A5041998777- Advanced Mathematical Physics Problems
- Arctic and Antarctic ice dynamics
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Nonlinear Dynamics and Pattern Formation
- Advanced Mathematical Modeling in Engineering
- Ocean Waves and Remote Sensing
- Aquatic and Environmental Studies
- Fluid Dynamics and Turbulent Flows
- Differential Equations and Numerical Methods
- Gas Dynamics and Kinetic Theory
- Solidification and crystal growth phenomena
- Fluid Dynamics and Thin Films
- Methane Hydrates and Related Phenomena
- Elasticity and Material Modeling
- Stability and Controllability of Differential Equations
- Dust and Plasma Wave Phenomena
- Enhanced Oil Recovery Techniques
- Cosmology and Gravitation Theories
- Navier-Stokes equation solutions
- Hydrocarbon exploration and reservoir analysis
- Coastal and Marine Dynamics
- Nanofluid Flow and Heat Transfer
- Lattice Boltzmann Simulation Studies
- Geophysics and Gravity Measurements
Steklov Mathematical Institute
2015-2024
Russian Academy of Sciences
2015-2024
Institute for Problems in Mechanics
2023
Bauman Moscow State Technical University
2014-2022
Gubkin Russian State University of Oil and Gas
2022
Moscow Engineering Physics Institute
2018
Belarusian State University
2003
University of Stuttgart
1998-1999
Lomonosov Moscow State University
1986
We first give a complete analysis of the dispersion relation for travelling waves propagating in pre-stressed hyperelastic membrane tube containing uniform flow. present an exact formula so-called pulse wave velocity, and demonstrate that as any pre-stress parameter is increased gradually, localized bulging would always occur before superimposed small-amplitude starts to grow exponentially. then study stability weakly fully nonlinear solutions may exist such fluid-filled tube. Previous...
We reexamine the problem of solitary wave propagation in a fluid-filled elastic membrane tube using much simplified procedure. It is shown that there may exist four families waves with speeds close to those given by linear dispersion relation, whether fluid initially stationary or not, and it not asymptotically consistent neglect axial displacement even long-wave approximation. also solutions obtained neglecting higher-order terms persist for full system equations sense has type each exact...
Abstract We first characterize strain solitary waves propagating in a fluid-filled membrane tube when the fluid is stationary prior to wave propagation and also subjected finite stretch. consider parameter regime where all traveling admitted by linearized governing equations have nonzero speed. Solitary are viewed as of amplitude that bifurcate from quiescent state system with speed playing role bifurcation parameter. Evolution diagram respect pre-stretch clarified. then study stability for...