Dvoeglazov’s paper is not trivial because we know the classical definition of any non-trivial truth: a truth is not trivial if and only if an opposite statement is not false (and vice versa, of course). So I strongly recommend his paper for a reader. But I have a few notes: 1) V. Dvoeglazov writes in his footnote number 7: ”In my opinion, equations (20,21) of ref. [1] are just another form of t...

Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In an earlier paper [1] it has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the macroscopic w...

This account of Maxwell as professor of natural philosophy at Marischal College, Aberdeen, fills in many details that have been left out of Maxwell's biographies. It discusses the degree programme that Maxwell taught on, the nature of his colleagues, the type of student he had in his classes and the range of activities involved in his teaching. Evidence is cited that Maxwell was an enthusiastic...

A " Master " gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons-Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamil-tonian (Batalin-Tyutin) frameworks, th...

The unidirectional oscillating flow of a viscoelastic fluid with the fractional Maxwell model is studied. The flow is produced by a periodic pressure gradient in an infinite straight pipe. Exact solutions are obtained in the time and frequency domains by using Fourier transform. The fractional Maxwell model exhibits resonance phenomena similar to that of the Maxwell model. However, the number o...

We consider a modified version of the Vlasov-Maxwell system in which the usual Maxwell fields are replaced by their retarded parts. We show that solutions of this modified system exist globally for a small initial density of particles and that they describe a system without incoming radiation.

We present static cylindrically symmetric electrovac solutions in the framework of the Brans-Dicke theory and show that our solution yields some of the well-known solutions for special values of the parameters of the resulting metric functions.

We prove that planar elongational flow of the upper convected Maxwell fluid is linearly stable and analyze the associated spectral problem.

A " Master " gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons-Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamiltonian (Batalin-Tyutin) frameworks, the...