A. Ghazaryan, Yu. Latushkin, and S. Schecter. Stability of
traveling waves for degenerate systems of
reaction-diffusion equations, preprint.
Accepted. Indiana University Mathematics Journal.
A. Ghazaryan. On the convective nature of instability of a front
undergoing a supercritical Turing bifurcation, preprint. Accepted.
Journal of Mathematics and Computers in Simulation: "On Nonlinear
Waves: Computation and Theory." Available
online since June 18, 2009.
M.
Beck, A. Ghazaryan, B.
Sandstede. Nonlinear convective stability of traveling fronts near
Turing
and Hopf instabilities, preprint, Journal of
Differential Equations 246 (2009) 4371-4390.
A. Ghazaryan, Chris
K.R.T. Jones. On the stability of high Lewis
number combustion fronts, preprint,
Journal of Discrete and
Continuous Dynamical Systems 24, number 3, (2009) 809-826.
A. Ghazaryan. Nonlinear stability of high Lewis number combustion
fronts, pdf,
Indiana Univ. Math. J. 58 No. 1 (2009), 181–212
A. Ghazaryan, P. Gordon.
The KPP type flame fronts in porous
media. Nonlinearity 21 (2008) 973-992. link to
the paper
A. Ghazaryan, P. Gordon, and C.K.R.T.
Jones. Traveling waves in
porous media combustion: uniqueness of waves for
small thermal diffusivity, Journal of Dynamics and Differential
Equations 19 (2007) 951-966, link
to the paper at Springer, link to the
video of the related talk given at MSRI in January 2007.
A. Ghazaryan, and B. Sandstede. Nonlinear convective instability
of Turing-unstable fronts near onset: A case study, pdf,SIAM Journal on Applied Dynamical Systems 6 (2007) 319-347.
A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the
structure of the scattering matrix of a differential operator of
arbitrary order with coefficients summable on the entire axis. (in
Russian) Doklady Akad. Nauk Armenii (96) 1, (1996).
A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the
inverse scattering problem for a differential operator of arbitrary
order with coefficients summable on the entire axis. II. J.
Contemp. Math. Analysis. 30 (1995), no. 1,
33-55.
A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the
inverse scattering problem for higher-order differential operators with
summable coefficients. I. English translation in J.
Contemp. Math. Analysis. 29 (1994), no. 5, 42-63.
S. E. Bekhiri, A. R. Kazaryan (Ghazaryan), and I. G.
Khachatryan. On the reconstruction of a regular two-term differential
operator of arbitrary even order from the spectrum. (in Russian).
Yerevan State University Press,
Uchenye Zapiski 2 (1994) 181, 8-22.
S. E. Bekhiri, A. R. Kazaryan (Ghazaryan) and I. G. Khachatryan.
Asymptotic formula for eigenvalues of a regular binomial differential
operator of arbitrary even order. (in Russian).
Yerevan State
University Press, Uchenye Zapiski 1 (1994), 3-18.