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Journal of Computational Physics, ISSN 0021-9991, 06/2016, Volume 314, pp. 824 - 862
Journal Article
International Applied Mechanics, ISSN 1063-7095, 9/2016, Volume 52, Issue 5, pp. 449 - 507
The results of linearization of the basic equations describing a compressible viscous fluid in which low-amplitude oscillations occur or solids move or that... 
harmonic wave | acoustic field | prestress | Classical Mechanics | three-dimensional linearized theory | viscous compressible fluid | particle | Applications of Mathematics | radiation force | compressible and incompressible elastic body | Physics | Waveguides | Analysis | Radiation
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 12/2017, Volume 52, pp. 470 - 492
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 5/2018, Volume 228, Issue 2, pp. 495 - 562
We study the Navier–Stokes equations governing the motion of an isentropic compressible fluid in three dimensions interacting with a flexible shell of Koiter... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | UNSTEADY INTERACTION | ENERGY | MECHANICS | NAVIER-STOKES EQUATIONS | MOTION | KOITER TYPE SHELL | WEAK SOLUTIONS | VISCOUS-FLUID | DOMAINS | Mathematics - Analysis of PDEs
Journal Article
Wave Motion, ISSN 0165-2125, 07/2018, Volume 80, pp. 37 - 46
An expression for the acoustic radiation force function on a solid elastic spherical particle placed in an infinite rigid cylindrical cavity filled with an... 
Fluid-filled cylindrical cavity | Acoustic radiation force | Spherical particle | QUASI-GAUSSIAN BEAM | HEAT-CONDUCTING FLUID | PARTICLE | PHYSICS, MULTIDISCIPLINARY | FIELD | RIGID CYLINDER | ACOUSTICS | STANDING-WAVE | PRESSURE | MECHANICS | BESSEL BEAM | VISCOUS-FLUID | COMPRESSIBLE SPHERE | Acoustic properties | Wave propagation | Analysis | Radiation | Biomedical engineering
Journal Article
Annales de l'Institut Henri Poincare / Analyse non lineaire, ISSN 0294-1449, 2009, Volume 26, Issue 3, pp. 777 - 813
In this paper we deal with a fluid-structure interaction problem for a compressible fluid and a rigid structure immersed in a regular bounded domain in... 
Compressible fluid | Navier–Stokes equations | Fluid–structure interaction | Strong solutions | Fluid-structure interaction | Navier-Stokes equations | EXISTENCE | ELASTIC STRUCTURE | MATHEMATICS, APPLIED | MOTION | WEAK SOLUTIONS | VISCOUS-FLUID | GLOBAL-SOLUTIONS | DISCONTINUOUS INITIAL DATA | Fluid dynamics | Analysis
Journal Article
Journal of Non-Newtonian Fluid Mechanics, ISSN 0377-0257, 04/2019, Volume 266, pp. 59 - 71
The generalized bracket framework is used to derive a family of compressible viscoelastic models. The framework accounts for both reversible and non-reversible... 
TENSOR | ENHANCED DRAG | MECHANICS | TEMPERATURE EQUATION | THERMODYNAMICS | BEHAVIOR | DYNAMICS | THERMAL-CONDUCTIVITY | FORMULATION | CONSTITUTIVE EQUATION | EXTRUDATE SWELL | Thermodynamics | Analysis | Viscoelasticity | Compressibility | Computational fluid dynamics | Heat treating | Macroscopic models | Viscoelastic fluids | Strain
Journal Article
Доповiдi Нацiональної академiї наук України, ISSN 1025-6415, 07/2019, Volume 7, pp. 26 - 35
The problem of the propagation of quasi-Lamb waves in a pre-deformed incompressible elastic layer that interacts with the half-space of an viscous compressible... 
half-space of viscous compressible fluid | initial deformations | dispersion of waves | incompressible elastic layer
Journal Article
International Applied Mechanics, ISSN 1063-7095, 5/2018, Volume 54, Issue 3, pp. 249 - 258
The propagation of acoustic waves in a pre-deformed compressible elastic layer that interacts with a layer of compressible viscous fluid is studied. The... 
harmonic waves | Classical Mechanics | layer of viscous compressible fluid | Applications of Mathematics | compressible elastic layer | Physics | prestresses
Journal Article
International Applied Mechanics, ISSN 1063-7095, 11/2018, Volume 54, Issue 6, pp. 617 - 627
The problem of propagation quasi-Lamb waves in a prestrained elastic layer interacting with a half-space of compressible viscous fluid is considered. The... 
initial stresses | Classical Mechanics | half-space of viscous compressible fluid | quasi-Lamb waves | Applications of Mathematics | elastic layer | Physics
Journal Article
Afrika Matematika, ISSN 1012-9405, 12/2013, Volume 24, Issue 4, pp. 439 - 456
In the framework of the homogenization theory, we study the vibration of a mixture of two elastic solids and a slightly viscous compressible fluid. By using... 
35B27 | Vibration | Homogenization | Mathematics | History of Mathematical Sciences | Elastic materials | Two-scale convergence | 74D05 | 74H45 | 74B05 | Mathematics, general | Mathematics Education | Applications of Mathematics | 35B40 | Slightly viscous fluid
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2010, Volume 94, Issue 4, pp. 341 - 365
We are interested in the three-dimensional coupling between a compressible viscous fluid and an elastic structure immersed inside the fluid. They are contained... 
Elasticity | Fluid–structure interaction | Compressible fluids | Fluid-structure interaction | EXISTENCE | MATHEMATICS, APPLIED | UNSTEADY INTERACTION | DISCONTINUOUS INITIAL DATA | MATHEMATICS | NAVIER-STOKES EQUATIONS | MOTION | BODIES | WEAK SOLUTIONS | PLATE | VISCOUS-FLUID | GLOBAL-SOLUTIONS | Analysis of PDEs | Mathematics
Journal Article
International Applied Mechanics, ISSN 1063-7095, 3/2016, Volume 52, Issue 2, pp. 133 - 139
The Navier–Stokes three-dimensional linearized equations for a viscous fluid and the linear equations of classical elasticity for an elastic layer are used to... 
Mechanics | layer of viscous compressible fluid | harmonic waves | Applications of Mathematics | elastic layer | Physics | Wave propagation
Journal Article
International Applied Mechanics, ISSN 1063-7095, 7/2017, Volume 53, Issue 4, pp. 361 - 367
The dispersion curves are constructed and propagation of quasi-Lamb waves are studied for wide range of frequencies based on the Navier–Stokes... 
layer of viscous compressible fluid | harmonic waves | Applications of Mathematics | elastic layer | Physics | Classical Mechanics
Journal Article