Аннотация:
Цель работы – изучение предлагаемого в ней обобщения и уточнения понятий
ограниченности и притяжения с последующим использованием результатов
в применении к конкретным объектам.
Библиография: 8 названий.
Образец цитирования:
А. В. Бабин, М. И. Вишик, “Максимальные аттракторы полугрупп, соответствующих эволюционным дифференциальным уравнениям”, Матем. сб., 126(168):3 (1985), 397–419; A. V. Babin, M. I. Vishik, “Maximal attractors of semigroups corresponding to evolution differential equations”, Math. USSR-Sb., 54:2 (1986), 387–408
Xuesi Kong, Xingjie Yan, Rong Yang, “Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations”, J. Math. Fluid Mech., 27:1 (2025)
S. V. Zelik, “Attractors. Then and now”, УМН, 78:4(472) (2023), 53–198; Russian Math. Surveys, 78:4 (2023), 635–777
Florentine Catharina Fleißner, “Minimal solutions to generalized ΛΛ-semiflows and gradient flows in metric spaces”, Annali di Matematica, 202:1 (2023), 307
Chepyzhov V., Ilyin A., Zelik S., “Vanishing Viscosity Limit For Global Attractors For the Damped Navier–Stokes System With Stress Free Boundary Conditions”, Physica D, 376:SI (2018), 31–38
Michael Z. Zgurovsky, Pavlo O. Kasyanov, Studies in Systems, Decision and Control, 111, Qualitative and Quantitative Analysis of Nonlinear Systems, 2018, 125
Yejuan Wang, Meiyu Sui, “Finite lattice approximation of infinite lattice systems with delays and non-Lipschitz nonlinearities”, ASY, 106:3-4 (2018), 169
А. А. Ильин, В. В. Чепыжов, “О сильной сходимости аттракторов уравнений Навье–Стокса в пределе исчезающей вязкости”, Матем. заметки, 101:4 (2017), 635–639; A. A. Ilyin, V. V. Chepyzhov, “On Strong Convergence of Attractors of Navier–Stokes Equations in the Limit of Vanishing Viscosity”, Math. Notes, 101:4 (2017), 746–750
Grzegorz Łukaszewicz, Piotr Kalita, Advances in Mechanics and Mathematics, Navier–Stokes Equations, 2016, 337
Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Solid Mechanics and Its Applications, 211, Continuous and Distributed Systems, 2014, 149
Wenyan Zhao, Zhibo Zheng, “On the Incompressible Navier–Stokes Equations with Damping”, AM, 04:04 (2013), 652
П. О. Касьянов, “Многозначная динамика решений автономного дифференциально-операторного уравнения с псевдомонотонной нелинейностью”, Матем. заметки, 92:2 (2012), 225–240; P. O. Kas'yanov, “Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations with Pseudomonotone Nonlinearity”, Math. Notes, 92:2 (2012), 205–218
Razafimandimby P.A., “Trajectory Attractor for a Non-Autonomous Magnetohydrodynamic Equation of Non-Newtonian Fluids”, Dyn. Partial Differ. Equ., 9:3 (2012), 177–203
Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk, Advances in Mechanics and Mathematics, 27, Evolution Inclusions and Variation Inequalities for Earth Data Processing III, 2012, 3
Vorotnikov D., “Asymptotic Behavior of the Non-Autonomous 3D Navier–Stokes Problem with Coercive Force”, J. Differ. Equ., 251:8 (2011), 2209–2225
Miranville A., Schimperna G., “On a Doubly Nonlinear Cahn-Hilliard-Gurtin System”, Discrete Contin. Dyn. Syst.-Ser. B, 14:2, SI (2010), 675–697
Balibrea F., Caraballo T., Kloeden P.E., Valero J., “Recent Developments in Dynamical Systems: Three Perspectives”, Int. J. Bifurcation Chaos, 20:9 (2010), 2591–2636
Kapustyan O.V., Valero J., “Comparison Between Trajectory and Global Attractors for Evolution Systems Without Uniqueness of Solutions”, Int. J. Bifurcation Chaos, 20:9 (2010), 2723–2734
Grasselli M., Schimperna G., Zelik S., “Trajectory and Smooth Attractors for Cahn-Hilliard Equations with Inertial Term”, Nonlinearity, 23:3 (2010), 707–737
Morillas F., Valero J., “On the Kneser Property for Reaction-Diffusion Systems on Unbounded Domains”, Topology Appl., 156:18 (2009), 3029–3040
Grasselli M., Schimperna G., Segatti A., Zelik S., “On the 3D Cahn-Hilliard Equation with Inertial Term”, J. Evol. Equ., 9:2 (2009), 371–404
Цитирование в формате AMSBIB
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