MATHEMATICS DEPARTMENT
University of Louisiana at Lafayette
[Regular faculty page]
[Mathematics home]
Christo I. Christov
Professor
SLEMCO Endowed Professor of Sciences
Contact:
Office: 429 Maxim Doucet
Phone: 337-482-5273
E-mail: christov@louisiana.edu
Home page: http://www.ucs.louisiana.edu/~cic6380/
Degrees:
D. Sc. (Habilitation) 1987 Bulgarian Academy of Sciences
Ph. D. 1980 Russian Academy of Sciences
M.S. with B.S. 1973 University of Sofia, Bulgaria
Statement:
My research interests are in Applied Mathematics and Mathematical Physics: operator-splitting methods for Navier-Stokes and higher-order diffusion equations; implicit
schemes for generalized wave equations and nonlinear evolution equations; spectral methods; method of variational imbedding for inverse problems; nonlinear dynamical systems; solitons; dissipative structures; method of random point approximation; nonlinear acoustics; material invariant electrodynamics; unified field theory.
Selected research publications:
-
Beat wave interferometry for measuring relative motion,
J. Opt. Soc. Am. A , 26 (2009), 2292-2294.
DOI.
-
Enhancement of transport from drops by steady and modulated electric fields (with Homsy G.M.)
Physics of Fluids, 21 (2009), 083102
DOI.
-
The Concept of a Quasi-particle and the Non-probabilistic
Interpretation of Wave Mechanics,
Math.Comp.Simulat. 80 (2009), 91-101.
DOI.
-
Galerkin technique based on beam functions in application to the parametric instability of thermal convection in a vertical slot, (with Papanicolaou N. C.and Homsy G. M.,) IJNMF, 59 (2009) 945--967. DOI
- On Frame Indifferent Formulation of the Maxwell-Cattaneo Model of Finite-Speed Heat Conduction, Mech. Res. Commun. 36 (2009), 481-486. DOI
-
Physical dynamics of quasi-particles in nonlinear
wave equations (with Ivan Christov), Phys. Lett. A, 372 (2008), pp.841-848. DOI,
Also:
arXiv:nlin/0612005v3
-
On the Evolution of Localized Wave Packets governed by a Dissipative Wave
Equation, Wave Motion, (2007) DOI.
-
Maxwell-Lorentz Electrodynamics as Manifestation of the Dynamics of a Viscoelastic Metacontinuum,
Math. Comp. Simulat., 74 (2007), 83-103.
DOI.
-
Nonlinear acoustic propagation in homentropic perfect gases:
A numerical study (with Ivan Christov and P.M. Jordan), Phys. Lett. A, 353, 2006,
273-280. DOI.
-
On the material invariant formulation of Maxwell's displacement current, Foundations of Physics,
36/11 (2006), 1701-1717.
DOI.
-
An operator splitting scheme for the stream-function formulation of unsteady Navier-Stokes equations
(with X.-H. Tang), Int. J. Num. Methods of Fluids, 53/3 (2006), 417 -
442. DOI.
-
Strong Coupling of Schrodinger Equations: Conservative Scheme Approach (with W.J. Sonnier),
Math. Comp. Simulat., 69 (2005), 514-525.
DOI.
-
Localized Waves for the Regularized Long Wave Equation via a Galerkin Spectral Method (with M.A. Christou),
Math. Comp. Simulat.. 69 (2005), 257-268.
DOI.
-
Novel Numerical Approach To Solitary-Wave Solutions
Identification of Boussinesq and Korteweg-De Vries Equations (with T.T. Marinov and R.S. Marinova),
Int. J Bifur. Chaos, 15 (2005), 557-565.
DOI.
-
Heat Conduction Paradox Involving Second Sound Propagation in Moving Media (with P.M. Jordan),
Physical Review Letters, 94 (2005), 154301. DOI.
-
A Fully Coupled Solver for Incompressible Navier-Stokes Equations
using Operator Splitting (with R.S. Marinova and T.T. Marinov),
International Journal of Computational Fluid Dynamics, 17 (2003), 371-385.
DOI.
-
Dissipative Quasi-Particles: The Generalized Wave Equation Approach,
Int. Journal Bifur. Chaos, 12 (2002), 2435-2444.
-
Numerical Scheme for Swift-Hohenberg Equation with Strict Implementation of Lyapunov Functional (with J. Pontes),
Mathematical and Computer Modelling, 35 (2002), 87-99.
DOI.
- An Energy-Consistent Galilean-Invariant Dispersive Shallow-Water Model,
Wave Motion, 34 (2001),
161-174.
DOI.
- Nonlinear dynamics of two dimensional
convection in a vertically stratified slot with and without gravity
modulation (with G. M. Homsy), J. Fluid Mech., 430 (2001),
335--360.
DOI.
- Identification of Heat-Conduction Coefficient via Method of Variational
Imbedding (with Marinov T.), Mathematical and Computer Modelling, 27 (1998) 109-116.
DOI.
- Dissipative Solitons (with Velarde M.G.), Physica D, 86
(1995), 323-347. DOI.
-
Spatio-Temporal Chaos and Intermittency in a 1-Dimensional Energy-Conserving Coupled Maps Lattice (with Nicolis G.),
Physica A, 228 (1995), 326-342.
DOI.
- An implicit difference scheme for the
long-time evolution of localized solutions of a generalized
Boussinesq system (with Maugin G.A.), J. Comp. Phys., 116 (1995),
39-51.
DOI.
- Inelastic Interaction of Boussinesq
Solitons (with Velarde M.G.), Int. J. Bifurc. and Chaos, 4 (1994),
1095-1112.
DOI.
- Inelasticity of Soliton Collisions
in System of Coupled NLS Equations (with Dost S., Maugin G.A.), Physica Scripta, 50 (1994), 449-454.
DOI.
- Nonlinear evolution equations for thin liquid films with
insoluble surfactants (with De Wit A., Gallez D.),
Phys. Fluids, 6 (1994), 3256-3266.
DOI
- On localized solutions of a model equation
governing Benard-Marangoni Convection (with Velarde M.G.), Appl. Math.
Modelling, 17 (1993), 311-320.
-
A Fourier- series method for solving soliton problems (with Bekyarov K.L.),
SIAM J. Sci. Stat. Comp., 11 (1990), 631-647
DOI.
- Numerical investigation of the steady viscous
flow past a stationary deformable bubble (with Volkov P.K.),
J. Fluid Mech., 158 (1985), 341-364.
- Stochastic functional expansion for random
media with perfectly disordered constitution (with Markov K.Z.),
SIAM J. Appl. Math., 45 (1985), 289-311.
DOI.
- A complete orthonormal sequence of functions in
L2(-∞,∞) space, SIAM J. Appl. Math.,
42 (1982), 1337-1344.
DOI.
Last updated 11 November 2009.
comments: mathweb@louisiana.edu
© Copyright 2009 by The
University of Louisiana at Lafayette All rights reserved
Mathematics Department University of Louisiana at Lafayette 217
Maxim Doucet Hall P.O. Box 41010 Lafayette, LA 70504-1010 USA
337-482-6702 math@louisiana.edu