Dynamical systems generated by PDEs; asymptotic behaviour of solutions to PDEs (including retarded ones) that describe nonolinear oscillations of a thermoelastic plate in a gas flow.
Main publications:
Ryzhkova I. Stabilization of von Kármán plate in the presence of thermal effects in the subsonic flow of gas // J. Math. Anal. Appl. 2004. Vol. 294/2. P. 462–481.
Ryzhkova I. Dynamics of a thermoelastic von Karman plate in a subsonic gas flow // Zeitschrift für Angewandte Mathematik und Physik. 2007. Vol. 58. P. 246–261.
Ryzhkova I. On Trace Regularity of Solutions to a Wave Equation with Homogeneous Neumann Boundary Conditions // Zhurnal matematicheskoi fiziki, analiza, geometrii. 2007. T. 3, # 4. C. 468–489.
Igor Chueshov, Tamara Fastovska, Iryna Ryzhkova, “Quasi-stability method in study of asymptotic behavior of dynamical systems”, Zh. Mat. Fiz. Anal. Geom., 15:4 (2019), 448–501
I. A. Ryzhkova, “On trace regularity of solutions to a wave equation with homogeneous Neumann boundary conditions”, Zh. Mat. Fiz. Anal. Geom., 3:4 (2007), 468–489
2005
3.
I. Ryzhkova, “On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas”, Mat. Fiz. Anal. Geom., 12:2 (2005), 173–186
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