47 citations · 138 across the 8 of their papers we have counts for
8 papers
On mechanical waves and Doppler shifts from moving boundaries
Ivan C. Christov, C. I. Christov
We investigate the propagation of infinitesimal harmonic mechanical waves emitted from a boundary with variable velocity and arriving at a stationary observer. In the classical Dop…
Stress retardation versus stress relaxation in linear viscoelasticity
Ivan C. Christov, C. I. Christov
We present a preliminary examination of a new approach to a long-standing problem in non-Newtonian fluid mechanics. First, we summarize how a general implicit functional relation b…
Pseudolocalized Three-Dimensional Solitary Waves as Quasi-Particles
C. I. Christov
A higher-order dispersive equation is introduced as a candidate for the governing equation of a field theory. A new class of solutions of the three-dimensional field equation are c…
On the Pseudolocalized Solutions in Multi-dimension of Boussinesq Equation
Christo I. Christov
A new class of solutions of three-dimensional equations from the Boussinesq paradigm are considered. The corresponding profiles are not localized functions in the sense of the inte…
Frame Indifferent Formulation of Maxwell's Elastic Fluid and the Rational Continuum Mechanics of the Electromagnetic Field
Christo I. Christov
We show that the linearized equations of the incompressible elastic medium admit a `Maxwell form' in which the shear component of the stress vector plays the role of the electric f…
Comment on "On a class of exact solutions of the equations of motion of a second grade fluid" by C. Fetecau and J. Zierep (Acta Mech. 150, 135-138, 2001)
Ivan C. Christov, C. I. Christov
In a 2001 article, Fetecau and Zierep [1] considered Stokes' first problem for a second grade (SG) fluid, unaware that it had already been solved (correctly) by Puri [2] in 1984. T…
On the Nonlinear Continuum Mechanics of Space and the Notion of Luminiferous Medium
C. I. Christov
We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwell's equations as corollaries. Through judicious distinction between the r…
Physical dynamics of quasi-particles in nonlinear wave equations
Ivan Christov, C. I. Christov
By treating the centers of solitons as point particles and studying their discrete dynamics, we demonstrate a new approach to the quantization of the soliton solutions of the sine-…