## Table of Contents

**Table of Contents**

Section I. Differential Equations, Numerical Methods, Algorithms and Solutions

Chapter 1. Computational Methods for Two-Dimensional Neural Fields

P.M. Lima, E. Buckwar (CEMAT, Instituto Superior Tecnico, Universidade de Lisboa, Portugal)

Chapter 2. Mathematical Simulation of the Heat and Mass Transfer in a Plane Channel with Infinite Parallel Walls under the Action of a Temperature Gradient

O.V. Germider and V.N. Popov (Department of Mathematics, Northern (Arctic) Federal University named after M.V. Lomonosov, Arhangelsk, Russia)

Chapter 3. The Hopfions in the Skyrme – Faddeev Spinor Model

Yu. P. Rybakov and V.I. Molotkov (Department of Theoretical Physics and Mechanics, RUDN University, Moscow, Russia)

Chapter 4. Mathematical Simulation of the Mass Transfer in a Long Rectangular Channel under the Action of a Temperature Gradient

O.V. Germider and V.N. Popov (Department of Mathematics, Northern (Arctic) Federal University named after M.V. Lomonosov, Arhangelsk, Russia)

Chapter 5. The Nonexistence of Solutions for Some Elliptic Inequalities and Systems with Variable Exponents and Singular Coefficients on the Boundary

O.A. Salieva (A lied Mathematics Department, Moscow State Technological University “STANKIN”, Moscow, Russia)

Chapter 6. The Analysis of a Motion Model of Orbital Tether Systems Based on Properties of Limit Cycles

V. Vorontsova and O. Druzhinina (Kazan Federal University, Kazan, Russia)

Chapter 7. The Nonexistence of Solutions for Some Nonlinear Inequalities with a Transformed Argument in Bounded Domains

O.A. Salieva (A lied Mathematics Department, Moscow State Technological University “STANKIN”, Moscow, Russia)

Chapter 8. TS Models and Semidefinite Lyapunov Functions in Stability Analysis of Nonlinear Delay Systems

N. Sedova (Department of Mathematics, Information and Aviation Technologies, Ulyanovsk State University, Ulyanovsk, Russia)

Chapter 9. Matrix Fourier Integral Transforms for Coupled Mathematical Models

O.E. Iaremko (Department of computer science, Penza State University, Penza, Russia)

Chapter 10. Some Approaches to the Design of Partial Solutions for Nonlinear Equations of Mathematical Physics (pp.171-200)

V.A. Kadymov, E.A. Yanovskaya (Department of A lied Mathematics, Moscow State University of Humanities and Economics, Moscow, Russia)

Section II. Kinetics, Dynamics and Thermochemistry of Micro-, Meso- and Macro-Scale Systems

Chapter 11. The Evolution of Polymer Systems during Electrospinning: From a Semi-Dilute Polymer Solution to a Non-Equilibrium State

A. Arinstein (Department of Mechanical Engineering, Technion–Israel Institute of Technology, Haifa, Israel

Chapter 12. Structural Methods of Design Identification Systems

N. Karabutov (Department of ControlProblems, Moscow Technological University (MIREA), Moscow, Russia)

Chapter 13. Non-Linear Longitudinal Current in Quantum Plasma Generated by N Transverse Electromagnetic Waves

A.V. Latyshev and V.I. Askerova (Department of Mathematical Analysis and Geometry, Moscow State Regional University, Moscow, Russia)

Chapter 14. Mathematical Modeling of Railway Track Structure under Changing Rigidity Parameters

A. Loktev, V. Sychev, E. Gridasova and R. Stepanov (Departament of Transport Construction, Moscow State University of Railway Engineering (MIIT), Moscow, Russia)

Chapter 15. An Experimental Study of the Effects of the Wind on a Metal Bridge Crossing with Two Independent Parallel Spans

A. Loktev O. Poddaeva, A. Fedosova and P. Churin (Departament of Transport Construction, Moscow State University of Railway Engineering (MIIT), Moscow, Russia)

Chapter 16. The Photophoretic Motion of Moderately Large Spherical Aerosol Particles with Arbitrary Temperature Differences

N.V. Malay and E.R. Shchukin (Belgorod National Research University, Belgorod, Russia)

Chapter 17. The Evolution of Turbulence Structure over Inhomogeneously Heated Surfaces

V.V. Nosov, V.P. Lukin, E.V. Nosov, A.V. Torgaev (V.E. Zuev Institute of Atmospheric Optics of SB RAS, Tomsk, Russia)

Chapter 18. The Computer Simulation of Nonlinear Processes in Gas-Metal Microsystems

V. Podryga and S. Polyakov (Keldysh Institute of A lied Mathematics of Russian Academy of Sciences,Moscow, Russia)

Chapter 19. Magnetic Excitations in a Chiral Graphene Model

Yu.P. Rybakov and M. Iskandar (Department of Theoretical Physics and Mechanics, RUDN University, Moscow, Russia)

Chapter 20. Thermophoresis of Non-Uniform Moderately Large Spherical Aerosol Particles

E.R. Shchukin, N.V. Malay and Z.L. Shulimanova (Joint Institute for High Temperatures of the Russian Academy of Science, Moscow, Russia)

Chapter 21. The Thermophoresis of a Cylindrical Aerosol Particle of Non-Uniform Thermal Conductivity

E.R. Shchukin, L.A. Uvarova, Z.L. Shulimanova and N.V. Malay (Joint Institute for High Temperatures of the Russian Academy of Science, Moscow, Russia)

Chapter 22. On Some Methods of Construction of Nonlinear Structure-Property Relationships for Organic Compounds

M. Skvortsova (Institute of Fine Chemical Technologies, Moscow Technological University, Moscow, Russia)

Chapter 23. Modeling the Structures of Organic Compounds: From Molecular Graphs to Molecular Hypergraphs

I. Faskhutdinova, N. Mikhailova and M. Skvortsova (Institute of Fine Chemical Technologies, Moscow Technological University, Moscow, Russia)

Chapter 24. The Mathematical and Physical Modeling of Distribution Operations in Crimp Conical Shells

E. N. Sosenushkin, V. A. Kadymov, E. A. Yanovskaya, A. A. Tatarintsev and A. E. Sosenushkin (Department of A lied Mathematics, Moscow State Technological University “STANKIN”, Moscow, Russia)

Chapter 25. Modeling of Heat Transfer in the System of Small Spherical and Cylinrical Particles under the Action of Elecromagnetic Radiation

L.A. Uvarova, I.V. Krivenko, M.A. Smirnova and A.F. Ivannikov (Department of A lied Mathematics, Moscow State Technological University “STANKIN”, Moscow, Russia)

Chapter 26. HPC Simulation of Gasdynamic Flows on Macroscopic and Molecular Levels

T. Kudryashova, V. Podryga and S. Polyakov (Keldysh Institute of A lied Mathematics of Russian Academy of Sciences, Moscow, Russia)

About the Editors

Index