SELF Transactions, vol.1

Publications in other editions

SELF TRANSACTIONS, VOLUME 1 (ELECTRONIC VERSION)

The printed version was published in 1994 in Eney Publishing, Kharkov, Ukraine

ISBN   5 - 7700 - 0403 - 7

CONTENTS

S.B. Karavashkin.   THE MATTER AS PHYSICAL REALITY

First published in SELF Transactions, vol.1 (1994), pp.5-14

The author considers the problem of ether being a subject of discussions for many generations of scientists. He proves it to be the physical reality of more thin order transmitting the interactions that cannot be associated with the concept of an abstract field of forces possessing an action but not possessing the physical properties, because of the excessive geometrisation of this concept.

Keywords: Philosophy of science; Physical ether; Field theory

Classification by PASC 2001: 01.70.+w; 02.30.Em; 03.50.-z; 03.50.De

S.B. Karavashkin. ON LONGITUDINAL ELECTROMAGNETIC WAVES. CHAPTER 1. LIFTING THE BANS

First published in SELF Transactions, vol.1 (1994), pp.15-47

This is the initial version of an introduction chapter of a monograph devoted to the theoretical and experimental proof of the longitudinal electromagnetic waves existence. This chapter proves that the known Maxwell divergence equation works correct only in stationary fields. Its form for dynamical fields is derived. Some typical inexactitudes having led the scientists to the conclusion that the energy does not propagate in the near field are shown, and the contradictions between the Ampere law and Lorenz equation for dynamical magnetic fields acting on a charge are considered as well. As the supplement to this paper, the author published the Review to the primary experiment on radiation and reception the longitudinal EM wave demonstrated by S. B. Karavashkin

 Keywords: theoretical physics, mathematical physics, wave physics, vector algebra, electromagnetic theory, dynamical potential fields.

Classification by MSC 2000: 76A02, 78A02, 78A25, 78A40

Classification by PASC 2001: 03.50.-z; 03.50.De; 41.20.Jb; 43.20.+g; 43.90.+v; 46.25.Cc; 46.40.Cd

Full text: / 15-16-17 / 18-19-20 / 21-22-23 / 24-25-26 / 27-28-29 / 30-31-32 / 33-34-35 / 36-37-38 / 39-40-41 / 42-43-44 / 45-46-47 /

Full text in doc.zip

D.P.Borycenko - Karavashkina.  ON THE CAUSE OF LIKE CHARGES BEAM SQUEEZE

First published in SELF Transactions, vol.1 (1994), pp.52-56

The dynamical instability of the beam of same-charged particles is considered. This instability is shown to be caused by the Lorentz force turning the beam inside out due to the different speeds of central and peripheral particles of a beam. It is supposed that such instability is one of the main causes, why it is impossible to squeeze the plasma flow in tokamaks.

Classification by PASC 2001: 52.30.-q; 52.35.-g; 52.35.Mw; 52.35.Py; 52.55.Fa; 52.55.Hc

Keywords: plasma physics, plasma instability, ponderomotive forces, Lorentz force, stellarators, tokamaks

Full text: / 52-56 /

S.B. Karavashkin ON THE NEW CLASS OF FUNCTIONS BEING THE SOLUTION OF THE WAVE EQUATION

First published in SELF Transactions, vol.1 (1994), pp.57-66

We will prove that not only the commonly known explicit time-delay functions but implicit functions also are the solutions of second-order wave equation. This class of implicit functions is the covering solution of the wave equation. This considerably broadens the area of wave equation application onto the modelling of wave processes in nonlinear media

Keywords: mathematical physics, wave physics, wave equation, implicit functions, modelling of nonlinear wave equations

Classification by MSC 2000: 35G20, 35J05, 35L05, 35L10

Classification by PASC 2001: 03.65.Ge, 41.20.Cv

Full text: / 57 - 61 / 62 - 66 /

S.B. Karavashkin TRANSFORMATION OF CONTINUITY EQUATION IN NONLINEAR MODELS OF POTENTIAL FLOWS OF CONTINUA

First published in SELF Transactions, vol.1 (1994), pp.67-76

We will prove the theorem of divergence of vector for deformed continua

Keywords: mathematical physics, wave physics, vector algebra, mechanics of deformed continua

Classification by MCS 2000: 76A02, 76A10, 76D33

Classification by PASC 2001: 47.10.+g, 47.15.-x, 47.20.Ky, 47.35.+i

Full text: / 67 - 68 - 69 / 70 - 71 - 72 / 73 - 74 - 75 - 76 /

S. B. Karavashkin and O.N. Karavashkina.  SOME FEATURES OF DERIVATIVE OF COMPLEX FUNCTION WITH RESPECT TO COMPLEX VARIABLE

First published in SELF Transactions, vol.1 (1994), pp.77-94

This paper, with all its outward simplicity and obvious statements, is an effort to take a look at the complex plane and operations in it from some unexpected point of view. Or rather, not so much the approach will be unexpected as the concept of complex function will be broadened up to the limits related to most general definitions.

This paper is the introducing for a monograph devoted to the new branch of theory of complex variable – non-conformal mapping. This new original method enables to connect the mathematical models to which the linear modelling is applicable with nonlinear mathematical models, i.e. with the cases when the mapping function is not analytical in a conventional Caushy – Riemann meaning but is analytical in general sense and has all the necessary criterions of the analyticity, except of the direct satisfying to the Caushy – Riemann equations. As an example, the exact analytical solution of the Bessel-type equation in the continuous range of an independent variable has been obtained.

Keywords: Theory of complex variable, Non-conformal mapping, Quasi-conformal mapping, Bessel functions

Classnames by MSC 2000: 30C62; 30C99; 30G30; 32A30.

 Full text: / 77 - 78 / 78 - 79 / 80 - 81 / 81 - 83 / 84 - 86 / 86 - 88 / 88 - 90 / 90 - 91 / 91 - 93 / 93 - 94 /

Full text in Postscript

Dyna P. Borycenko-Karavashkina.   ON CLOUDS FORMATION

First published in SELF Transactions, vol.1 (1994), pp.95 -112

TThis paper studies charge formation in the clouds due to the motion of clouds in the magnetic field of Earth and explains some important points related to formation of cyclones and anticyclones, trade winds and typhoons.

Keywords: meteorology, cloud formation, Earth’s magnetic field, cyclones, anticyclones, trade winds, typhoons.

Classnames by PASC 2001: 91.40.Dr, 92.60.Ek, 92.60.Gn, 92.60.Jq, 92.60.Mt, 92.60.Nv, 92.60.Pw

 Full text: / 95 - 98 /   99 - 103 / 104 - 112 /

PUBLICATIONS IN OTHER EDITIONS

CONTENTS

S.B. Karavashkin  EXACT ANALYTIC SOLUTION FOR 1D INFINITE VIBRANT ELASTIC LUMPED LINE

First published in Materials. Technologies. Tools (National Academy of Sciences of Belarus), 4 (1999), 3, pp.15-23

We will analyse the most important drawbacks of conventional solutions for the problem of vibrant infinite 1D elastic lines with lumped parameters. We will present the exact analytic solutions for forced and free vibrations of semi-finite and infinite homogeneous elastic lines. We will analyse these solutions, examine their physical meaning and verify them, to perform their exactness and completeness.

Keywords: mathematical physics, wave physics, dynamics, infinite elastic lumped lines, ODE

Classification by MSC 2000: 30E25; 70E55; 70J35; 70J60; 70K40; 70F40

Classification by PASC 2001: 02.60.Lj; 05.10.-a; 05.45.-a; 45.30.+s; 46.15.-x; 46.25.Cc; 46.40.-f; 46.40.Fr

Full text:  /15 / 16 / 17 / 18 / 19 / 20 / 21 / 22 / 23 /

S.B. Karavashkin. EXACT ANALYTICAL SOLUTION FOR 1D ELASTIC HOMOGENEOUS FINITE LUMPED LINE VIBRATION

First published in Materials. Technologies. Tools (National Academy of Sciences of Belarus), 4 (1999), 4, pp.5-13

We will analyse the main shortcomings of conventional approaches to the problem of vibrant 1D homogeneous finite lumped line and present the exact analytical solutions for forced and free vibrations in finite lines with the free ends and with the free end and fixed start. We will analyse these solutions and their distinctions from the conventional concept on the vibration pattern in such lines. We will give the check of presented solutions proving them to be complete and exact.

Keywords: mathematical physics, wave physics, dynamics, finite elastic lumped lines, ODE systems, microwave vibrations in elastic lines

Classification by MSC 2000: 30E25; 70E55; 70J35; 70J60; 70K40; 70F40

Classification by PASC 2001: 02.60.Lj; 05.10.-a; 05.45.-a; 45.30.+s; 46.15.-x; 46.25.Cc; 46.40.-f; 46.40.Fr

S. B. Karavashkin. THE FEATURES OF INCLINED FORCE ACTION ON 1D HOMOGENEOUS ELASTIC LUMPED LINE AND CORRESPONDIG MODERNISATION OF THE WAVE EQUATION

First published in Materials. Technologies. Tools (National Academy of Sciences of Belarus), 6 (2001), 4, pp.13-19

We will analyse the exact analytical solutions for 1D elastic lumped lines affected by external force inclined to the line axis. We will show that in this case an inclined wave described by an implicit function propagates along the line. We will extend this conclusion both to free vibrations and to distributed lines. We will prove that the presented solution in the form of implicit function is a generalising for the wave equation.

When taken into consideration exactly, the pattern of dynamical processes leads to the conclusion that the divergence of a vector in dynamical fields is not zero but proportional to the scalar product of the partial derivative of the given vector with respect to time into the vector of wave propagation direction.

Keywords: Mathematical physics, Wave physics, Dynamics, Elastic lumped lines, Inclined force action, General solution of the wave equation, Vector flgebra, Divergence of vector in dynamical fields, ODE systems

Classification by MSC 2000: 30E25; 70E55; 70J35; 70J60; 70K40; 70F40

Classification by PASC 2001: 02.60.Lj; 05.10.-a; 05.45.-a; 45.30.+s; 46.15.-x; 46.25.Cc; 46.40.-f; 46.40.Fr

Full text: / 13 / 14 / 15 / 16 / 17 / 18-19

Full text in Postscript

S. B. Karavashkin. TRANSFORMATION OF DIVERGENCE THEOREM IN DYNAMICAL FIELDS

First published in Archivum mathematicum (BRNO), 37(2001) No 3, pp. 233 - 243

Keywords: Theoretical physics, Mathematical physics, Wave physics, Vector algebra.

Classification by MSC 2000: 76A02, 78A02, 78A25, 78A40

Full text: /  233 - 234 / 235 - 236 / 237 - 238 / 239 - 240 / 241 - 243

Full text in Postscript

Supplement: New Year question from Leo