13 citations · 86 across the 45 of their papers we have counts for
13 papers · 1 filter
General equation for directed Electromagnetic Pulse Propagation in 1D metamaterial: Projecting Operators Method
Dmitrii Ampilogov, Sergey Leble
We consider a boundary problem for 1D electrodynamics modeling of a pulse propagation in a metamaterial medium. We build and apply projecting operators to a Maxwell system in time…
The method of dynamic projection operators in the theory of hyperbolic systems of partial differential equations with variable coefficients
Sergey Leble, Irina Vereshchagina
We consider a generalization of the projecting operators method for the case of Cauchy problem for systems of 1D evolution differential equations of first order with variable coeff…
Proper orthogonal decomposition of eigen modes in a gas affected by a mass force
Anna Perelomova, Sergey Leble
The relations connecting perturbations in acoustic and entropy modes in a gas affected by a constant mass force, are derived. The background temperature of a gas may vary in the di…
Quantum corrections to phi^4 model solutions and applications to Heisenberg chain dynamics
Grzegorz Kwiatkowski, Sergey Leble
The Heisenberg spin chain is considered in phi^4 model approximation. Quantum corrections to classical solutions of the one-dimensional phi^4 model within the correspondent physics…
Study of internal wave breaking dependence on stratification
Sergey Kshevetskii, Sergey Leble
Mixing effect in a stratified fluid is considered and examined. Euler equations for incompressible fluid stratified by a gravity field are applied to state a mathematical problem a…
Green function diagonal for a class of heat equations
Grzegorz Kwiatkowski, Sergey Leble
A construction of the heat kernel diagonal is considered as element of generalized Zeta function, that, being meromorfic function, its gradient at the origin defines determinant of…