05.13.01 (System analysis, the control and processing of information (separated by fields))
Birth date:
17.08.1951
E-mail:
Keywords:
Asymptotle Methods of Solutions. Exact Solutions of Quasilinear Partial Differential Equations. Regularization of the Hamilton--Jacobi--Bellman equation. Optimal control problems.Integration of the Harry Dym and Korteweg--de Vries Equations
in Parametric Form
UDC:
517.9, 517.956.4, 517.39
Subject:
Asymptotle Methods of Solutions. Exact Solutions of Quasilinear Partial Differential Equations. Regularization of the Hamilton--Jacobi--Bellman equation. Optimal control problems.
Main publications:
V. G. Danilov, V. P. Maslov, K. A. Volosov, Mathematical modelling of heat and mass transfer processes, Math. Appl., 348, Kluwer Acad. Publ., Dordrecht, 1995, x+316 pp.
K. A. Volosov, “Construction of solutions of quasilinear parabolic equations in parametric form”, Differ. Equ., 43:4 (2007), 507–512
K. A. Volosov, “Implicit formulas for exact solutions of quasilinear partial differential equations”, Dokl. Math., 77:1 (2008), 5–8
K. A. Volosov, A. K. Volosova, “Constraction exact solutions of PDE in parametric form”, International Journal of Mathematics and Mathematical Sciences, 2009, Article ID 319268, 17 pp. ; K. A. Volosov, http://www.hindawi.com/journals/ijmms/2009/319269.html, Journal of Applied and Industrial Mathematics, 3, no. 4, 2009
K. A. Volosov, N. K. Volosova, A. K. Volosova, Integration of the Harry Dym and Korteweg–de Vries Equations
in Parametric Form, DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES http://www.math.spbu.ru/diffjournal, 2017, 22 с.
N. K. Volosova, A. K. Volosova, K. A. Volosov, S. P. Vakulenko, “Graphs for the replicator equations and "tragedy of common resource"”, Mat. Model., 31:8 (2019), 101–119; Math. Models Comput. Simul., 12:2 (2020), 246–256
E. K. Vdovina, L. V. Pugina, K. A. Volosov, “The models of the pulsating process of blood clotting”, Mat. Model., 26:12 (2014), 14–32; Math. Models Comput. Simul., 7:4 (2015), 360–373
2013
3.
E. K. Vdovina, K. A. Volosov, “The model of the spiral waves in the blood coagulation”, Mat. Model., 25:3 (2013), 14–24; Math. Models Comput. Simul., 5:5 (2013), 456–463
K. A. Volosov, “Решение полулинейных параболических уравнений в параметрической форме в трехмерном случае. Приложение к теории автоволн и спиральных волн”, Matem. Mod. Kraev. Zadachi, 3 (2007), 61–63
2006
7.
K. A. Volosov, “Eigenfunctions of structures described by the “shallow water” model in a plane”, Fundam. Prikl. Mat., 12:6 (2006), 17–32; J. Math. Sci., 151:1 (2008), 2639–2650
2005
8.
K. A. Volosov, “Dressing of Solutions for Some Nonintegrable Problems and Invariant Properties of the Ansatz of the Hirota Method”, Differ. Uravn., 41:11 (2005), 1572–1575; Differ. Equ., 41:11 (2005), 1647–1651
2002
9.
K. A. Volosov, “A Property of the Ansatz of Hirota's Method for Quasilinear Parabolic Equations”, Mat. Zametki, 71:3 (2002), 373–389; Math. Notes, 71:3 (2002), 339–354
K. A. Volosov, L. B. Arkhipenko, “Problem of mathematical modelling of silicon oxidation”, Mat. Model., 6:9 (1994), 68–78
11.
K. A. Volosov, “Transformation of approximate solutions of linear parabolic equations into asymptotic solutions of quasilinear parabolic equations”, Mat. Zametki, 56:6 (1994), 122–126; Math. Notes, 56:6 (1994), 1295–1299
K. A. Volosov, V. G. Danilov, A. M. Loginov, “Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations”, TMF, 101:2 (1994), 189–199; Theoret. and Math. Phys., 101:2 (1994), 1289–1295
K. A. Volosov, V. G. Danilov, “A model of thermal silicon oxidation”, Mat. Model., 1:11 (1989), 58–67
1988
14.
K. A. Volosov, V. G. Danilov, V. P. Maslov, “Structure of a weak discontinuity of solutions of quasilinear degenerate parabolic equations”, Mat. Zametki, 43:6 (1988), 829–839; Math. Notes, 43:6 (1988), 479–485
K. A. Volosov, V. G. Danilov, V. P. Maslov, “Burning wave asymptotics in a nonlinear inhomogeneous medium with
slowly varying properties”, Dokl. Akad. Nauk SSSR, 290:5 (1986), 1089–1094
16.
K. A. Volosov, V. G. Danilov, N. A. Kolobov, V. P. Maslov, “Solutions of the type of localized solitary waves for quasilinear
parabolic equations of diffusion with chemical reactions”, Dokl. Akad. Nauk SSSR, 287:6 (1986), 1290–1294
K. A. Volosov, I. A. Fedotov, “Asymptotic form of solution of quasilinear parabolic equation in neighbourhood of front”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1249–1253; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 147–150
K. A. Volosov, K. B. Pavlov, A. S. Romanov, I. A. Fedotov, “Metastable states in transport processes described by a quasilinear parabolic equation”, Prikl. Mekh. Tekh. Fiz., 23:5 (1982), 89–92; J. Appl. Mech. Tech. Phys., 23:5 (1982), 672–675
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