[1] | Gubarev, Yu.G., On the Converse Lagrange Theorem in Magnetohydrodynamics, J. Appl. Math. Mech., 54 (6), 812-815 (1990). |
[2] | Gubarev, Yu.G., Instability of a Self-Gravitating Compressible Medium, J. Appl. Mech. Tech. Phys., 35 (4), 546-555 (1994). |
[3] | Vladimirov, V.A., Gubarev, Yu.G., The Conditions for the Nonlinear Stability of Plane and Helical MHD Flows, J. Appl. Math. Mech., 59 (3), 415-423 (1995). |
[4] | Gubarev, Yu.G., Instability of Axially Symmetric MHD Flows, Fluid Dyn., 30 (6), 814-820 (1995). |
[5] | Gubarev, Yu.G., Instability of Helical Magnetohydrodynamic Flows, Fluid Dyn., 34 (1), 126-132 (1999). |
[6] | Gubarev, Yu.G., Kovylina, S.S., Instability of the Quiescent State of an Ideal Conducting Medium in a Magnetic Field, J. Appl. Mech. Tech. Phys., 40 (2), 317-324 (1999). |
[7] | Gubarev, Yu.G., Negmatov, M.-B.A., The Instability of the States of Rest of a Viscous Ideally Conducting Compressible Medium Containing Magnetic Field, J. Appl. Math. Mech., 64 (4), 619-625 (2000). |
[8] | Gubarev, Yu.G., Nikulin, V.V., Linear Longwave Instability of a Single Class of Steady-State Jet Flows of an Ideal Fluid in the Field of a Self-Electric Current, Fluid Dyn., 36 (2), 225-235 (2001). |
[9] | Gubarev, Yu.G., The Direct Lyapunov Method in Magnetohydrodynamics, Novosibirsk State University Press, Novosibirsk (2002), 170 p. (in Russian). |
[10] | Gubarev, Yu.G., Nikulin, V.V., A Criterion of the Linear Long Wave Stability of Steady Magnetohydrodynamic Jet Flows of an Ideal Fluid, J. Appl. Math. Mech., 67 (5), 749--761 (2003). |
[11] | Gubarev, Yu.G., Stability of Steady-State Shear Jet Flows of an Ideal Fluid with a Free Boundary in an Azimuthal Magnetic Field against Small Long-Wave Perturbations, J. Appl. Mech. Tech. Phys., 45 (2), 239-248 (2004). |
[12] | Gubarev, Yu.G., On Instability of Hydrodynamical Flows, in: AIP Conference Proceedings, v. 849; ZABABAKHIN SCIENTIFIC TALKS-2005: International Conference on High Energy Density Physics, Snezhinsk, Russia, 5-10 September 2005; eds Evgeniy N. Avrorin, Vadim A. Simonenko; Russian Federal Nuclear Center-Zababakhin All-Russia Research Institute of Technical Physics, Snezhinsk, Russia; American Institute of Physics, Melville, New York (2006), 335-340. |
[13] | Gubarev, Yu.G., On Stability of Steady-State Plane-Parallel Shearing Flows in a Homogeneous in Density Ideal Incompressible Fluid, Nonlinear Analysis: Hybrid Systems, 1 (1), 103-118 (2007). |
[14] | Gubarev, Yu.G., The Development of Lyapunov's Direct Method in the Application to New Types of Problems of Hydrodynamic Stability Theory, in: Progress in Nonlinear Analysis Research, ed. Erik T. Hoffmann, chapter 7, Nova Science Publishers, inc., New York (2009), 137-181. |
[15] | Gubarev, Yu.G., Linear Stability Criterion for Steady Screw Magnetohydrodynamic Flows of Ideal Fluid, Thermophysics and Aeromechanics, 16 (3), 407-418 (2009). |
[16] | Gubarev, Yu.G., On the Stability of Jetlike Magnetohydrodynamic Flows, Journal of Applied and Industrial Mathematics, 4 (3), 318-331 (2010). |
[17] | Gubarev, Yu.G., Sufficient Conditions for Linear Long-Wave Instability of Steady-State Axisymmetric Flows of an Ideal Liquid with a Free Boundary in an Azimuthal Magnetic Field, Technical Physics, 56 (3), 345-350 (2011). |