
Advanced Mathematical Models and Integration Methods
Seminar Proceedings on Applications to Mechanics and Physics
- English
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Advanced Mathematical Models and Integration Methods
Seminar Proceedings on Applications to Mechanics and Physics
About this book
This volume presents selected contributions from the seminar "Mathematical Models and Integration Methods," highlighting recent advances in differential equations, mathematical modeling, and modern analytical techniques. The topics cover a wide range of problems, including vortex structures in ferromagnets, wave propagation in inhomogeneous media, reciprocal transformations of heat equations, nonlinear resonance phenomena, and composite beam analysis. The collection also includes studies on the exponential map of vector fields, sedeonic models in superconductivity, and transformations in relativistic systems. Most contributions are from leading Russian researchers, complemented by papers from international participants. The book is intended for specialists in applied mathematics, mathematical physics, and engineering disciplines interested in contemporary modeling approaches and integration methods.
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Information
Table of contents
- Title Page
- Copyright
- Contents
- Frontmatter
- Contents
- List of contributors
- Vortex structures in a two-dimensional isotropic ferromagnet
- On the wave propagation without reflection in inhomogeneous medium: traveling Alfvén waves in plasma flows along magnetic field
- Exponential map of germs of vector fields
- The integral representation of Binet type
- Model and bending analysis of the sandwich beam with composite facings and compressible orthotropic core using Abramov sweep method
- Sedeonic equations for hydrodynamic model of electron fluid in superconductors
- Modified elliptic equation for heat transfer in solids
- Approximate solution for the far fields of momentumless turbulent wakes
- Equations equivalent to the classical one-dimensional heat equation by reciprocal transformations
- On nonlinear resonance in vector derivative nonlinear Schrödinger equations
- On the lifetime of free neutrons and transformations of time intervals in inertial reference systems
- Index
- Subject Index