Mathematical Physics

1601 Submissions

[5] viXra:1601.0312 [pdf] replaced on 2016-02-11 04:12:01

Breakdown of Navier-Stokes Solutions – Unbounded Energy for t > 0

Authors: Valdir Monteiro dos Santos Godoi
Comments: 16 Pages. English and portuguese versions.

A solution to the 6th millenium problem, respect to breakdown of Navier-Stokes solutions and the bounded energy. We have proved that there are initial velocities u^0 (x) and forces f(x,t) such that there is no physically reasonable solution to the Navier-Stokes equations for t>0, which corresponds to the case (C) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute.
Category: Mathematical Physics

[4] viXra:1601.0283 [pdf] replaced on 2019-04-03 06:25:00

Special Relativistic Fourier Transformation and Convolutions

Authors: Eckhard Hitzer
Comments: 17 Pages. Math. Methods in the Applied Sciences, First pub.: 04 Mar. 2019, Vol. 42, Iss. 7, pp. 2244-2255, 2019, DOI: 10.1002/mma.5502

In this paper we use the steerable special relativistic (space-time) Fourier transform (SFT), and relate the classical convolution of the algebra for space-time $Cl(3,1)$-valued signals over the space-time vector space $\R^{3,1}$, with the (equally steerable) Mustard convolution. A Mustard convolution can be expressed in the spectral domain as the point wise product of the SFTs of the factor functions. In full generality do we express the classical convolution of space-time signals in terms of finite linear combinations of Mustard convolutions, and vice versa the Mustard convolution of space-time signals in terms of finite linear combinations of classical convolutions.
Category: Mathematical Physics

[3] viXra:1601.0134 [pdf] submitted on 2016-01-12 21:34:25

Modeling of Self-Heating in ic Interconnects and Investigation on the Impact on Inter Modulation Distortion

Authors: Sai Venkatesh Balasubramanian
Comments: 27 Pages.

We have obtained an equivalent circuit that explains selfheating effects and have tested the presence of nonlinearity and IMD using simulation. The significance of the approach lies in successfully modeling thermal effects in interconnects in ICs using SOI technology with al conductors. Future work: proposing of circuits and techniques that can be used for compensation of selfheating effects.
Category: Mathematical Physics

[2] viXra:1601.0075 [pdf] submitted on 2016-01-08 13:26:02

Evaluation of the Integral $\int_0^\infty R^{2-\lambda}\, J_0(k_1r)\,j_0(k_2r)\,j_\lambda(k_3r)\,dr$

Authors: Rami Mehrem
Comments: 5 Pages.

The integral $\int_0^\infty r^{2-\lambda}\, j_0(k_1r)\,j_0(k_2r)\,j_\lambda(k_3r)\,dr$ is evaluated for any real positive $k_1$, $k_2$, $k_3$ and $\lambda \ge 0$
Category: Mathematical Physics

[1] viXra:1601.0045 [pdf] replaced on 2016-04-17 08:36:40

Die Formale Grundlage eines Quaternionischen Raum-Zeit-Kalküls

Authors: Carsten S.P. Spanheimer
Comments: 26 Pages. In german language.

Die Einführung 'quaternionischer Differentialformen' auf dem Tangentialraum einer vierdimensionalen Mannigfaltigkeit ergibt ein vielversprechendes mathematisches System zur Beschreibung unserer physikalischen (3+1)-Raumzeit schon mit einem Minimum von Grundannahmen. Hier wird die Grundlage dieses Modells einer 'Quaternionischen Raumzeit' dargestellt.
Category: Mathematical Physics