interface between two liquids of different types, Proceedings of the 3d European Congr. Math. different types, Proceedings of the 3ecm in Barcelona, July 2000, Birkhauser Verlag Basel, Progress in Mathematics 202 (2001), 263–272.

• Evolution of compressible and incompressible fluids separated by a closed interface, Interfaces and Free Boundaries, 2(3), (2000) 283–312.

• 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 (in Russian) (English transl. in J. Math. Sci. 99(1) (2000), 837–853).

• Classical solvability of the problem the two viscous incompressible fluids motion, Algebra Anal. 7 (1995), no. 5 (English transl. in St. Petersburg Math. J. 7(5) (1996) 755–786) (with V.A. Solonnikov).

• Problem of the motion of two viscous incompressible fluids separated by a closed free interface, Acta Applicandae Mathematicae, 37(1994), 31–40.

• Hoelder spaces solvability of a model initial-boundary value problem generated by a problem on the motion of two fluids, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 188(1991), p. 5–44. (English transl. in Proc. Steklov Inst. Math., 70(3) (1994), 1717–1746) (with V.A. Solonnikov).

• 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, p. 122–148 (English transl. in St. Petersburg Math. J. 5(4) (1994)).

• 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, p.1–24.)

• Solvability of the linearized problem on a motion of a drop in a liquid flow, Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 171(1989), p. 53–65 (English transl. in J. Soviet Math., v. 56, 1991, n. 2, p. 2309–2316). (with V.A. Solonnikov)

• A problem with one-sided constraints on the separation surface of two domains, Vestnik Leningrad. Univers. (LGU), 1985, no. 8, 36–42. (English transl. in Vestnik Leningrad University: Mathematics, 1985, v. 18, n. 2, p. 43.) (with N.N. Uraltzeva)

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Grants

• Grants of Russian Basic Research Foundation (RBRF) 2001–2002, 2003–2004, 2005–2007;

• Grant of U.S. Civilian Research and Development Foundation (CRDF) 2004–2006.

• European Science Foundation, Program "Free boundary problems", Sept.–Dec. 1995 (France); Dec. 1996 (Germany);

• "Cultural Initiative" (the Soros Foundation), 1993–1994;

• The DFG Research Group "Equations of Hydrodynamics" (Germany), Sept.–Nov. 1993;

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Meetings

• 17th Crimean Autumn Mathematical School-Symposium, Batiliman, Ukraina, Sept. 17–29, 2006;

• International Conference "Parabolic and Navier–Stokes Equations", Bedlewo, Poland, Sept. 10–17, 2006;

• International Conference "Geometrical Aspects of Free Boundary Problems", St. Petersburg, Russia, August 2006;

• All-Russian Conference "Free Boundary Problems: Theory, Experiment and Applications", Biisk, Russia, (July, 4–8, 2005);

• 10th International Conference "Free Boundary Problems: Theory and Applications", Coimbra, Portugal, (June, 7–12, 2005);

• International seminar "Days on Diffraction'2004", July 2004, St. Petersburg, Russia;

• International Workshop "Directions on Partial Differential Equations" Novem. 2003, Ferrara, Italy;

• International Conference "Trends in Partial Differential Equations of Math. Physics", June 2003, Obidos, Portugal;

• 9th International Conference "Free Boundary Problems: Theory and Applications", June 2002, Trento, Italy;

• International Conference "Navier–Stokes Equations and Related Topics", Sept. 2002, St. Petersburg, Russia;

• 3d European Congress on Mathematics, Barcelona (Spain), July 2000;

• Congress on Free Boundary Problems, Chiba (Japan), November 1999;

• Workshop "Free Boundaries in Viscous Flows", St. Petersburg (Russia), Sept. 1996 (member of Organizing committee).

• ICIAM, Gamburg (Germany), July 1995;

• Congress on Free Boundary Problems, Zakopane (Poland), June 1995;

• 2d and 3d International Conference on the Navier–Stokes Equations (Ferrara, Italy, 1993 and Madeira, Portugal, May 1994);

• 1st and 3d Winter Schools on Mathematical Theory in Fluid Dynamics (Prague, Czech. Republ. 1991, 1993);

• 7th, 8th, 9th Conferences "Nonlinear Problems of Mathematical Physics" (Ukraine, 1989, 1991, 1993);

• 14th National School on Numerical Methods in Varna (Bulgary, 1988).

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Telephone: (812) 321-47-66
Email: ira@wave.ipme.ru

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Updated: 26/03/07