Speciality:
01.01.05 (Probability theory and mathematical statistics)
E-mail: ,
Keywords: Wave and Klein–Gordon equations,
harmonic crystals,
coupled Hamilton systems,
Cauchy problem,
random initial data,
weak convergence of measures,
space-time scaling,
hydrodynamic limit,
energy transport equation.
UDC: 517.9
MSC: 35Lxx, 60Fxx, 60Gxx, 82Cxx, 97
Subject:
Scattering theory. Ergodicity and mixing of random processes. Long-time behavior of solutions for partial differential equations of the hyperbolic type, for the difference equations and for coupled systems, with random initial data. Weak convergence of measures. The derivation of hydrodynamic equations.
Main publications:
T.V. Dudnikova, H. Spohn, “Local stationary for lattice dynamics in the harmonic approximation”, Markov Processes and Related Fields, 12:4 (2006), 645-678 , arXiv: math-ph/0505031
T. V. Dudnikova, A. I. Komech, “On a two-temperature problem for Klein–Gordon equation”, Theory Probab. Appl., 50:4 (2006), 582–611
T.V. Dudnikova, A.I. Komech, N. Mauser, “On the convergence to a statistical equilibrium in the crystal coupled to a scalar field”, Russian Journal of Mathematical Physics, 12:3 (2005), 301-325 , arXiv: math-ph/0508053
T.V. Dudnikova, A.I. Komech, N. Mauser, “On two-temperature problem for harmonic crystals”, Journal of Statistical Physics, 114:3/4 (2004), 1035-1083 , arXiv: math-ph/0211017
T.V. Dudnikova, A.I. Komech, H. Spohn, “On a two-temperature problem for wave equation”, Markov Processes and Related Fields, 8:1 (2002), 43-80 , arXiv: math-ph/0508044
