A. I. Allilueva

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is not Comparable to the Scale of the Localized Inhomogeneity.2025
• Short-Wave Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength Is Not Comparable to the Scale of Localized Inhomogeneity. One-Dimensional Case2025
• Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields2024
• Semiclassical Asymptotics and Particle-Antiparticle Interactions for the Dirac Equations with Abruptly Varying 4-Potential2024
• Maslov’s Complex Germ in the Cauchy Problem for a Wave Equation with a Jumping Velocity2022
• Reflection and Refraction of Lagrangian Manifolds Corresponding to Short-Wave Solutions of the Wave Equation with an Abruptly Varying Velocity2021
• Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs2017 · аннотациясвернуть

  The asymptotic behavior of the Cauchy problem for the wave equation with variable velocity and localized initial conditions on the line, semi-axis, and an infinite starlike graph is described. The solution consists of a…

• New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems2015 · аннотациясвернуть

  A procedure for constructing asymptotic solutions of strictly hyperbolic systems of partial differential equations is described in general terms. On the basis of the obtained results, an asymptotic solution of a…