Abstract
We prove asymptotic stability of solitons for the 2D Maxwell–Lorentz equations with an extended charged particle. Soliton solutions correspond to the uniform motion of a particle. Our main result is as follows: the particle for large times moves asymptotically uniformly, and the Maxwell field asymptotically is the sum of the comoving field and the dispersive wave. The remainder converges to zero in the global energy norm.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
