2001
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P. V.
Elyutin, A.
V. Buryak, V. V. Gubernov, R.A. Sammut, I. N. Towers,
"Interaction of
two dimensional Bose-Einstein solitons: chaos and energy exchange",
Phys. Rev. E, 64,
016607 (2001).
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2002
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V. Gubernov,
"Chaotic dynamics
of a single two-level atom in the field of plane standing
electromagnetic wave",
Phys. Rev. A, 66,
013408 (2002).
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V. Gubernov, G. N.
Mercer, H. S.
Sidhu, and R. O. Weber,
"On the Evans
function
calculation of the stability of combustion waves",
Australia Math.
Soc. Gazette,
29, 155-163 (2002).
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2003
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V.
Gubernov, G. N. Mercer,
H. S. Sidhu, and R. O. Weber,
"Numerical methods
for the
analysis of travelling waves in reaction-diffusion equations",
ANZIAM J., 44 (E),
C271-C289
(2003).
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V. Gubernov, G. N.
Mercer, H. S.
Sidhu, and R. O. Weber,
"Evans function
stability of
combustion waves",
SIAM J. Appl.
Math., 63,
1259-1275 (2003).
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2004
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V.
Gubernov, G. N. Mercer,
H. S. Sidhu, and R. O. Weber,
"Evans function
stability of
nonadiabatic combustion waves",
Proc. R. Soc. Lond.
A 460,
1259-1275 (2004).
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2005
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V. V. Gubernov, H.
S. Sidhu and
G. N. Mercer,
"The effect of
ambient
temperature on the propagation of nonadiabatic combustion waves'',
J. Math. Chem., 37,
149-162
(2005).
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J. S. Kim and V. V.
Gubernov,
"On the Fast-Time
Cellular
Instabilities in the Linan's Diffusion Flame Regime",
Comb. Sci. Tech.,
177, 991-1022
(2005).
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2006
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V. V.
Gubernov, H. S.
Sidhu and G. N. Mercer,
"Determining the
Bogdanov-Takens bifurcation condition in nonadiabatic
combustion
waves'',
Int. J. Bif. and
Chaos, 16,
749-755 (2006).
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V. V. Gubernov, H.
S. Sidhu and
G. N. Mercer,
"Generalized
Compound Matrix
Method'',
Appl. Math. Lett.,
19, 458-463
(2006).
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download |
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V. V. Gubernov, H.
S. Sidhu, G.
N. Mercer,
"Combustion waves
in a model
with chain branching reaction'',
J. Math. Chem., 39,
1-14 (2006).
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download |
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J. S. Kim and V. V.
Gubernov,
"On the fast-time
oscillatory
instabilities of Linan's diffusion-flame regime'',
Comb. Theory Mod.,
10,
749-747 (2006).
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2007
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A. V. Kolobov, V.
V. Gubernov, A. A. Polezhaev,
"Volni
fisherovskogo tipa v modeli rosta invasivnoi opuholi'', In Russian
Math.
Mod., 19(6), 31-42 (2007).
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download |
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A. V. Kolobov, V.
V. Gubernov, and A. A. Polezhaev
"Autowaves in
model of avascular tumor growth'',
arxiv/0705.2747.
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V. V. Gubernov and
J.S. Kim
"A Detailed
Spectral Map for the Fast-Time Instability in
Linan's Diffusion-Flame Regime''
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H. S. Sidhu, V. V.
Gubernov, and G. N. Mercer,
"Analyzing
Combustion Waves in a Model with Chain Branching'',
ANZIAM E, 49,
C100-115 (2007).
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2008
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V. V. Gubernov, H.
S. Sidhu, G. N. Mercer,
"Combustion waves
in a model with chain branching reaction and their stability",
Comb. Theory Mod.,
12, 407 - 431 (2008).
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download |
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V. V. Gubernov, H.
S. Sidhu, G. N. Mercer, A.V. Kolobov, and A.A. Polezhaev,
"The effect of the
Lewis number variation on combustion waves in a model with
chain-branching reaction", J. Math.
Chem., 44, 816-830 (2008).
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download |
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A. V. Kolobov, V.
V. Gubernov, and A. A. Polezhaev,
"Autowaves in a
model of invasive tumor growth'',
Biophysics, 54,
232-237 (2008).
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2009
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V. V. Gubernov, H.
S. Sidhu, G. N. Mercer, A.V. Kolobov, and A.A. Polezhaev,
"Pulsating
instabilities in a model with chain-branching reaction'',
Int. J. Bif.
Chaos, 19,
873-887 (2009).
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download |
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H. S. Sidhu, V. V.
Gubernov, A. V. Kolobov, A. A. Polezhaev, G. N. Mercer and J. J.
Sharples,
"Oscillatory
combustion waves in a chain branching model'',
ANZIAM J., 50,
C1017-C1032 (2009).
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Sidhu, Harvinder
S.; Gubernov, V.V.; Mercer, Geoff; Kolobov, A.V.; Polezhaev, A.A.; and
Sharples, J.J.
"Travelling Waves
in a Two-Step Chain Branching Model with Heat Loss,"
Chemical Product
and Process
Modeling 2009: Vol. 4 : Iss. 3, Article 9.
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V. V. Gubernov, A.
V. Kolobov, A. A. Polezhaev,
Pulsating regimes
of flames propagation in a model with chain-branching reaction
Computer Research
and Modeling,
2009, vol. 1, no. 3, pp. 273–280.
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A. V. Kolobov., V.
V. Gubernov, A. A. Polezhaev and G. I. Solyanyk
"Role of
transport processes in tumour growth modelling",
In Dynamical models in cells and subcell nanostructures/ Editors G.Y.
Risnichenko, A. B. Rubin - Ě.-Izhevsk: center for Regular and chaotic
dynamics, Institute of computer research, 2009 - p. 448
ISBN: 978-5-93972-783-9
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Kolobov A.V.,
Anashkina A. A., Gubernov V.V., Polezhaev A.A.,
"Mathematical
model
of tumour growth with migration and proliferation dichotomy", Computer Research
and Modeling, 2009, vol. 1, no. 4, pp. 415–422 (Russian).
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2010
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Gubernov V.V., Kolobov A.V.,
Polezhaev A.A., Sidhu H.S., Mercer G.N., "Period doubling
and chaotic
transient in a model of chain-
branching combustion wave propagation", Proc. R. Soc. A, 2010,
vol. 466, no. 2121, pp. 2747-2769
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2011
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V. V. Gubernov, A. V. Kolobov, A. A. Polezhaev and H. S. Sidhu, "Pulsating instabilities in the Zeldovich–Linan model", Journal of Mathematical Chemistry, 2011, 49, 1054-1070
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download
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V. V. Gubernov, A. V. Kolobov, A. A. Polezhaev and H. S. Sidhu, "Oscillatory thermal-diffusive instability of combustion waves in a model with chain-branching reaction and heat loss", Combustion Theory and Modelling, 2011, 15, 385-407
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A.V. Kolobov, V.V. Gubernov and A.A. Polezhaev, "Autowaves in the Model of Infiltrative Tumour Growth with Migration-Proliferation Dichotomy", Math. Model. Nat. Phenom., 2011, 6, 27-38
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Sharples, J.J., Sidhu, H.S., Gubernov, V.V. , Analysing instability of combustion waves using the Evans function, ANZIAM J., 52, C773-791, 2011.
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2012
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J.J.
Sharples, H.S. Sidhu, A.C. McIntosh, J. Brindley, V.V. Gubernov,
Analysis of combustion waves arising in the presence of a
competitive endothermic reaction, IMA J. Appl. Math., 2012, 77, 18-31
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V. V. Gubernov, A. V. Kolobov, A. A. Polezhaev and H. S. Sidhu, "Stability of combustion waves in the Zeldovich-Linan model", Combustion and Flame, 2012, 159, 1185–1196
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V.V. Gubernov, J.J. Sharples, H.S. Sidhu, A.C. McIntosh, J. Brindley, "Properties of combustion waves in the model with competitive exo- and endothermic reactions", J. Math. Chem., 2012, 50, 2130-2140.
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2013
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V.V. Gubernov, A.V. Kolobov, A.A. Polezhaev, H.S. Sidhu, "Analysing the stability of premixed rich hydrogen–air flame with the use of two-step models", Combustion and Flame, 2013, 160, 1060-1069
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Towers, I.N., Gubernov, V.V., Kolobov, A.V.,
Polezhaev, A.A., Sidhu, H.S. ``Bistability of flame propagation in a model
with competing exothermic reactions'' (2013) Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences, 469 (2158),
art. no. 20130315.
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2014
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Gubernov, V.V.; Kurdyumov, V.N.; Kolobov, A.V, "Flame propagation in a composite solid energetic material", Combustion and Flame, 2014, 161, 2209-2214
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V.V. Gubernov, H. S. Sidhu, A.V. Kolobov, A.A. Polezhaev, "Pulsating Behaviour in Combustion Waves", in: Wave Propagation, Edited by Prof. Luiz Rocha and Dr. Matues Gomes, AcademyPublish, 2014, p. 407-431, ISBN: 978-1-941249-01-7
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download
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Gubernov, V.V., Kim, J.S., "The fast-time instability map of Linan’s diffusion-flame regime", Journal of Mathematical Chemistry, 2014, 53 (1), pp. 220-235.
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2015
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Vadim N. Kurdyumov, Carmen Jiménez, Vladimir V. Gubernov, Andrei V. Kolobov, "Global
stability analysis of gasless flames propagating in a cylindrical
sample of energetic material: Influence of radiative heat-losses", Combustion and Flame, 2015, 162 (5), 1996-2005.
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Gubernov, V.V., Kurdyumov, V.N., Kolobov, A.V. "Combustion waves in composite solid material of shell–core type" (2015) Combustion Theory and Modelling, 2015, 19 (4), 435-450.
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download
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Gubernov, V. V., Kolobov, A. V., Polezhaev, A. A., Sidhu, H. S.,
McIntosh, A. C., Brindley, J. "Stabilization of
combustion wave through the competitive endothermic reaction." Proc. R. Soc. A, 2015, 471 (2180), 20150293.
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Gubernov, V.V., Minaev, S.S., Babushok, V.I., Kolobov, A.V.,
"The effect of depletion of radicals on freely propagating hydrocarbon flames",
Journal of Mathematical Chemistry, 2015, 53, 2137-2154
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download
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Kolobov, A.V., Gubernov, V.V., Kuznetsov, M.B., "The
study of antitumor efficacy of evacizumab antiangiogenic therapy using a
mathematical model." Russian Journal of Numerical Analysis and Mathematical Modelling, 2015, 30, 289-297.
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Z. Huang, H. S. Sidhu, I. N. Towers, Z. Jovanoski, V. V. Gubernov, "Reaction waves in solid fuels for adiabatic competitive exothermic reactions", ANZIAM J., 2015, 56 , C148–C162.
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2016
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Korsakova, A.I., Gubernov, V.V., Kolobov, A.V., Bykov, V. , Maas, U., "Stability of rich laminar hydrogen-air flames in a model with detailed transport and kinetic mechanisms", Combustion and Flame, 2016, 163, 478–486
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Miroshnichenko, T., Gubernov, V., Maruta, K., Minaev, S., "Diffusive–thermal oscillations of rich premixed hydrogen–air flames in a microflow reactor",
Combustion Theory and Modelling, 2016, 20, 313-327
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Gubernov, V.V., Kolobov, A.V., Bykov, V., Maas, U., "Investigation of rich hydrogen-air deflagrations in models with detailed and reduced kinetic mechanisms", Combustion and Flame, 2016, 168, 32-38.
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A.I. Korsakova, V.V. Gubernov, V. Bykov, U. Maas, "The effect of Soret diffusion on stability of rich premixed hydrogen–air flames",
International Journal of Hydrogen Energy, 2016, 41, 17670-17675
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Huang, Z., Sidhu, H., Towers, I., Jovanoski, Z. and Gubernov, V., "Nonadiabatic combustion waves in a two-step competitive
exothermic-reaction model.", ANZIAM Journal, 2016, 57, 14-31
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2017 |
V. N. Kurdyumov, V. V. Gubernov, R.V. Fursenko, "Controlling of flame propagation in a composite solid energetic material: From stabilization to chaotic regimes", Combustion and Flame, 2017, 182,167-178
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V.V. Gubernov, V. N. Kudryumov, A. V. Kolobov, A. A. Polezhaev, "Propagation of combustion waves in the shell–core energetic materials with external heat losses", Proc. R. Soc. A 2017 473 20160937
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V.V. Gubernov, V. Bykov, U. Maas, "Hydrogen/air burner-stabilized flames at elevated pressures", Combustion and Flame, 2017, 185, 44-52
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Fursenko, R. V.,
Gubernov, V. V., Minaev, S. S., Kurdyumov, V. N., "One-dimensional modelling of flame propagation in solid composite fuel
with different geometrical configurations", Combustion Theory and Modelling, 2017, 21, 1-15.
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Babushok, V. I., Gubernov, V. V., Minaev, S. S., Miroshnichenko,
T. P, "Simple model of inhibition of chain-branching combustion
processes", Combustion Theory and Modelling, 2017, 1-14
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Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z., Gubernov,
V. V., "Properties of combustion waves in a model with competitive
exothermic reactions", Journal of Mathematical Chemistry, 2017, 55(5), 1187-1201
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Kuznetsov, M. B., Gubernov, V. V., Kolobov, A. V., "Influence of interstitial fluid dynamics on growth and therapy of
angiogenic tumor. Analysis by mathematical model", Biophysics, 2017, 62(1), 129-137 |
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