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Mathematical Aspects of Contemporary Continuum Mechanics
(November 8–12, 2021, Steklov Mathematical Institute (Gubkina st. 8) + Zoom, Moscow)
The Conference will feature lectures by leading scientists. The topics include the theory of integrable systems, the theory of differential equations (both ordinary and partial), numeric methods, and the application of fundamental results to the description and study of practically significant models of continuum mechanics. The main focus will be on the mathematical description of models of hydrodynamics, hydroelasticity, linear and nonlinear elasticity theory (including elasticity of compliant media), filtration theory, phase transition theory, and gas dynamics, including the theory of boundary layer. Since the COVID-19 pandemic has not finished yet, the conference will be in a mixed format that combines in-person and virtual participation of the audience and speakers.
Financial support. The conference is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).
 Organizers
Chugainova Anna Pavlovna
Il'ichev Andrej Teimurazovich
Polekhin Ivan Yur'evich
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region |
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| Mathematical Aspects of Contemporary Continuum Mechanics, Moscow, November 8–12, 2021 |
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November 8, 2021 (Mon) |
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| 1. |
Polymer solutions and their mathematical models
Vladislav Puchnachev
November 8, 2021 10:30–11:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 2. |
Linear stability theory for spatially developing semi-bounded flows and media
Leo Brevdo
November 8, 2021 12:00–13:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 3. |
New results in hydrodynamic stability of shear flows
Vasily Vedeneev
November 8, 2021 14:15–15:30, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 4. |
Modeling nonlinear acoustic materials
Alexey Porubov
November 8, 2021 15:30–16:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 5. |
Numerical modeling of thermomechanical interaction of engineering structures and buildings with permafrost
Vasily Vasil'ev
November 8, 2021 17:00–18:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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November 9, 2021 (Tue) |
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| 6. |
Nonlinear internal waves in a layered fluid
Alexandr Chesnokov
November 9, 2021 10:30–11:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 7. |
Influence of anisotropic rheology on the properties of wave processes in sea ice
Aleksey Marchenko
November 9, 2021 12:00–13:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 8. |
Phenomenology of Vector Schrodinger Equation: Coupling, Polarization, Phase Difference, Quasi-Particle Dynamics
Michail Todorov
November 9, 2021 14:15–15:30, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 9. |
Elastic localizations: theory, experiments, and simulations
Yibin B. Fu
November 9, 2021 15:30–16:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 10. |
Nonlinear waves in materials and construction described by equations of mechanics of generalized continua
Vladimir Erofeev
November 9, 2021 17:00–18:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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November 10, 2021 (Wed) |
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| 11. |
Multiscale modeling: Modeling subgrid effects and temporal splitting
Yalchin Effendiev
November 10, 2021 10:30–11:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 12. |
Hierarchies of NLEE equations related to Kac-Moody algebras: spectral aspects
Vladimir Gerdjikov
November 10, 2021 12:00–13:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 13. |
Discontinuous solutions of dispersive equations: applications to water waves
Sergey Gavrilyuk
November 10, 2021 14:15–15:30, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 14. |
Flexural-gravity waves in complex systems
Tatyana Khabakhpasheva
November 10, 2021 15:30–16:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 15. |
Water waves under ice and related phenomena
Emilian I. Parau
November 10, 2021 17:00–18:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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November 11, 2021 (Thu) |
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| 16. |
Nambu-mechanics representation of Euler and MHD equations
Yasuhide Fukumoto
November 11, 2021 10:30–11:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 17. |
On one-dimensional reductions of the equations of cold plasma
Olga Rozanova
November 11, 2021 12:00–13:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 18. |
3D flows of Newtonian, viscoplastic and viscoelastic fluids with free surface
Yuri Vassilevski
November 11, 2021 14:15–15:30, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 19. |
Domain walls in the Bénard-Rayleigh convection problem: a spatial dynamics approach
Mariana Haragus
November 11, 2021 15:30–16:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 20. |
Two-phase Stokes flow by capillarity in full space: A direct approach via hydrodynamic potentials
Georg Prokert
November 11, 2021 16:45–18:00, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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November 12, 2021 (Fri) |
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| 21. |
Weak solutions to 2D and 3D compressible Navier-Stokes equations in critical case
Pavel Plotnikov
November 12, 2021 10:30–11:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 22. |
Elastic waves in soft tissues
Michel Destrade
November 12, 2021 12:00–13:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 23. |
A Wronskian method for wave propagation in a cylindrical annulus
John Chapman
November 12, 2021 14:15–15:30, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 24. |
Violent hydroelasticity
Alex Korobkin
November 12, 2021 15:30–16:45, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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| 25. |
Approximate calculation of the run-up of long waves on a gentle shore
Sergey Dobrokhotov
November 12, 2021 17:00–18:15, Moscow, Steklov Mathematical Institute (Gubkina st. 8) + Zoom
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