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Отдел Дифференциальных уравнений механики Список публикаций за 2018 год (18) - Andreev V. K., Magdenko E. P. Onset of Convection in a Cylindrical Container with a Free Boundary // Fluid Dynamics. — 2018. — V. 53, № 2. — P. 277–284. — DOI: 10.1134/S0015462818020039.
- Andreev V. K., Efimova M. V. A Priori Estimates of the Adjoint Problem Describing the Slow Flow of a Binary Mixture and a Fluid in a Channel // Journal of Siberian Federal University-Mathematics & Physics. — 2018. — V. 11, № 4. — P. 482–493. — DOI: 10.17516/1997–1397-2018-11-4-482–493.
- Andreev V. K., Sobachkina N. L. The Motion of a Binary Mixture with a Cylindrical Free Boundary at Small Marangoni Numbers // Journal of Siberian Federal University-Mathematics & Physics. — 2018. — V. 11, № 2. — P. 194–205. — DOI: 10.17516/1997–1397-2018-11-2-194–205.
- Andreev V. K. On the solution properties of boundary problem simulating thermocapillary flow // Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. — 2018. — V. 11, № 4. — P. 31-40. — DOI: 10.14529/mmpl80402.
- Andreev V. K., Efimova M. V. Properties of Solutions for the Problem of a Joint Slow Motion of a Liquid and a Binary Mixture in a Two-Dimensional Channel // Journal of Applied and Industrial Mathematics. — 2018. — V. 12, № 3. — P. 395–408. — DOI: 10.1134/S1990478918030018.
- Yasnou V, Gaponenko Y., Mialdun A., Shevtsova V. Influence of a coaxial gas flow on the evolution of oscillatory states in a liquid bridge // International Journal of Heat and Mass Transfer. — 2018. — V. 123. — P. 747–759. — DOI: 10.1016/j.ijheatmasstransfer.2018.03.016.
- Gaponenko Y., Mialdun A., Shevtsova V. Pattern selection in miscible liquids under periodic excitation in microgravity: Effect of interface width // Physics of Fluids. — 2018. — V. 30, № 6. — Art. no. 62103. — DOI: 10.1063/1.5032107.
- Efimova M. V., Darabi N. Thermal-Concentration Convection in a System Of Viscous Liquid and Binary Mixture in a Plane Channel with Small Marangoni Numbers // Journal of Applied Mechanics and Technical Physics. — 2018. — V. 59, № 5. — P. 847–856. — DOI: 10.1134/S0021894418050115.
- Stepanova I. V. Symmetry of heat and mass transfer equations in case of dependence of thermal diffusivity coefficient either on temperature or concentration // Mathematical Methods in the Applied Sciences. — 2018. — V. 41, № 8. — P. 3213–3226. — DOI: 10.1002/mma.4811.
- Stepanova I. V. Group analysis of variable coefficients heat and mass transfer equations with power nonlinearity of thermal diffusivity // Applied Mathematics and Computation. — 2019. — V. 343. — P. 57-66. — DOI: 10.1016/j.amc.2018.09.036.
- Cheremnykh E. N. Unidirectional Heat-Gravitational Motion of Viscous Fluid in A Flat Channel with A Given Flow Rate // Journal of Applied Mechanics and Technical Physics. — 2018. — V. 59, № 3. — P. 416–421. — DOI: 10.1134/S0021894418030045.
- Cheremnykh E. N. A Priori Estimates of the Solution of the Problem of the Unidirectional Thermogravitational Motion of a Viscous Liquid in the Plane Channel // Mathematical Notes. — 2018. — V. 103, № 1-2. — P. 145–154. — DOI: 10.1134/S0001434618010169.
- Bekezhanova V. B., Goncharova O. N. Modeling of three dimensional thermocapillary flows with evaporation at the interface based on the solutions of a special type of the convection equations // Applied Mathematical Modelling. — 2018. — V. 62. — P. 145–162. — DOI: 10.1016/j.apm.2018.05.021.
- Bekezhanova V. B., Goncharova O. N. Analysis of the exact solution for the evaporative convection problem and properties of the characteristic perturbations // international Journal of Thermal Sciences. — 2018. — V. 130. — P. 323–332. — DOI: 10.1016/j.ijthermalsci.2018.05.001.
- Bekezhanova V. B., Goncharova O. N., Shefer I. A. Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part II. Three-dimensional Flows // Journal of Siberian Federal University-Mathematics & Physics. — 2018. — V. 11, № 3. — P. 342–355. — DOI: 10.17516/1997–1397-2018-11-3-342–355.
- Bekezhanova V. B., Goncharova O. N., Shefer I. A. Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part I. Plane Case // Journal of Siberian Federal University-Mathematics & Physics. — 2018. — V. 11, № 2. — P. 178–190. — DOI: 10.17516/1997–1397-2018-11-2-178–190.
- Bekezhanova V. B., Shefer I. A. Influence of Gravity on the Stability of Evaporative Convection Regimes // Microgravity Science and Technology. — 2018. — V. 30, № 4. — P. 543–560. — DOI: 10.1007/s12217–018-9628-3.
- Bekezhanova V. B., Goncharova O. N. Problems of Evaporative Convection (Review) // Fluid Dynamics. — 2018. — V. 53, № Suppl.1. — P. S69-S102. — DOI: 10.1134/S001546281804016X.
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