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Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics
We consider that 3D free-boundary compressible ideal magnetohydrodynamic (MHD) system under the Rayleigh-Taylor sign condition. This describes the...
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Influence of Finite Initial Deformations on Velocities of Generalized Lamb Waves in an Incompressible Elastic Layer Interacting with a Layer of an Ideal Fluid
The problem of normal wave propagation in a pre-deformed incompressible elastic layer that interacts with a layer of an ideal compressible fluid is...
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Compressible Flows with Oscillating Boundaries
AbstractThe flow of a viscous compressible heat-conducting fluid in a plane channel with rigid oscillating walls is considered. It is shown that even...
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LOCAL SOLVABILITY OF FREE BOUNDARY PROBLEMS IN IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH AND WITHOUT SURFACE TENSION
AbstractResults are presented on local-in-time solvability of free boundary problems for a system of ideal compressible magnetohydrodynamics. A free...
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Hybrid LES/RANS Simulations of Compressible Flow in a Linear Cascade of Flat Blade Profiles
The paper reports on 3D numerical simulations of unsteady compressible airflow in a blade cascade consisting of flat profiles using a hybrid LES/RANS...
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Field theoretic formulation of fluid mechanics according to the geometric algebra
A simple and coherent approach to fluid mechanics is presented using a proper formalism of geometric algebra. The analogy between the equations of...
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Influence of Prestresses on Normal Waves in an Elastic Compressible Half-Space Interacting with a Layer of a Compressible Ideal Fluid
The propagation of quasi-Lamb waves in a prestrained compressible elastic half-space that interacts with a layer of a compressible ideal fluid is...
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Natural Vibrations of Truncated Conical Shells Containing Fluid
AbstractThe article presents the results of studies on the natural vibration frequencies of circular truncated conical shells completely filled with...
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de Broglie Normal Modes in the Madelung Fluid
In an attempt to explore further the Madelung fluid-like representation of quantum mechanics, we derive the small perturbation equations of the fluid...
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Numerical study of the influence of local foreign-gas injection on the linear stability of compressible boundary layer
This work is devoted to a numerical study of the influence of foreign-gas injection on the stability of compressible boundary layer on a concave...
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Probabilistic Descriptions of Fluid Flow: A Survey
Fluids can behave in a highly irregular, turbulent way. It has long been realised that, therefore, some weak notion of solution is required when...
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Basic Equations of Fluid Mechanics
The basic equationsBasic equations of fluid mechanics are derived in their differential form so that they are applicable to different areas where...
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Numerical simulation of the development of Görtler vortices in compressible boundary layer on a concave surface
The generation and development of Görtler vortices in compressible boundary layer on a concave surface has been numerically simulated. The...
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Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics
We consider the free boundary problem for non-relativistic and relativistic ideal compressible magnetohydrodynamics in two and three spatial...
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Influence of real gas effects on shockwaves in shock tube
Supercritical carbon dioxide (SCO 2 ) is carbon dioxide that is maintained at a pressure and temperature higher than its critical point values,...
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Fluid Equations from Kinetic Theory
Important length-scales are introduced. Boltzmann equation for single-particle distribution function is derived. By taking moments of the Boltzmann...
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Basic Properties of Plasma in Fluid Model
If the spatial variation of plasma is longer than the particle mean free path and the time variation is sufficiently longer than the plasma Coulomb...
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Self-Similar Solutions of Compressible Fluids
Strong shock waves are used to compress and heat any matters in the laboratory. The ablation pressure by intense laser is used to compress even solid...
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Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws
We consider smooth solutions to a relaxed Euler system with Oldroyd-type constitutive laws. This system is derived from the one-dimensional...
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Lattice Boltzmann Modeling of Complex Fluids: Colloidal Suspensions and Fluid Mixtures
The study of complex fluid dynamics requires development of numerical tools that capture the essentials of the dynamic coupling among the different...