Dudnikova, T. V. Transport equation for the harmonic crystal coupled to a Klein-Gordon field. (English) Zbl 07788014 Russ. J. Math. Phys. 30, No. 4, 501-521 (2023). MSC: 82Cxx 47Axx 47Bxx PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Russ. J. Math. Phys. 30, No. 4, 501--521 (2023; Zbl 07788014) Full Text: DOI
Dudnikova, T. V. On mixing conditions in proving the asymptotical normality for harmonic crystals. (English) Zbl 1526.60020 Lobachevskii J. Math. 44, No. 7, 2613-2629 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G07 62E20 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Lobachevskii J. Math. 44, No. 7, 2613--2629 (2023; Zbl 1526.60020) Full Text: DOI
Dudnikova, T. V. On the stationary non-equilibrium measures for the “field-crystal” system. (English. Russian original) Zbl 1517.81045 Dokl. Math. 106, No. 2, 332-335 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 37-40 (2022). MSC: 81Q05 82D25 35A10 81R10 82B30 60G10 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Dokl. Math. 106, No. 2, 332--335 (2022; Zbl 1517.81045); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 37--40 (2022) Full Text: DOI
Dudnikova, T. V. Space-time statistical solutions for a two-component chain of harmonic oscillators. (English) Zbl 1469.82020 Lobachevskii J. Math. 42, No. 6, 1248-1263 (2021). MSC: 82C22 34C10 35B05 35R06 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Lobachevskii J. Math. 42, No. 6, 1248--1263 (2021; Zbl 1469.82020) Full Text: DOI arXiv
Dudnikova, T. V. Stabilization of space-time statistical solutions for harmonic crystals. (English. Russian original) Zbl 1482.82045 J. Math. Sci., New York 255, No. 5, 623-639 (2021); translation from Probl. Mat. Anal. 109, 83-96 (2021). MSC: 82C22 82C20 37K60 60B10 60G15 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, J. Math. Sci., New York 255, No. 5, 623--639 (2021; Zbl 1482.82045); translation from Probl. Mat. Anal. 109, 83--96 (2021) Full Text: DOI
Dudnikova, T. V. On stationary nonequilibrium measures for wave equations. (English. Russian original) Zbl 07424587 Dokl. Math. 101, No. 3, 195-197 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 27-30 (2020). MSC: 82-XX 35-XX PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Dokl. Math. 101, No. 3, 195--197 (2020; Zbl 07424587); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 27--30 (2020) Full Text: DOI
Dudnikova, T. V. Virial identities and energy-momentum relation for solitary waves of nonlinear Dirac equations. (English) Zbl 1450.35228 Lobachevskii J. Math. 41, No. 6, 956-981 (2020). MSC: 35Q41 35Q40 35C08 81Q05 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Lobachevskii J. Math. 41, No. 6, 956--981 (2020; Zbl 1450.35228) Full Text: DOI arXiv
Dudnikova, T. V. Stabilization of statistical solutions for an infinite inhomogeneous chain of harmonic oscillators. (English. Russian original) Zbl 1439.82030 Proc. Steklov Inst. Math. 308, 168-183 (2020); translation from Tr. Mat. Inst. Steklova 308, 181-196 (2020). MSC: 82C22 34C10 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Proc. Steklov Inst. Math. 308, 168--183 (2020; Zbl 1439.82030); translation from Tr. Mat. Inst. Steklova 308, 181--196 (2020) Full Text: DOI
Dudnikova, T. V. Convergence to stationary states and energy current for infinite harmonic crystals. (English) Zbl 1435.82031 Russ. J. Math. Phys. 26, No. 4, 428-453 (2019). MSC: 82D25 82C20 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Russ. J. Math. Phys. 26, No. 4, 428--453 (2019; Zbl 1435.82031) Full Text: DOI arXiv
Dudnikova, T. V. On the energy current for the harmonic crystals in the half-space. (English. Russian original) Zbl 1431.82028 Dokl. Math. 100, No. 1, 343-345 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 3, 235-237 (2019). MSC: 82D25 82C35 28C20 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Dokl. Math. 100, No. 1, 343--345 (2019; Zbl 1431.82028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 3, 235--237 (2019) Full Text: DOI
Dudnikova, T. V. Behavior for large time of a two-component chain of harmonic oscillators. (English) Zbl 1409.34019 Russ. J. Math. Phys. 25, No. 4, 470-491 (2018). MSC: 34A12 34D05 34C11 34C15 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Russ. J. Math. Phys. 25, No. 4, 470--491 (2018; Zbl 1409.34019) Full Text: DOI
Dudnikova, T. V. Large-time behavior of an infinite system of harmonic oscillators on the half-line. (English. Russian original) Zbl 1447.34021 Proc. Steklov Inst. Math. 301, 82-97 (2018); translation from Tr. Mat. Inst. Steklova 301, 91-107 (2018). Reviewer: Caidi Zhao (Wenzhou) MSC: 34A33 34D05 34C15 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Proc. Steklov Inst. Math. 301, 82--97 (2018; Zbl 1447.34021); translation from Tr. Mat. Inst. Steklova 301, 91--107 (2018) Full Text: DOI
Dudnikova, T. V. On the asymptotical normality of statistical solutions for wave equations coupled to a particle. (English) Zbl 1459.82224 Russ. J. Math. Phys. 24, No. 2, 172-194 (2017). MSC: 82C31 82C05 35Q53 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Russ. J. Math. Phys. 24, No. 2, 172--194 (2017; Zbl 1459.82224) Full Text: DOI arXiv
Dudnikova, T. V. On convergence to equilibrium for one-dimensional chain of harmonic oscillators on the half-line. (English) Zbl 1372.35352 J. Math. Phys. 58, No. 4, 043301, 21 p. (2017). MSC: 35R20 34C15 34B05 34A12 70H05 35B40 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, J. Math. Phys. 58, No. 4, 043301, 21 p. (2017; Zbl 1372.35352) Full Text: DOI arXiv
Dudnikova, T. V. Long-time asymptotics of solutions to a Hamiltonian system on a lattice. (English. Russian original) Zbl 1357.34028 J. Math. Sci., New York 219, No. 1, 69-85 (2016); translation from Probl. Mat. Anal. 85, 69-82 (2016). MSC: 34A33 34A12 34D05 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, J. Math. Sci., New York 219, No. 1, 69--85 (2016; Zbl 1357.34028); translation from Probl. Mat. Anal. 85, 69--82 (2016) Full Text: DOI
Dudnikova, T. V. On the asymptotic normality of a harmonic crystal coupled to a wave field. (English. Russian original) Zbl 1348.81482 Math. Notes 99, No. 6, 942-945 (2016); translation from Mat. Zametki 99, No. 6, 941-944 (2016). MSC: 81V70 82D25 81Q05 81S30 82B31 60F05 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Math. Notes 99, No. 6, 942--945 (2016; Zbl 1348.81482); translation from Mat. Zametki 99, No. 6, 941--944 (2016) Full Text: DOI
Dudnikova, T. V. Caricature of hydrodynamics for lattice dynamics. (English) Zbl 1264.82081 \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 4, 245-258 (2012). MSC: 82C20 76D05 82D25 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 4, 245--258 (2012; Zbl 1264.82081) Full Text: DOI arXiv
Dudnikova, T. V. Lattice dynamics in the half-space. Energy transport equation. (English) Zbl 1312.37048 J. Math. Phys. 51, No. 8, 083301, 25 p. (2010). MSC: 37L60 82D25 82C70 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, J. Math. Phys. 51, No. 8, 083301, 25 p. (2010; Zbl 1312.37048) Full Text: DOI arXiv
Dudnikova, T. V. Convergence to equilibrium distribution. The Klein-Gordon equation coupled to a particle. (English) Zbl 1192.35022 Russ. J. Math. Phys. 17, No. 1, 77-95 (2010). MSC: 35B40 35L15 35R60 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Russ. J. Math. Phys. 17, No. 1, 77--95 (2010; Zbl 1192.35022) Full Text: DOI arXiv
Dudnikova, T. V. On the asymptotical normality of statistical solutions for harmonic crystals in half-space. (English) Zbl 1178.82078 Russ. J. Math. Phys. 15, No. 4, 460-472 (2008). MSC: 82D25 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Russ. J. Math. Phys. 15, No. 4, 460--472 (2008; Zbl 1178.82078) Full Text: DOI arXiv