Zobrazeno 1 - 10
of 700
pro vyhledávání: '"Komech, A A"'
Autor:
Komech, Alexander, Kopylova, Elena
We prove the orbital stability of soliton solutions for 2D Maxwell--Lorentz system with extended charged particle. The solitons corresponds to the uniform motion and rotation of the particle. We reduce the corresponding Hamilton system by the canonic
Externí odkaz:
http://arxiv.org/abs/2312.15294
Autor:
Komech, Alexander, Merzon, Anatoli
We describe Malyshev's method of automorphic functions in application to boundary value problems in angles and to diffraction by wedges. We give a consize survey of related results of A. Sommerfeld, S.L. Sobolev, J.B. Keller, G.E. Shilov and others.<
Externí odkaz:
http://arxiv.org/abs/2312.15287
Autor:
Kopylova, Elena, Komech, Alexander
We consider the 2D Maxwell--Lorentz system which describes a rotating particle coupled to the Maxwell field. The system admits stationary soliton-type solutions. We prove the attraction to solitons for any finite energy solution relying on the conser
Externí odkaz:
http://arxiv.org/abs/2312.15284
Autor:
Komech, Alexander
We consider the Maxwell-Bloch system which is a finite-dimensional approximation of the coupled nonlinear Maxwell-Schr\"odinger equations. The approximation consists of one-mode Maxwell field coupled to two-level molecule. We construct time-periodic
Externí odkaz:
http://arxiv.org/abs/2312.08180
We consider several basic questions on distributed routing in directed graphs with multiple additive costs, or metrics, and multiple constraints. Distributed routing in this sense is used in several protocols, such as IS-IS and OSPF. A practical appr
Externí odkaz:
http://arxiv.org/abs/2310.07350
Autor:
Komech, Alexander, Kopylova, Elena
We consider stability of solitons of 3D Maxwell--Lorentz system with extended charged spinning particle.The solitons are solutions which correspond to a particle moving with a constant velocity $v\in\R^3$ with $|v|<1$ and rotating with a constant ang
Externí odkaz:
http://arxiv.org/abs/2306.00508
Autor:
Komech, Alexander, Kopylova, Elena
We develop the theory of momentum map for the Maxwell-Lorentz equations with spinning extended charged particle. This theory is indispensable for the study of long-time behaviour and radiation of the solitons of this system. The development relies on
Externí odkaz:
http://arxiv.org/abs/2304.07739
We survey the theory of attractors of nonlinear Hamiltonian partial differential equations since its appearance in 1990. These are results on global attraction to stationary states, to solitons and to stationary orbits, on adiabatic effective dynamic
Externí odkaz:
http://arxiv.org/abs/2212.14152
Autor:
Komech, Alexander
We consider the selfconsistent semiclassical Maxwell--Schr\"odinger system for the solid state laser which consists of the Maxwell equations coupled to $N\sim 10^{20}$ Schr\"odinger equations for active molecules. The system contains time-periodic pu
Externí odkaz:
http://arxiv.org/abs/2208.10179
Autor:
Komech, Alexander
We consider the 3D damped driven Maxwell--Schr\"odinger equations in a bounded region under suitable boundary conditions. We establish new a priori estimates, which provide the existence of global finite energy weak solutions and bounded absorbing se
Externí odkaz:
http://arxiv.org/abs/2104.10723