Methods of computational physics developed at JINR for investigation of models of complex
physical processes in different fields of theoretical physics are considered. A general …

The problem of vortex structure in a single Josephson junction in an external magnetic field,
in the absence of transport currents, is reconsidered from a new mathematical point of view …

The classical problem of the Josephson junction of arbitrary length W in the presence of
externally applied magnetic fields (H) and transport currents (J) is reconsidered from the …

We prove existence and uniqueness of solutions of a large class of initial–boundary-value
problems characterized by a quasi-linear third order equation (the third order term being …

The paper deals with a third order semilinear equation which characterizes exponentially
shaped Josephson junctions in superconductivity. The initial-boundary problem with …

A superconductive model characterized by a third order parabolic operator L" is analysed.
When the viscous terms, represented by higher-order deriva-tives, tend to zero, a hyperbolic …

We report theoretical and experimental work on the development of a Josephson vortex two-
state system based on a confocal annular Josephson tunnel junction (CAJTJ). The key …

A parabolic integro differential operator L, suitable to describe many phenomena in various
physical fields, is considered. By means of equivalence between L and the third order …

We give an exact and complete analytical solution of the classical problem of a Josephson
tunnel junction of arbitrary length W∊(0,∞) in the presence of external magnetic fields and …

Critical curves" critical current-external magnetic field" of long Josephson junctions with
inhomogeneity and variable width are studied. We demonstrate the existence of regions of …