2003/01/16 by Sergej A. Choroszavin, Choroszavin, Sergej A.
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.DS #math.MP
paper · pdf · doi:10.48550/arxiv.math/0301167
Latex 2.09, Appendix C corrected
openalex publication_date 2003/01/16 · arxiv created 2003/11/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is an electronic application to my set of lectures, subject:`Formal methods in solving differential equations and constructing models of physical phenomena'. Addressed, mainly: postgraduates and related readers. Content: a very detailed discussion of the simple model of interaction based on the equation array: d2 q(t)/dt2 =-Ω2(q(t)-Q(t))+f0(t), d2u(t,x)/t2=c2d2 u(t,x)/dx 2 -4γcδ(x-x0)(Q(t)-q(t)) +f1(t,x), Q(t) = u(t,x0) . Besides, less detailed discussion of related models. Central mathematical points: d'Alembert-Kirchhoff-like formulae. Central physical points: phenomena of Radiation Reaction, Braking Radiation and Resonance.