01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords:
mathematical modelling in continuum mechanics.
UDC:
517.958
Subject:
Stability of the equilibrium state for a hydrodynamical models of charge transport in semiconductors
Main publications:
A.M. Blokhin, R.S. Bushmanov, E.V. Mishchenko, A.S. Rudometova, Qualitative analysis of hydrodynamical models of charge transport in semiconductors, Nova Science Publishers INC, 2011
O.P. Bushmanova, A.S. Rudometova, Differentsialnye uravneniya v matematicheskom modelirovanii. Modeli i metody issledovaniya, Uchebnoe posobie, Izd-vo AltGU, Barnaul, 2010
A.M. Blokhin, R.S. Bushmanov, A.S. Rudometova, V. Romano, “Linear asymptotic stability of the equilibrium state for the 2-D MEP hydrodynamical model of charge transport in semicon-ductors”, Nonlinear Analysis, 65 (2006), 1018–1038
A.M. Blokhin, A.S. Bushmanova, V. Romano, “Stability of the equilibrium state for a hydrodynamical model of charge transport in semiconductors”, Zeitschrift fuer angewandte Mathematik und Physik, 52 (2001), 476–499
A. M. Blokhin, R. E. Semenko, A. S. Rudometova, “Magnetohydrodynamic vortex motion of an incompressible polymeric fluid”, Sib. Zh. Ind. Mat., 24:1 (2021), 5–17; J. Appl. Industr. Math., 15:1 (2021), 7–16
2020
2.
A. M. Blokhin, A. S. Rudometova, D. L. Tkachev, “An MHD model of an incompressible polymeric fluid:
linear instability of a steady state”, Sib. Zh. Ind. Mat., 23:3 (2020), 16–30; J. Appl. Industr. Math., 14:3 (2020), 430–442
2017
3.
A. M. Blokhin, A. S. Rudometova, “Stationary currents of a weakly conducting incompressible polymeric fluid between coaxial cylinders”, Sib. Zh. Ind. Mat., 20:4 (2017), 13–21; J. Appl. Industr. Math., 11:4 (2017), 486–493
A. M. Blokhin, A. S. Rudometova, “Stationary solutions to the equations describing the nonisothermic electrical convection of a weak-conductive incompressible polymeric fluid”, Sib. Zh. Ind. Mat., 18:1 (2015), 3–13; J. Appl. Industr. Math., 9:2 (2015), 147–156
A. M. Blokhin, A. S. Dushmanova, “Asymptotical stability of an equilibrium for the gasdynamical model of carrier transport in semiconductors”, Sibirsk. Mat. Zh., 41:4 (2000), 744–757; Siberian Math. J., 41:4 (2000), 614–625
A. M. Blokhin, A. S. Dushmanova, “Asymptotic stability of the equilibrium state for a simplified gas dynamic model of charge transport in semiconductors”, Sib. Zh. Ind. Mat., 2:2 (1999), 15–23
1998
7.
A. M. Blokhin, A. S. Dushmanova, “Investigation of the stability of the equilibrium state for a gas dynamic model of charge transport in semiconductors”, Sib. Zh. Ind. Mat., 1:1 (1998), 41–56