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math-ph2026
On Global Attraction for a Particle Coupled to a Scalar Field
Valeriy Imaykin
We study the question of global attraction, in the energy norm, for finite energy solutions to classical particle coupled to a scalar wave field. The attraction could take place to…
math-ph2016★ 4 cited
On invariants for the Poincare equations and applications
Valeriy Imaykin, Alexander Komech, Herbert Spohn
We extend the Noether theory of invariants to the Poincare equations. We apply this extension to the Maxwell-Lorentz equations coupled to the Abraham rotating extended electron wit…
math-ph2012
On Lagrangian Theory for Rotating Charge Coupled to the Maxwell Field
Valeriy Imaykin, Alexander Komech, Herbert Spohn
We justify the Hamilton least action principle for the Maxwell-Lorentz equations with Abraham's rotating extended electron. The main novelty in the proof is application of the vari…