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:

• Physical dynamics of quasi-particles in nonlinear wave equations (with Ivan Christov), Phys. Lett. A, (2007) DOI, Also: arXiv:nlin/0612005v3
• On the Evolution of Localized Wave Packets governed by a Dissipative Wave Equation, Wave Motion, (2007) DOI.
• Cumulative nonlinear effects in acoustic wave propagation (with Ivan Christov and P.M. Jordan), Computer Modeling in Engineering & Science (CMES), 17/1 (2007), pp. 47-54. DOI.
• Maxwell-Lorentz Electrodynamics as Manifestation of the Dynamics of a Viscoelastic Metacontinuum, Math. Comp. Simulation, 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. Simulation, 69 (2005), 514-525. DOI.
• Localized Waves for the Regularized Long Wave Equation via a Galerkin Spectral Method (with M.A. Christou), Math. Comp. Simulation. 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.