57 citations · 214 across the 22 of their papers we have counts for
22 papers
Convergence to equilibrium distribution. Dirac fields coupled to a particle
T. V. Dudnikova
For a system consisting of several Dirac fields and a particle, we study the Cauchy problem with random initial data. We assume that the initial measure has zero mean value, a fini…
Space-time statistical solutions for an inhomogeneous chain of harmonic oscillators
T. V. Dudnikova
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 initia…
Behavior for large time of an infinite chain of harmonic oscillators with defects
T. V. Dudnikova
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 f…
On the energy current for harmonic crystals
T. V. Dudnikova
We consider a -dimensional harmonic crystal, , and study the Cauchy problem with random initial data. We assume that the random initial function is close to different tr…
Large-time asymptotic behavior of the infinite system of harmonic oscillators
T. V. Dudnikova
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 an…
Boundedness and convergence of solutions for the string coupled to a nonlinear oscillator
T. V. Dudnikova
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.…