Dudnikova Tatiana Vladimirovna

Publications in Math-Net.Ru

1. Deriving hydrodynamic equations for a Hamiltonian “field-lattice” system
   
   Dokl. RAN. Math. Inf. Proc. Upr., 521 (2025),  32–37
2. Stabilization of space–time statistical solutions for Dirac equations
   
   Mat. Zametki, 118:6 (2025),  957–962
3. Stabilization of the statistical solutions for large times for a harmonic lattice coupled to a Klein–Gordon field
   
   TMF, 218:2 (2024),  280–305
4. On the stationary non-equilibrium measures for the “field–crystal” system
   
   Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  37–40
5. Volume conjecture and WKB asymptotics
   
   Lobachevskii J. Math., 43:8 (2022),  2056–2079
6. Convergence to stationary non-equilibrium states for Klein–Gordon equations
   
   Izv. RAN. Ser. Mat., 85:5 (2021),  110–131
7. On stationary nonequilibrium measures for wave equations
   
   Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  27–30
8. Space-time statistical solutions for the Hamiltonian field-crystal system
   
   Keldysh Institute preprints, 2020, 089, 20 pp.
9. Stabilization of Statistical Solutions for an Infinite Inhomogeneous Chain of Harmonic Oscillators
   
   Trudy Mat. Inst. Steklova, 308 (2020),  181–196
10. The limiting amplitude principle for the nonlinear Lamb system
    
    Probl. Anal. Issues Anal., 8(26):3 (2019),  45–62
11. Infinite non homogeneous chain of harmonic oscillators: Stabilization of statistical solutions
    
    Keldysh Institute preprints, 2018, 254, 24 pp.
12. The asymptotic behavior of solutions to the Cauchy problem with periodic initial data for the nonlinear Lamb system
    
    Keldysh Institute preprints, 2018, 206, 16 pp.
13. On the non-equilibrium states of the crystal lattice
    
    Keldysh Institute preprints, 2018, 015, 26 pp.
14. Virial identities and energy-momentum relation for solitary waves of nonlinear Dirac equations
    
    Keldysh Institute preprints, 2018, 012, 36 pp.
15. Large-time behavior of an infinite system of harmonic oscillators on the half-line
    
    Trudy Mat. Inst. Steklova, 301 (2018),  91–107
16. Infinite non homogeneous chain of harmonic oscillators: Large-time behavior of solutions
    
    Keldysh Institute preprints, 2017, 109, 35 pp.
17. Scattering theory for a discrete Hamiltonian system
    
    Keldysh Institute preprints, 2016, 097, 26 pp.
18. On the Asymptotic Normality of a Harmonic Crystal Coupled to a Wave Field
    
    Mat. Zametki, 99:6 (2016),  941–944
19. Deriving hydrodynamic equations for lattice systems
    
    TMF, 169:3 (2011),  352–367
20. Convergence to equilibrium of the wave equation in $\mathbb R^n$ with odd $n\geqslant3$
    
    Uspekhi Mat. Nauk, 61:1(367) (2006),  177–178
21. Stabilization of statistical solutions to the wave equation in the even-dimensional space
    
    Keldysh Institute preprints, 2005, 080, 36 pp.
22. On convergence to equilibrium for wave equations in $\mathbb R^n$, with odd $n\ge3$
    
    Keldysh Institute preprints, 2005, 077, 32 pp.
23. On a two-temperature problem for Klein–Gordon equation
    
    Teor. Veroyatnost. i Primenen., 50:4 (2005),  675–710
24. Ergodic properties of hyperbolic equations with mixing
    
    Teor. Veroyatnost. i Primenen., 41:3 (1996),  505–519
25. A connection between the scattering matrix and the scattering amplitude for symmetric hyperbolic systems
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 4,  3–6
26. Ergodicity of the phase flow of the wave equation with mixing
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 1,  17–22


27. On the limit amplitude principle for the 1d non-linear wave equation
    
    Math. Ed., 2015, no. 4(76),  53–58