My previous papers were dedicated to the investigation of Liouville equation: existence theorems, asymptotics, stability, qualitative properties. The large cycle of investigations has been realized on the investigation of Vlasov equation (Vlasovndash;Maxwell and Vlasov–Poisson systems). In the last time the scope of my interests lies in the field of kinetic equations and its applications to the semiconductor problems. In this direction were obtained existence theorems for the boundary value problems described by semilinear nonlocal elliptic systems.
Biography
Graduated from Department of Mechanics of Irkutsk Politechnik Institute in 1983. Ph. D. thesis was defended in 1989. A list of my works contains 50 titles.
Expert INTAS Programs. NATO Grant - 1995-1996 (with P.Degond, Toulouse University, France). INTAS Grant 2000-15, co-cordinator of the project from Russia (with P.Markowich, President of W.Pauli Institute, Vienna, Austria). Grant of Nacional Scientific Foundation of Colombia: 2002-2005, cordinator of the project (with M.Zuluaga, National University of Colombia). Invited: Toulouse University, France (P.Degond): 1995, 1996, 2000. Politechnik Cachan Institute, Paris, France(C.Bardos): 1993). Institute of Mathematics, Oberwolfach, Germany (J.Batt and C.Cerchinyani): 1994, 1999. Institute of Mathematics, Munchen, Germany (J.Batt): 2000. Institute of Mathematical Physics named by E.Shredinger, Vienna, Austria (P.Markowich): 2000.
University of Victoria, Victoria, Canada (R.Illner): 2008. Institute of Applied Mathematics, Beijing, China: (2009). Technion, Haifa, Israel (G.Volansky): 2009.
Institute of Henry Poincare, Paris, France (C.Villani): 2014.
City University of Hong Kong, Hong Kong (T.Yang): 2014, 2015.
Main publications:
Markov Yu., Rudykh G., Sidorov N., Sinitsyn A., Tolstonogov D. Steady-state solutions of the Vlasov–Maxwell system and their stability // Acta. Appl. Math., 1992, 28(3), 253–293.
N. Sidorov, D. Sidorov, A. Sinitsyn, Toward General Theory of Differential-Operator and Kinetic Models, v. 97, World Scientific Series on Nonlinear Science Series A, 1st, eds. Ed.. Leon O Chua (University of California at Berkeley), World Scientific, Singapore, 2020 , 496 pp.
N. A. Sidorov, A. V. Sinitsyn, “Analysis of bifurcation points and nontrivial branches of solutions to the stationary Vlasov–Maxwell system”, Math. Notes, 62:2 (1997), 223–243
3.
N. A. Sidorov, A. V. Sinitsyn, “On the branching of solutions of the Vlasov–Maxwell system”, Siberian Math. J., 37:6 (1996), 1199–1211
4.
E. I. Semenov, A. V. Sinitsyn, “Mathematical model of magnetic insulation vacuum diode and its exact solutions”, The Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010), 78–91
5.
E.M.Rojas, N.A.Sidorov, A.V.Sinitsyn, “A Boundary Value Problem for Noninsulated Magnetic Regime of a Vacuum Diode”, Symmetry, 12:4 (2020), 617
A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Integrable models of magnetic insulation and their exact radially symmetric solutions”, The Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 45–56
7.
A. A. Kosov, A. V. Sinitsyn, “Construction of the first integrals for a special class of nonlinear systems”, The Bulletin of Irkutsk State University. Series Mathematics, 5:1 (2012), 57–69
8.
A. V. Sinitsyn, “Positive solutions for nonlinear singular boundary value problem of magnetic insulation”, Matem. Mod., 13:5 (2001), 37–52
9.
N. A. Sidorov, A. V. Sinitsyn, “Nontrivial solutions and bifurcation points of the Vlasov–Maxwell system”, Dokl. Akad. Nauk, 349:1 (1996), 26–28
10.
G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn, “Bifurcating stationary solutions of a two-particle Vlasov-Maxwell system”, Dokl. Math., 34:2 (1989), 122–123
11.
Yu. A. Markov, G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn, “Existence of stationary solutions of Vlasov–Maxwell equations and some of their exact solutions”, Matem. Mod., 1:6 (1989), 95–107
12.
G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn, “Stationary solutions of a system of Vlasov–Maxwell equations”, Dokl. Math., 33:9 (1988), 673–674
13.
A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Constructing solutions to systems of nonlinear equations for magnetic insulation modelling”, J. Appl. Industr. Math., 9:2 (2015), 227–240
14.
M. M. Higuera, A. V. Sinitsyn, “Existence of lower and upper solutions in reverse order with respect to a variable in a model of acidogenesis to anaerobic digestion”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:2 (2015), 55–68;
E. I. Semenov, A. V. Sinitsyn, “On a family of steady-state distributions of the Vlasov–Maxwell–Fokker–Planck system”, The Bulletin of Irkutsk State University. Series Mathematics, 4:3 (2011), 124–131
16.
N. A. Sidorov, A. V. Sinitsyn, “Index theory in the bifurcation problem of solutions of the Vlasov–Maxwell system”, Matem. Mod., 11:9 (1999), 83–100
17.
Yu. A. Markov, G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn, “Some families of solutions of the Vlasov–Maxwell system and their stability”, Matem. Mod., 2:12 (1990), 88–101
18.
E. I. Semenov, A. V. Sinitsyn, “New family of stationary distributions of the two-particle relativistic equations of Vlasov–Maxwell–Fokker–Planck”, The Bulletin of Irkutsk State University. Series Mathematics, 5:2 (2012), 18–30
19.
G. A. Rudykh, A. V. Sinitsyn, “Solvability of nonlinear boundary-value problems arising in modeling plasma diffusion across a magnetic field and its equilibrium configurations”, Math. Notes, 77:2 (2005), 199–212
20.
G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn, “Nonstationary solutions of the two-particle Vlasov–Maxwell system”, Dokl. Math., 34:8 (1989), 700–701
21.
M. V. Falaleev, O. A. Romanova, A. V. Sinitsyn, A. I. Dreglea, R. Yu. Leont'ev, D. N. Sidorov, “On the occasion of the 80th birthday of professor N. A. Sidorov”, The Bulletin of Irkutsk State University. Series Mathematics, 32 (2020), 134–143
22.
N. A. Sidorov, D. N. Sidorov, A. V. Sinitsyn, “Review of monograph “Toward General Theory of Differential-Operator and Kinetic Models””, The Bulletin of Irkutsk State University. Series Mathematics, 32 (2020), 118–123
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