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pro vyhledávání: '"Dudnikova, T. V."'
Autor:
Dudnikova, T. V.
We consider an one-dimensional inhomogeneous harmonic chain consisting of two different semi-infinite chains of harmonic oscillators. We study the Cauchy problem with random initial data. Under some restrictions on the interaction between the oscilla
Externí odkaz:
http://arxiv.org/abs/2102.04380
Autor:
Dudnikova, T. V.
An infinite irregular harmonic chain of particles is considered. We assume that some particles (``defects'') in the chain have masses and force constants of interaction different from the masses and the interaction constants of the other particles. W
Externí odkaz:
http://arxiv.org/abs/1909.06764
Autor:
Dudnikova, T. V.
We consider a $d$-dimensional harmonic crystal, $d\ge 1$, and study the Cauchy problem with random initial data. We assume that the random initial function is close to different translation-invariant processes for large values of $x_1,\dots,x_k$ with
Externí odkaz:
http://arxiv.org/abs/1706.06429
Akademický článek
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Autor:
Dudnikova, T. V.
The mixed initial-boundary value problem for infinite one-dimensional chain of harmonic oscillators on the half-line is considered. We study the large time behavior of solutions and derive the dispersive bounds.
Comment: 17 pages, corrected the
Comment: 17 pages, corrected the
Externí odkaz:
http://arxiv.org/abs/1610.09217
Autor:
Dudnikova, T. V.
A system of equations consisting of an infinite string coupled to a nonlinear oscillator is considered. The Cauchy problem for the system with the periodic initial data is studied. The main goal is to prove the convergence of the solutions as $t\to\i
Externí odkaz:
http://arxiv.org/abs/1604.06281
Autor:
Dudnikova, T. V.
Publikováno v:
Journal of Mathematical Physics 58, 043301 (2017)
The initial-boundary value problem for an infinite one-dimensional chain of harmonic oscillators on the half-line is considered. The large time asymptotic behavior of solutions is studied. The initial data of the system are supposed to be a random fu
Externí odkaz:
http://arxiv.org/abs/1504.05132
Akademický článek
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Autor:
Dudnikova, T. V.
Solitary waves of nonlinear Dirac, Maxwell-Dirac and Klein-Gordon-Dirac equations are considered. We prove that the energy-momentum relation for solitary waves coincides with the Einstein energy-momentum relation for point particles.
Comment: 27
Comment: 27
Externí odkaz:
http://arxiv.org/abs/1404.6941
Autor:
Dudnikova, T. V.1 (AUTHOR) tdudnikov@mail.ru
Publikováno v:
Journal of Mathematical Sciences. Jan2023, Vol. 269 Issue 2, p173-188. 16p.