On orbital stability of solitons for 2D Maxwell-Lorentz equations
DOI10.3934/cpaa.2024012arXiv2312.15294OpenAlexW4392395650MaRDI QIDQ6203680
Elena A. Kopylova, Alexander I. Komech
Publication date: 6 April 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2312.15294
Lyapunov functioncanonical transformationsolitonsHamiltonian structureorbital stabilityMaxwell-Lorentz equationsLagrangian structure
Second-order nonlinear hyperbolic equations (35L70) General theory of partial differential operators (47F05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Maxwell equations (35Q61) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
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