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Publications Influence

Heat conduction paradox involving second-sound propagation in moving media.

- C. I. Christov, P. Jordan
- Physics, Medicine
- Physical review letters
- 22 April 2005

In this Letter, we revisit the Maxwell-Cattaneo law of finite-speed heat conduction. We point out that the usual form of this law, which involves a partial time derivative, leads to a paradoxical… Expand

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Thermodynamic Modeling of Aqueous Aluminum Chemistry and Solid-Liquid Equilibria to High Solution Concentration and Temperature. I. The Acidic H-Al-Na-K-Cl-H2O System from 0 to 100 °C

- C. I. Christov, A. Dickson, N. Møller
- Chemistry
- 9 October 2007

Abstract
In this paper, we describe the development of a thermodynamic model that calculates solute/solvent activities and solid-liquid equilibria in the acidic aluminum system, H-Al3+-Na-K-Cl-H2O,… Expand

32 3

A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves

- P. Jordan, C. I. Christov
- Mathematics
- 1 March 2005

30 1

Hidden in Plain View: The Material Invariance of Maxwell-Hertz-Lorentz Electrodynamics

- C. I. Christov
- Physics
- 1 April 2006

Maxwell accounted for the apparent elastic behavior of the electromagnetic field through augmenting Ampere’s law by the so-called displacement current much in the same way that he treated the… Expand

3 1- PDF

Solitary Waves with Galilean Invariance in Dispersive Shallow-Water Flows

- C. I. Christov
- Physics
- 2001

The present work deals with a recently derived nonlinear dispersive system for shallow-water flows. Unlike the classical Boussinesq models, the new one possesses Galilean invariance. It is… Expand

1 1

Physical dynamics of quasi-particles in nonlinear wave equations

- I. Christov, C. I. Christov
- Physics
- 4 December 2006

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-Gordon equation,… Expand

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DISCRETE OUT OF CONTINUOUS: DYNAMICS OF PHASE PATTERNS IN CONTINUA

- C. I. Christov
- Physics
- 1996

A new paradigm is discussed in which the discrete facet of physical phenomenology is related to the existence of localized wave solutions (solitons) of a underlying metacontinuum (unified field,… Expand

15- PDF

On the nonlinear continuum mechanics of space and the notion of luminiferous medium

- C. I. Christov
- Physics
- 26 April 2008

Abstract We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwell’s equations as corollaries. Through judicious distinction between the referential… Expand

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Theoretical and Numerical Aspects for Global Existence and Blow Up for the Solutions to Boussinesq Paradigm Equation

- N. Kutev, N. Kolkovska, M. Dimova, C. I. Christov
- Mathematics
- 29 November 2011

In this paper we prove that the global existence and the blow up of the weak solutions to Boussinesq Paradigm Equation (BPE) depend not only on the initial energy but also on the profiles of the… Expand

10

Comment on “On a class of exact solutions of the equations of motion of a second grade fluid” by C. Fetecău and J. Zierep (Acta Mech. 150, 135–138, 2001)

- I. Christov, C. I. Christov
- Mathematics, Physics
- 10 March 2010

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. These authors used… Expand

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