90 citations · 110 across the 7 of their papers we have counts for
7 papers
Hyperbolic statics in space-time
Dmitry Pavlov, Sergey Kokarev
Based on the concept of material event as an elementary material source that is concentrated on metric sphere of zero radius --- light-cone of Minkowski space-time, we deduce the a…
Geometric Discretization of the EPDiff Equations
Dmitry Pavlov
The main objective of this paper is to develop a general method of geometric discretization for infinite-dimensional systems and apply this method to the EPDiff equation. The metho…
The hyperbolic field theory on the plane of double variable
Dmitry Pavlov, Sergey Kokarev
By analogy to the theory of harmonic fields on the complex plane, we build the theory of wave-like fields on the plane of double variable. We construct the hyperbolic analogues of…
h-Holomorphic Functions of Double Variable and their Applications
Dmitry Pavlov, Sergey Kokarev
The paper studies the complex differentiable functions of double argument and their properties, which are similar to the properties of the holomorphic functions of complex variable…
Geometrical Models of the Locally Anisotropic Space-Time
V. Balan, G. Yu. Bogoslovsky, S. S. Kokarev +3
Along with the construction of non-Lorentz-invariant effective field theories, recent studies which are based on geometric models of Finsler space-time become more and more popular…
Geometric, Variational Discretization of Continuum Theories
Evan S. Gawlik, Patrick Mullen, Dmitry Pavlov +2
This study derives geometric, variational discretizations of continuum theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the dynamics of complex fluids. A central…