05.13.16 (Application of Computers and Mathematical Models in Science)
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Main publications:
K. G. Garaev,
V. A. Ovchinnikov,
N. G. Bilchenko, Invariantnye variatsionnye zadachi
laminarnogo pogranichnogo sloya
pri razlichnykh rezhimakh techeniya, Monografiya, Izd-vo Kazanskogo gos. tekhnicheskogo un-ta, Kazan, 2003, 123 ñ.
N. G. Bilchenko, “Vychislitelnye eksperimenty v zadachakh optimalnogo upravleniya teplomassoobmenom na pronitsaemykh poverkhnostyakh pri giperzvukovykh rezhimakh poleta”, Vestnik Voronezhskogo Gosudarstvennogo Universiteta.
Seriya: Fizika i matematika, 2015, № 1, 83–94
N. G. Bilchenko, “Vychislitelnye eksperimenty v zadachakh optimalnogo upravleniya teplomassoobmenom na pronitsaemykh poverkhnostyakh tel vrascheniya pri giperzvukovykh rezhimakh poleta”, Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya: Sistemnyi analiz i informatsionnye tekhnologii, 2015, № 1, 5–8
N. G. Bilchenko, “Vychislitelnye eksperimenty v zadachakh optimalnogo upravleniya teplomassoobmenom na pronitsaemykh poverkhnostyakh pri giperzvukovykh rezhimakh poleta: sravnitelnyi analiz primeneniya “prostykh” zakonov vduva”, Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya: Fizika i matematika, 2015, № 1, 95–102
N. G. Bil'chenko, K. G. Garaev, V. A. Ovchinnikov, “Symmetry group and conservation laws in the problem of the optimal control of a laminar boundary layer of an unbalanced-dissociating gas”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 11, 11–19; Russian Math. (Iz. VUZ), 43:11 (1999), 9–17
1997
2.
N. G. Bil'chenko, V. A. Ovchinnikov, “On a Lie group that admits a nonlinear system of partial differential equations of parabolic type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 1, 69–74; Russian Math. (Iz. VUZ), 41:1 (1997), 66–71
1993
3.
N. G. Bil'chenko, K. G. Garaev, “On the existence of the first integral in an optimal problem with distributed parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 12, 31–34; Russian Math. (Iz. VUZ), 37:12 (1993), 30–33
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